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    Build a Stirling Engine

    Stirling Engine & Stirling Cycle

     Cut away diagram of a rhombic drive beta configuration Stirling engine design  Pink - Hot cylinder wall Dark grey - Cold cylinder wall (with coolant inlet and outlet pipes in yellow) Dark green - Thermal insulation separating the two cylinder ends Light green - Displacer piston Dark blue - Power piston Light blue - Flywheels Not shown: external heat-source, and external heat-sinks. In this design the displacer piston is used without a regenerator.
    Cut away diagram of a rhombic drive beta configuration Stirling engine design
    Pink - Hot cylinder wall
    Dark grey - Cold cylinder wall (with coolant inlet and outlet pipes in yellow)
    Dark green - Thermal insulation separating the two cylinder ends
    Light green - Displacer piston
    Dark blue - Power piston
    Light blue - Flywheels
    Not shown: external heat-source, and external heat-sinks. In this design the displacer piston is used without a regenerator.

    The Stirling engine is working very differently from a regular vehicle internal-combustion engine.

    The gasses inside a Stirling engine do not leave the engine. There is no exhaust, detonation or combustion as in a gasoline or diesel engine. Because of this, Stirling engines are very quiet and therefore used in submarines where quiet operation is important, and similar applications.

    A Stirling engine operation is based on the Stirling cycle (see below). The Stirling cycle needs an external heat source like gasoline, solar energy or any other heat source.

    The Stirling engine is much more efficient than a gasoline or diesel engine.

    More scientifically, in the family of heat engines, 'Stirling engine' defines a closed-cycle regenerative hot air engine. In this context; "hot air" may be taken to include other permanent gases, "closed-cycle" to mean the working fluid is permanently contained within the system, and "regenerative" to refer to the use of an internal heat exchanger - the regenerator.

    Contents

    Stirling Engine
    Stirling Cycle

    Background

    In the conversion of heat into mechanical work, the Stirling engine has the potential to achieve the highest efficiency of any real heat engine, theoretically up to the full Carnot efficiency, though in practice this is limited by non-ideal properties of the working gas and engine materials, such as friction, thermal conductivity, tensile strength, creep, melting point, etc. The Stirling engine can run on any heat source, including solar, chemical and nuclear. There are many possible implementations of the Stirling engine most of which fall into the category of reciprocating piston engine.

    In contrast to internal combustion engines, Stirling engines have the potential to be more energy efficient, quieter, and more reliable with lower maintenance requirements. They are preferred for certain niche applications that value these unique advantages, particularly in cases where the primary objective is not to minimize the capital cost per unit power ($/kW), but rather to minimize the cost per unit energy generated by the engine ($/kWh). Compared to an internal combustion engine of a given power rating, Stirling engines currently have a higher capital cost and are usually larger and heavier; therefore, the engine technology is rarely competitive on this basis alone. For some applications, however, a proper cost-benefit analysis can favor a Stirling engine over an internal combustion engine.

    In recent years, the advantages of Stirling engines have become increasingly significant, given the general rise in energy costs, energy shortages and environmental concerns such as climate change. These growing interests in Stirling technology have fostered the ongoing research and development of Stirling devices. The applications include water pumping, space-based astronautics, and electrical generation from plentiful energy sources that are incompatible with the internal combustion engine, such as solar energy, agricultural waste and domestic refuse.

    Another useful characteristic of the Stirling engine is that the cycle is reversible. Which means that if supplied with mechanical power, it can function as a heat pump. Experiments have been performed using wind power driving a Stirling cycle heat pump for domestic heating and air conditioning. In the late 1930s, the Philips Corporation of the Netherlands successfully utilized the Stirling cycle in cryogenic applications.[1]

    History

    See also hot air engine history.

    Stirling's air engine (as it is referred to in early textbooks) was invented by Reverend Dr. Robert Stirling and patented by him in 1816. It followed earlier attempts at making an air engine and it was probably the first to be put to practical use when in 1818 an engine built by Stirling was employed pumping water in a quarry. When the name became simplified to Stirling engine is not known, but may be as recently as the mid twentieth century when the Philips company began to experiment with working fluids other than air. The main subject of Stirling's original patent was a heat exchanger which he called the "economiser" for its enhancement of fuel economy in a variety of applications. The patent also described in detail the employment of one form of the economiser in an air engine, in which application it is now commonly known as a regenerator. Subsequent development by Robert Stirling and his brother James, an engineer, resulted in patents for various improved configurations of the original engine, including pressurisation which by 1845 had sufficiently increased the power output for it to successfully drive all the machinery at a Dundee iron foundry.

    As well as conserving fuel, the inventors sought to create a safer alternative to the steam engines of the time whose boilers frequently exploded with dire consequences, often including loss of life. However, the need for the Stirling engine to run at a very high temperature to maximize power and efficiency exposed limitations in the materials of the day and few engines were built in those early years.

    Though it ultimately failed as a competitor to the steam engine in the field of industrial scale prime movers, during the latter nineteenth and early twentieth centuries smaller engines of the Stirling/hot air type were produced in large numbers, finding applications wherever a reliable source of low to medium power was required, such as raising water. These generally operated at lower temperatures so as not to tax available materials and thus tended to be rather inefficient, their major selling point being that in contrast to a steam engine, they could be operated safely by anybody capable of managing the fire in a domestic range. As the century wore on, this role was eventually usurped by the electric motor and small internal combustion engines and by the late 1930s the Stirling engine was a largely forgotten scientific curiosity represented only by toys and a few small ventilating fans.

    At this time Philips, the large Dutch electrical and electronic manufacturer, was seeking to expand the market for its radio sets into areas where mains electricity was unknown and the supply of short-lived batteries uncertain. Philips’ management decided that what was needed was a low-powered portable generator and tasked a group of engineers at the company research lab (the Nat. Lab) in Eindhoven to investigate the practicalities. Reviewing various prime movers old and new, each was rejected for one reason or another until the Stirling engine was considered. Inherently quiet and capable of running from any heat source (common lamp oil “cheap and available everywhere” was favoured), it seemed to offer real possibilities. Encouraged by their first experimental engine, which produced 16 watts of shaft power from a bore and stroke of 30x25mm, a development program was set in motion.

    Remarkably, this work continued throughout World War II and by the late 1940s they had an engine – the Type 10 – which was sufficiently developed to be handed over to Philips’ subsidiary Johan de Witt in Dordrecht to be ‘productionised’ and incorporated into a generator set as originally planned. The set progressed through three prototypes (102A, B, and C), with the production version, rated at 200 watts electrical output from a bore and stroke of 55x27 mm, being designated MP1002CA (affectionately known as the 'Bungalow set'). Production of an initial batch began in 1951, but it became clear that they could not be made at a price that the market would support, besides which the advent of transistor radios with their much lower power requirements meant that the whole raison d'être for the set was fast disappearing. Though the MP1002CA may have been a dead end, it represents the start of the modern age of Stirling engine development.

    Philips went on to develop the Stirling engine for a wide variety of applications including vehicles, but only achieved any commercial success with the 'reversed Stirling engine' cryocooler. They did however take out a large number of patents and amass a wealth of information relating to Stirling engine technology, which was later licensed to other companies.

    Functional description

    The engine cycle

    Since the Stirling engine is a closed cycle, it contains a fixed mass of gas called the "working fluid", most commonly air, hydrogen or helium. In normal operation, the engine is sealed and no gas enters or leaves the engine. No valves are required, unlike other types of piston engines. The Stirling engine, like most heat-engines, cycles through four main processes: cooling, compression, heating and expansion. This is accomplished by moving the gas back and forth between hot and cold heat exchangers. The hot heat exchanger is in thermal contact with an external heat source, e.g. a fuel burner, and the cold heat exchanger being in thermal contact with an external heat sink, e.g. air fins. A change in gas temperature will cause a corresponding change in gas pressure, while the motion of the piston causes the gas to be alternately expanded and compressed.

    The gas follows the behavior described by the gas laws which describe how a gas's pressure, temperature and volume are related. When the gas is heated, because it is in a sealed chamber, the pressure rises and this then acts on the power piston to produce a power stroke. When the gas is cooled the pressure drops and this means that less work needs to be done by the piston to compress the gas on the return stroke, thus yielding a net power output.

    When one side of the piston is open to the atmosphere, the operation is slightly different. As the sealed volume of working gas comes in contact with the hot side, it expands, doing work on both the piston and on the atmosphere. When the working gas contacts the cold side, the atmosphere does work on the gas and "compresses" it. Atmospheric pressure, which is greater than the cooled working gas, pushes on the piston.

    To summarize, the Stirling engine uses the temperature difference between its hot end and cold end to establish a cycle of a fixed mass of gas expanding and contracting within the engine, thus converting thermal energy into mechanical power. The greater the temperature difference between the hot and cold sources, the greater the potential Carnot cycle efficiency.

    Video showing the compressor and displacer of a very small Stirling Engine in action

    Small demonstration engines have been built which will run on a temperature difference of as little as 7 °C, e.g. between the palm of a hand and the surrounding air, or between room temperature and melting water ice.[2][3][4]

    Pressurization

    Most high performance Stirling engines are pressurized, that is the mean pressure of the working fluid is above atmospheric pressure. This increases the mass of working fluid processed per cycle, thus, all other things being equal, the engine produces more power. Unfortunately all other things seldom are equal, and to realise the potential of pressurization larger heat exchangers (including the regenerator) are required. This inevitably increases dead space and possibly gas flow resistance, both of which tend to reduce power output. Like most aspects of Stirling engine design, optimization of this aspect is a delicate balancing act between often conflicting requirements. It was experimenting with pressurization which initially led Philips to move from atmospheric air to other gases for the working fluid. At high temperatures and pressures, the oxygen in air tended to combine with any lubricating oil that made its way past the piston seals, giving problems with clogging the heat exchangers or even the possibility of an explosion. It was later found that some gases, particularly hydrogen and helium, offered other advantages over air.

    A Stirling engine and generator set with 55 kW electrical output, for combined heat and power applications. Click image for detailed description.
    A Stirling engine and generator set with 55 kW electrical output, for combined heat and power applications. Click image for detailed description.

    The Stirling cycle

    For a detailed description see the Stirling cycle thermodynamics section below

    The idealized or "text book" Stirling cycle is a thermodynamic cycle with two isochores (constant volume) and two isotherms (constant temperature). It is the most efficient thermodynamic cycle capable of practical implementation in an engine - its theoretical efficiency equaling that of the hypothetical Carnot cycle. However real-world issues reduce the efficiency of actual engines, due to limits of convective heat transfer, and viscous (friction). There are also practical mechanical considerations, for instance a simple kinematic linkage may be favored over a more complex mechanism needed to replicate the idealized cycle. See also Stirling cycle

    The regenerator

    In a Stirling engine, the regenerator is an internal heat exchanger and temporary store placed between the hot and cold spaces such that the working fluid passes through it first in one direction then the other. Its function is to retain within the system that heat which would otherwise be exchanged with the environment at temperatures intermediate to the maximum and minimum cycle temperatures, thus enabling the thermal efficiency of the cycle to approach the limiting Carnot efficiency defined by those maxima and minima.

    The primary effect of regeneration in a Stirling engine is to greatly increase the thermal efficiency by 'recycling' internally heat which would otherwise pass through the engine irreversibly. As a secondary effect, increased thermal efficiency promises a higher power output from a given set of hot and cold end heat exchangers (since it is these which usually limit the engine's heat throughput), though, in practice this additional power may not be fully realized as the additional dead space and pumping loss inherent in practical regenerators tends to have the opposite effect.

    A regenerator is difficult to design. The ideal regenerator would be: a perfect insulator in one direction, a perfect conductor in another, have no internal volume yet infinite flow area and infinite surface area. As with the hot and cold exchangers, achieving a successful regenerator is a delicate balancing act between high heat transfer with low viscous pumping losses and low dead space. These inherent design conflicts are one of many factors which limit the efficiency of practical Stirling engines. A typical embodiment might consist of a stack of fine metal wire meshes, with low porosity to reduce dead space, and with the wire axes perpendicular to the gas flow to reduce conduction in that direction.

    The regenerator is the key feature invented by Robert Stirling and its presence or otherwise should be used to distinguish a true Stirling engine from other closed cycle hot air engines.

    Many engines which have no apparent regenerator can still with some justification be called Stirling engines as, in the simple beta and gamma configurations with a 'loose fitting' displacer, the surfaces of the displacer and its cylinder will cyclically exchange heat with the working fluid providing some regenerative effect. This is most often seen in small model and LTD types where the additional flow losses and dead space associated with a separate regenerator could actually prove counterproductive and the 'no regenerator' approach is probably near optimal.

    Also see: Economiser

    Engine configurations

    Engineers classify Stirling engines into three distinct types. The Alpha type engine relies on interconnecting the power pistons of multiple cylinders to move the working gas, with the cylinders held at different temperatures. The Beta and Gamma type Stirling engines use a displacer piston to move the working gas back and forth between hot and cold heat exchangers in the same cylinder.

    Alpha Stirling

    • An alpha Stirling contains two separate power pistons in separate cylinders, one "hot" piston and one "cold" piston. The hot piston cylinder is situated inside the higher temperature heat exchanger and the cold piston cylinder is situated inside the low temperature heat exchanger. This type of engine has a very high power-to-volume ratio but has technical problems due to the usually high temperature of the "hot" piston and the durability of its seals. (See animation here[5])

    Action of an alpha type Stirling engine

    The following diagrams do not show a regenerator, which would be placed in the pipe connecting the two cylinders. The crankshaft has also been omitted.

    1. Most of the working gas is in contact with the hot cylinder walls, it has been heated and expansion has pushed the hot piston to the top of the cylinder. Expansion continues in the cold cylinder piston, which is 90o behind the hot piston in its cycle, extracting still more work from the hot gas.
    1. Most of the working gas is in contact with the hot cylinder walls, it has been heated and expansion has pushed the hot piston to the top of the cylinder. Expansion continues in the cold cylinder piston, which is 90o behind the hot piston in its cycle, extracting still more work from the hot gas.
    2. The gas is now at its maximum volume. The hot cylinder piston begins to move most of the gas into the cold cylinder, where it cools and the pressure drops.
    2. The gas is now at its maximum volume. The hot cylinder piston begins to move most of the gas into the cold cylinder, where it cools and the pressure drops.
    Alpha type Stirling. Animated version.
    Alpha type Stirling. Animated version.
    3. Almost all the gas is now in the cold cylinder and cooling continues. The cold piston, powered by flywheel momentum or other piston pairs on the same shaft, compresses the remaining part of the gas.
    3. Almost all the gas is now in the cold cylinder and cooling continues. The cold piston, powered by flywheel momentum or other piston pairs on the same shaft, compresses the remaining part of the gas.
    4. The gas reaches its minimum volume and the hot cylinder piston will now allow it to expand in the hot cylinder where it will be heated once more and drive the hot piston in its power stroke.
    4. The gas reaches its minimum volume and the hot cylinder piston will now allow it to expand in the hot cylinder where it will be heated once more and drive the hot piston in its power stroke.

    Beta Stirling

    • A beta Stirling has a single power piston arranged within the same cylinder on the same shaft as a displacer piston. The displacer piston is a loose fit and does not extract any power from the expanding gas but only serves to shuttle the working gas from the hot heat exchanger to the cold heat exchanger. When the working gas is pushed to the hot end of the cylinder it expands and pushes the power piston. When it is pushed to the cold end of the cylinder it contracts and the momentum of the machine, usually enhanced by a flywheel, pushes the power piston the other way to compress the gas. Unlike the alpha type, the beta type avoids the technical problems of hot moving seals. (See animation here[6])

    Action of a beta type Stirling engine

    A beta Stirling has two pistons within the same cylinder both connected to the same crankshaft. One of these is the tightly fitted power piston and the other a loosely fitted displacement piston.

    1. Power piston (dark grey) has compressed the gas, the displacer piston (light grey) has moved so that most of the gas is adjacent to the hot heat exchanger.
    1. Power piston (dark grey) has compressed the gas, the displacer piston (light grey) has moved so that most of the gas is adjacent to the hot heat exchanger.
    2. The heated gas increases its pressure and pushes the power piston along the cylinder. This is the power stroke.
    2. The heated gas increases its pressure and pushes the power piston along the cylinder. This is the power stroke.
    3. The displacer piston now moves to shunt the gas to the cold end of the cylinder.
    3. The displacer piston now moves to shunt the gas to the cold end of the cylinder.
    4. The cooled gas is now compressed by the flywheel momentum. This takes less energy since when it cooled its pressure also dropped.
    4. The cooled gas is now compressed by the flywheel momentum. This takes less energy since when it cooled its pressure also dropped.
    Beta type Stirling. Animated version. Note the Power piston lags the Displacer piston by 90o. In this design the displacer piston shaft passes through the power piston in a gas proof sleeve.
    Beta type Stirling. Animated version.
    Note the Power piston lags the Displacer piston by 90o. In this design the displacer piston shaft passes through the power piston in a gas proof sleeve.

    Gamma Stirling

    • A gamma Stirling is simply a beta Stirling in which the power piston is mounted in a separate cylinder alongside the displacer piston cylinder, but is still connected to the same flywheel. The gas in the two cylinders can flow freely between them and remains a single body. This configuration produces a lower compression ratio but is mechanically simpler and often used in multi-cylinder Stirling engines.

    Other types

    Changes to the configuration of mechanical Stirling engines continue to interest engineers and inventors. Notably, some are in pursuit of the rotary Stirling engine; the goal here is to convert power from the Stirling cycle directly into torque, a similar goal to that which led to the design of the rotary combustion engine. No practical engine has yet been built but a number of concepts, models and patents have been produced.[7][8]

    An alternative to the mechanical Stirling device is the Fluidyne engine or heat pump, which use hydraulic piston(s) to implement the Stirling cycle. The work produced by a Fluidyne engine goes into pumping the liquid. In its simplest form, the engine contains a working gas, a liquid and two non-return valves.

    There is also a field of "free piston" Stirling cycles engines, including those with liquid pistons and those with diaphragms as pistons.

    Thermoacoustic cycle

    A recent development of Stirling devices are the Thermoacoustic engine and Thermoacoustic refrigerator. These devices are mechanically very different than Stirling devices, although the individual path traveled by each working gas molecule does follow a real Stirling cycle. High-amplitude acoustic standing waves cause compression and expansion analogous to a Stirling power piston, while out-of-phase acoustic traveling waves cause displacement along a temperature gradient, analogous to a Stirling displacer piston. Thus a thermoacoustic device typically does not have a displacer, as found in a beta or gamma Stirling.

    Heat sources

    Point focus parabolic dish with Stirling engine and its solar tracker at Plataforma Solar de Almería (PSA) in Spain.
    Point focus parabolic dish with Stirling engine and its solar tracker at Plataforma Solar de Almería (PSA) in Spain.

    Virtually any temperature difference will power a Stirling engine. The heat source may be derived from fuel combustion, hence the term "external combustion engine", although the heat source may also be solar, geothermal, waste heat, nuclear or even biological. Likewise a "cold sink" can be used in lieu of a heat source, if it is below the ambient temperature (see also: liquid nitrogen economy). A cold source may be the result of a cryogenic fluid or ice water. In the case where a small temperature differential is used to generate a significant amount of power, large mass flows of heating and cooling fluids must be pumped through the external heat exchangers, thus causing parasitic losses that tend to reduce the efficiency of the cycle.

    In all external heat engines, a heat exchanger separates the working gas from the heat source, so a wide range of heat sources can be used, including any fuel or waste heat from some other process. Since the combustion products do not contact the internal moving parts of the engine, a Stirling engine can run on landfill gas containing siloxanes without the accumulation of silica that damages internal combustion engines running on this fuel.

    Most Stirling devices do not use lubricating liquids like oil, because they would tend to foul the regenerator. Instead, any sliding surfaces will use materials with a low coefficient of friction, such as PTFE or graphite. Alternatively, sliding surfaces can be avoided altogether by using diaphragms for sealed pistons. These are some of the factors that allow Stirling engines to often have lower maintenance requirements and longer life than internal-combustion engines.

    The U.S. Department of Energy in Washington, NASA Glenn Research Center in Cleveland, and Infinia Corporation of Kennewick, Wash., are developing a free-piston Stirling converter for a Stirling Radioisotope Generator. This device would use a plutonium source to supply heat.

    Recent commercial development

    In the late 1940s, the Philips Electronics company in The Netherlands was searching for a versatile electricity generator to enable worldwide expansion of sales of its electronic devices in areas with no reliable electricity infrastructure. The company put a huge R&D research effort into Stirling engines building on research it had started in the 1930s and which lasted until the 1970s. The only lasting commercial product for Philips was its reversed Stirling engine: the Stirling cryocooler (see below).

    Los Alamos National Laboratory has developed an "Acoustic Stirling Heat Engine"[9] with no moving parts. It converts heat into intense acoustic power which (quoted from given source) "can be used directly in acoustic refrigerators or pulse-tube refrigerators to provide heat-driven refrigeration with no moving parts, or ... to generate electricity via a linear alternator or other electroacoustic power transducer".

    Think Nordic, an electric car company in Norway, is working with inventor Dean Kamen on plans to install Stirling engines in the Think City, an otherwise all-electric vehicle that will be commercially available at the end of 2007, at least in Europe.

    Since 1988,[10] Kockums shipyards have equipped submarines with Stirling engines. They are currently used on submarines of the Gotland and Södermanland classes. These engines are run on diesel and liquid oxygen and are fitted under the name Stirling AIP for air-independent propulsion.

    WhisperGen, a New Zealand based technology company has developed stirling engines that can be powered by natural gas or diesel both on and off grid. Recently an agreement has been signed with Mondragon Corporación Cooperativa, a Spanish firm, to produce WhisperGen's microCHP and make them available for the domestic market in Europe. Some time ago Powergen, the UK subsidiary of German E.on announced a similar initiative for the UK. Stirling engines would supply the client with hot water, heating and a surplus electric power that could be fed back into the electric grid.

    Stirling cycle thermodynamics

    A pressure/volume graph of the ideal Stirling cycle. In applications of the Stirling cycles (ie. Stirling engines) this cycle is quasi-elliptical, or at the very least, curved at the sharp corners.
    A pressure/volume graph of the ideal Stirling cycle. In applications of the Stirling cycles (ie. Stirling engines) this cycle is quasi-elliptical, or at the very least, curved at the sharp corners.

    The ideal Stirling cycle consists of four thermodynamic processes acting on the working fluid ( See diagram to right):

    This ideal Stirling cycle is commonly known as a "squared-cycle", because when graphed on a Pressure-Volume plot, the rapid transitions between the processes produce a shape with corners. In a real Stirling engine, physical design constraints limit the net force on each engine component, and thus limit the maximum acceleration (or rate-of-change of velocity). Thus a real Stirling cycle in a Stirling engine requires relatively smooth motion, which is commonly sinusoidal or quasi-sinusoidal. In this case the shape of the PV-plot is quasi-elliptical. Also in a real engine cycle, the heat transfer performance of the heat exchangers ranges from 100% effectiveness in an isothermal process, to 0% effectiveness in an adiabatic process (no heat transfer). The compression and expansion processes can be modeled as a polytropic processes[11]

    PVn = k,

    where k is constant, and n is bounded by:

    1 \le n \le \frac{c_p} {c_V} \le 2 .

    where cV is the specific heat capacity at constant volume (J/kgK) and cp is the specific heat capacity at constant pressure (J/kgK)

    Compared to the ideal cycle, the efficiency of a real engine is reduced by irreversibilities, friction, and the loss of short-circuit conducted heat, so that the overall efficiency is often only about half of the ideal (Carnot) efficiency.[12]

    1. The working gas is heated at a constant volume to a higher temperature. This increases its pressure. (points  4 to 1 on the graph)
    1. The working gas is heated at a constant volume to a higher temperature. This increases its pressure. (points 4 to 1 on the graph)
    2. The working gas expands at a constant temperature to a larger volume. This decreases its pressure. The gas does work to move the piston up. (points 1 to 2 on the graph)
    2. The working gas expands at a constant temperature to a larger volume. This decreases its pressure. The gas does work to move the piston up. (points 1 to 2 on the graph)
    2a. The gas is now fully transferred to the cool cylinder. (Point 2 on the graph)
    2a. The gas is now fully transferred to the cool cylinder. (Point 2 on the graph)
    3. The working gas is cooled at constant volume to a lower temperature. This decreases its pressure. (Points  2 to 3 on the graph)
    3. The working gas is cooled at constant volume to a lower temperature. This decreases its pressure. (Points 2 to 3 on the graph)
    4. The working gas contracts at a constant temperature to a smaller volume. This increases its pressure. (Points  3 to 4 on the graph)The Piston does work to compress the gas as it moves down. But this is less than that delivered to the piston on cycle 2
    4. The working gas contracts at a constant temperature to a smaller volume. This increases its pressure. (Points 3 to 4 on the graph)The Piston does work to compress the gas as it moves down. But this is less than that delivered to the piston on cycle 2
    4a. The gas is now fully transferred to the hot cylinder. (Point 4 on the graph)
    4a. The gas is now fully transferred to the hot cylinder. (Point 4 on the graph)

    Advantages of Stirling engines

    • They can run directly on any available heat source, not just one produced by combustion, so they can be employed to run on heat from solar, geothermal, biological, nuclear sources or waste heat from any industrial process.
    • A continuous combustion process can be used to supply heat, so most types of emissions can be greatly reduced.
    • Most types of Stirling engines have the bearing and seals on the cool side of the engine; consequently, they require less lubricant and last significantly longer between overhauls than other reciprocating engine types.
    • The engine mechanisms are in some ways simpler than other types of reciprocating engine types, i.e. no valves are needed, and the fuel burner system can be relatively simple.
    • A Stirling engine uses a single-phase working fluid which maintains an internal pressure close to the design pressure, and thus for a properly designed system the risk of explosion is relatively low. In comparison, a steam engine uses a two-phase gas/liquid working fluid, so a faulty relief valve can cause an over-pressure condition and a potentially dangerous explosion.
    • In some cases, low operating pressure allows the use of lightweight cylinders.
    • They can be built to run very quietly and without an air supply, for air-independent propulsion use in submarines or in space.
    • They start easily (albeit slowly, after a warm-up period) and run more efficiently in cold weather, in contrast to the internal combustion which starts quickly in warm weather, but not in cold weather.
    • A Stirling engine used for pumping water can be configured so that the pumped water cools the compression space. This is, of course, most effective when pumping cold water.
    • They are extremely flexible. They can be used as CHP (combined heat and power) in the winter and as coolers in summers.
    • Waste heat is relatively easily harvested (compared to waste heat from an internal combustion engine) making Stirling engines useful for dual-output heat and power systems.

    Disadvantages of Stirling engines

    Size and cost issues

    • Stirling engine designs require heat exchangers for heat input and for heat output, and these must contain the pressure of the working fluid, where the pressure is proportional to the engine power output. In addition, the expansion-side heat exchanger is often at very high temperature, so the materials must resist the corrosive effects of the heat source, and have low creep (deformation). Typically these material requirements substantially increase the cost of the engine. The materials and assembly costs for a high temperature heat exchanger typically accounts for 40% of the total engine cost. (Hargraves)
    • All thermodynamic cycles require large temperature differentials for efficient operation; however, in an external combustion engine, the heater temperature always equals or exceeds the expansion temperature. This means that the metallurgical requirements for the heater material are very demanding. This is similar to a Gas turbine, but is in contrast to a Otto engine or Diesel engine, where the expansion temperature can far exceed the metallurgical limit of the engine materials, because the input heat-source is not conducted through the engine; so the engine materials operate closer to the average temperature of the working gas.
    • Dissipation of waste heat is especially complicated because the coolant temperature is kept as low as possible to maximize thermal efficiency. This increases the size of the radiators, which can make packaging difficult. Along with materials cost, this has been one of the factors limiting the adoption of Stirling engines as automotive prime movers. However, for other applications high power density is not required, such as Ship propulsion, and stationary microgeneration systems using combined heat and power (CHP).[13]

    Power and torque issues

    • Stirling engines, especially those that run on small temperature differentials, are quite large for the amount of power that they produce (i.e. they have low specific power). This is primarily due to the low heat transfer coefficient of gaseous convection which limits the heat flux that can be attained in an internal heat exchanger to about 4 - 20 W/(m*K). This makes it very challenging for the engine designer to transfer heat into and out of the working gas. Increasing the temperature differential and/or pressure allows Stirling engines to produce more power, assuming the heat exchangers are designed for the increased heat load, and can deliver the convected heat flux necessary.
    • A Stirling engine cannot start instantly; it literally needs to "warm up". This is true of all external combustion engines, but the warm up time may be shorter for Stirling's than for others of this type such as steam engines. Stirling engines are best used as constant speed engines.
    • Power output of a Stirling tends to be constant and to adjust it can sometimes require careful design and additional mechanisms. Typically, changes in output are achieved by varying the displacement of the engine (often through use of a swashplate crankshaft arrangement), or by changing the quantity of working fluid, or by altering the piston/displacer phase angle, or in some cases simply by altering the engine load. This property is less of a drawback in hybrid electric propulsion or "base load" utility generation where constant power output is actually desirable.

    Gas choice issues

    • Hydrogen's low viscosity, high thermal conductivity and specific heat make it the most efficient working gas, in terms of thermodynamics and fluid dynamics, to use in a Stirling engine. However, given the high diffusion rate associated with this low molecular weight gas, hydrogen will leak through solid metal, thus it is very difficult to maintain pressure inside the engine for any length of time without replacement of the gas. Typically, auxiliary systems need to be added to maintain the proper quantity of working fluid. These systems can be a gas storage bottle or a gas generator. Hydrogen can be generated either by electrolysis of water, or by the reaction of acid on metal. Hydrogen can also cause the embrittlement of metals. Hydrogen is also a very flammable gas, while helium is inert.
    • Most technically advanced Stirling engines, like those developed for United States government labs, use helium as the working gas, because it functions close to the efficiency and power density of hydrogen with fewer of the material containment issues. Helium is relatively expensive, and must be supplied by bottled gas. One test showed hydrogen to be 5% absolutely (24% relatively) more efficient than helium in the GPU-3 Stirling engine.[14]
    • Some engines use air or nitrogen as the working fluid. These gases are less thermodynamically efficient but they minimize the problems of gas containment and supply. The use of Compressed air in contact with flammable materials or substances such as lubricating oil, introduces an explosion hazard, because compressed air contains a high partial pressure of oxygen. However, oxygen can be removed from air through an oxidation reaction, or bottled nitrogen can be used.

    Applications

    A desktop alpha Stirling engine. The working fluid in this engine is air. The hot heat exchange is the glass cylinder on the right, and the cold heat exchanger is the finned cylinder on the top. This engine uses a small alcohol burner (bottom right) as a heat source.
    A desktop alpha Stirling engine. The working fluid in this engine is air. The hot heat exchange is the glass cylinder on the right, and the cold heat exchanger is the finned cylinder on the top. This engine uses a small alcohol burner (bottom right) as a heat source.

    Combined heat and power applications

    Power plants on the electric grid use fuel to produce electricity, however there are large quantities of waste-heat produced which often go unused. In other situations, high-grade fuel is burned at high-temperature for a low-temperature application. According to the second law of thermodynamics, a heat engine can generate power from this temperature difference. In a CHP system, the high-temperature primary heat enters the Stirling engine heater, then some of the energy is converted to mechanical power in the engine, and the rest passes through to the cooler, where it exits at a low temperature. The "waste" heat actually comes from engine's main cooler, and possibly from other sources such as the exhaust of the burner, if there is one.

    In a combined heat and power (CHP) system, mechanical or electrical power is generated in the usual way, however, the waste heat given off by the engine is used to supply a secondary heating application. This can be virtually anything that uses low-temperature heat. It is often a pre-existing energy use, such as commercial space heating, residential water heating, or an industrial process.

    CHP does not increase efficiency according to the first law of thermodynamics (conservation of energy), nor does it violate that law, but rather, CHP operates closer to the efficiency limit allowed by the second law.

    The power produced by the engine can be used to run an industrial or agricultural process, which in turn creates biomass waste refuse that can be used as free fuel for the engine, thus reducing waste removal costs. The overall process is very resourceful, thus making it efficient and cost-effective overall.

    WhisperGen, a New Zealand firm with offices in Christchurch, has developed an "AC Micro Combined Heat and Power" Stirling cycle engine. These microCHP units are gas-fired central heating boilers which sell unused power back into the electricity grid. WhisperGen announced in 2004 that they were producing 80,000 units for the residential market in the United Kingdom. A 20 unit trial in Germany started in 2006.

    Solar power generation

    Placed at the focus of a parabolic mirror a Stirling engine can convert solar energy to electricity with an efficiency better than non-concentrated photovoltaic cells, and comparable to Concentrated Photo Voltaics. On August 11, 2005, Southern California Edison announced[15] an agreement to purchase solar powered Stirling engines from Stirling Energy Systems[16] over a twenty year period and in quantity (20,000 units) sufficient to generate 500 megawatts of electricity. These systems, on a 4,500 acre (19 km²) solar farm, will use mirrors to direct and concentrate sunlight onto the engines which will in turn drive generators.

    Stirling cryocoolers

    Any Stirling engine will also work in reverse as a heat pump: i.e. when a motion is applied to the shaft, a temperature difference appears between the reservoirs. The essential mechanical components of a Stirling cryocooler are identical to a Stirling engine. In both the engine and the heat pump, heat flows from the expansion space to the compression space; however, input work is required in order for heat to flow against a thermal gradient, specifically when the compression space is hotter than the expansion space. The external side of the expansion-space heat-exchanger may be placed inside a thermally insulated compartment such as a vacuum flask. Heat is in effect pumped out of this compartment, through the working gas of the cryocooler and into the compression space. The compression space will be above ambient temperature, and so heat will flow out into the environment.

    One of their modern uses is in cryogenics, and to a lesser extent, refrigeration. At typical refrigeration temperatures, Stirling coolers are generally not economically competitive with the less expensive mainstream Rankine cooling systems, even though they are typically 20% more energy efficient. However, below about -40 to -30 deg.C, Rankine is not effective because there are no suitable refrigerants with boiling points this low. Stirling cryocoolers are able to "lift" heat down to -200 deg.C (73 K), which is sufficient to liquefy air (oxygen, nitrogen and argon). They can go as low as 60K - 40K, depending on the particular design. Cryocoolers for this purpose are more-or-less competitive with other cryocooler technologies. The coefficient of performance at cryogenic temperatures is typically 4-5%.[1] Empirically, the devices show a linear trend, where typically the COP = 0.0015 × Tc - 0.065 , where Tc is the cryogenic temperature. At these temperatures, solid materials have lower values for specific heat, so the regenerator must be made out of unexpected materials, such as cotton.

    The first Stirling-cycle cryocooler was developed at Philips in the 1950s and commercialized in such places as liquid air production plants. The Philips Cryogenics business evolved until it was split off in 1990 to form the Stirling Cryogenics & Refrigeration BV,[17] The Netherlands. This company is still active in the development and manufacturing of Stirling cryocoolers and cryogenic cooling systems.

    A wide variety of smaller size Stirling cryocoolers are commercially available for tasks such as the cooling of electronic sensors and sometimes microprocessors. For this application, Stirling cryocoolers are the highest performance technology available, due to their ability to lift heat efficiently at very low temperatures. They are silent, vibration-free, and can be scaled down to small sizes, and have very high reliability and low maintenance. As of 2008, cryocoolers are considered to be the only commercially successful Stirling devices.

    Just as a Stirling engine can be reversed, a thermoacoustic engine can also be reversed to make a Thermoacoustic refrigeration device.

    Heat pump

    A Stirling heat pump is very similar to a Stirling cryocooler, the main difference being that it usually operates at room-temperature and its principal application to date is to pump heat from the outside of a building to the inside, thus cheaply heating it.

    As with any other Stirling device, heat flows from the expansion space to the compression space; however, in contrast to the Stirling engine, the expansion space is at a lower temperature than the compression space, so instead of producing work, an input of mechanical work is required by the system (in order to satisfy the second law of thermodynamics). When the mechanical work for the heat-pump is provided by a second Stirling engine, then the overall system is called a "heat-driven, heat-pump".

    The expansion-side of the heat-pump is thermally coupled to the heat-source, which is often the external environment. The compression side of the Stirling device is placed in the environment to be heated, for example a building, and heat is "pumped" into it. Typically there will be thermal insulation between the two sides so there will be a temperature rise inside the insulated space.

    Heat-pumps are by far the most energy-efficient types of heating systems. Stirling heat-pumps also often have a higher coefficient of performance than conventional heat-pumps. To date, these systems have seen limited commercial use; however, use is expected to increase along with market demand for energy conservation, and adoption will likely be accelerated by technological refinements.

    Marine engines

    Kockums,[18] the Swedish shipbuilder, had built at least 8 commercially successful Stirling powered submarines during the 1980s. As of 2005 they have started to carry compressed oxygen with them (see Gotland class submarine).

    Nuclear power

    There is a potential for nuclear-powered Stirling engines in electric power generation plants. Replacing the steam turbines of nuclear power plants with Stirling engines might simplify the plant, yield greater efficiency, and reduce the radioactive by-products. A number of breeder reactor designs use liquid sodium as coolant. If the heat is to be employed in a steam plant, a water/sodium heat exchanger is required, which raises some concern as sodium reacts violently with water. A Stirling engine obviates the need for water anywhere in the cycle.

    United States government labs have developed a modern Stirling engine design known as the Stirling Radioisotope Generator for use in space exploration. It is designed to generate electricity for deep space probes on missions lasting decades. The engine uses a single displacer to reduce moving parts and uses high energy acoustics to transfer energy. The heat source is a dry solid nuclear fuel slug and the heat sink is space itself.

    Automotive engines

    It is often claimed that the Stirling engine has too low a power/weight ratio and too long a starting time for automotive applications. They also have complex and expensive heat-exchangers that must be made of stainless steel, and do not scale-up well to 100 kW output power. There have been at least two automobiles exclusively powered by Stirling engines that were developed by NASA, as well as earlier projects by the Ford Motor Company and the American Motor Company.

    The main difficulties involved in using the Stirling engine in an automotive application are start-up time, acceleration response, shut-down time, and weight, not all of which have ready-made solutions. Many people believe that hybrid electric drive systems can bypass all of these setbacks. In November 2007, a prototype hybrid car using solid biofuel and a Stirling engine was announced by the Precer project in Sweden. www.precer.se (in Swedish, with an English specification sheet under the PDF link).

    The NASA vehicles were designed by contractors and designated MOD I and MOD II. The MOD II replaced the normal spark-ignition engine in a 1985 4-door Chevrolet Celebrity hatchback. In the 1986 MOD II Design Report (Appendix A) the results show that the highway gas mileage was increased from 40 to 58 mpg and the urban mileage from 26 to 33 mpg with no change in gross weight of the vehicle.

    Start-up time in the NASA vehicle maxed out at 30 seconds, while Ford's research vehicle used an electric heater placed directly into the hot air mix to get the vehicle started in only a few seconds.

    Aircraft engines

    Stirling engines hold theoretical promise as aircraft engines. They are quieter, less polluting, gain efficiency with altitude, are more reliable due to fewer parts and the absence of an ignition system, produce much less vibration (airframes last longer) and safer, less explosive fuels may be used. (see below "Argument on why the Stirling engine can be applied in aviation" or "Why Aviation Needs the Stirling Engine" by Darryl Phillips, a 4-part series in the March 1993 to March 1994 issues of Stirling Machine World)

    Low temperature difference engines

    A low temperature difference Stirling Engine by American Stirling Company shown here running on the heat from a warm hand
    A low temperature difference Stirling Engine by American Stirling Company shown here running on the heat from a warm hand

    A low temperature difference (Low Delta T, or LTD) Stirling engine will run on any low temperature differential, for example the difference between the palm of a hand and room-temperature or room temperature and an ice cube. Usually they are designed in a gamma configuration, for simplicity, and without a regenerator. They are typically unpressurized, running at near-atmospheric pressure. The power produced is less than one watt, and they are intended for demonstration purposes only. They are sold as toys and educational models.

    References

    1. ^ "The Philips Stirling Engine", CM Hargreaves, Chapter 2 section 4 pp63
    2. ^ Palm Top Stirling Engine Quote: "...This engine is running on PALMTOP! by using heat of Palm. Then temperature difference of it is 7K..."
    3. ^ Pasco model SE-8575: The visible Stirling engine (pdf)
    4. ^ Working cardboard model of a stirling engine (German website translated with translate.google.com)
    5. ^ Animation: keveney.com: Two Cylinder Stirling Engine
    6. ^ Animation: keveney.com: Single Cylinder Stirling Engine
    7. ^ Rotary Stirling Engines This site is intended to assist and support all enthusiasts who work to advance the cause of the Stirling Cycle engine. Accessed October 2006
    8. ^ Rotary piston array machine Concept from Gangolf Jobb . Accessed August 2007
    9. ^ Los Alamos National Laboratory: Acoustic Stirling Heat Engine Home Quote: "...More Efficient than Other No-Moving-Parts Heat Engines..."
    10. ^ Kockums' pages on Stirling engines
    11. ^ David Haywood: An introduction to Stirling-cycle machines (pdf)
    12. ^ Israel Urieli (Dr. Iz), Associate Professor Mechanical Engineering: Stirling Cycle Machine Analysis
    13. ^ 31 October, 2003, BBC News: Power from the people Quote: "...The boiler is based on the Stirling engine, dreamed up by the Scottish inventor Robert Stirling in 1816....The technical name given to this particular use is Micro Combined Heat and Power or Micro CHP..."
    14. ^ osti.gov: High-power baseline and motoring test results for the GPU-3 Stirling engine
    15. ^ PureEnergySystems.com: World's largest solar installation to use Stirling engine technology
    16. ^ stirlingenergy.com
    17. ^ Stirling Cryogenics & Refrigeration BV
    18. ^ kockums.se

    Academic references and non-commercial research

    Academic computer tools

    Further reading

    • P. H. Ceperley (1979). "A pistonless Stirling engine — The traveling wave heat engine". J. Acoust. Soc. Am. 66: 1508–1513.

    External links

    Stirling Cycle

    Most thermodynamic textbooks use a highly-simplified form of a Stirling cycle consisting of 4-processes. This is known as an "ideal Stirling cycle", because it is an "idealized" model, and not necessarily an optimized cycle. Theoretically, the "ideal cycle" does have high efficiency, and high work per cycle. However, it is rarely used in practice, generally because it is mechanically simpler and more convenient to use sinusoidal piston motions. This motion results both from the piston-crank in a "kinematic" design, and also the simple harmonic motion of a free piston engine. The result is sinusoidal volume variations, since most pistons will have a constant cross-sectional area. Many kinematic linkages, such as the well known "Ross yoke", will exhibit near-sinusoidal motion. However, other linkages, such as the "rhombic drive", will exhibit more non-sinusoidal motion. To a lesser extent, the ideal cycle introduces complications, since to implement the cycle in a real engine would require somewhat higher accelerations of the pistons and higher viscous pumping-losses of the working fluid, although the material stresses and pumping-losses in an optimized engine, would only be intolerable when approaching the "ideal cycle" and/or at high cycle rates. Other issues include the time required for heat transfer, particularly for the isothermal processes. In an engine with a cycle approaching the "ideal cycle", the cycle rate might have to be slowed down to address these issues.

    Contents

    Pressure-Volume Variation

    The quasi-elliptical shaped cycle shown in Figure 1, is more realistic representation of a typical Stirling engine that has sinusoidal volume variations. The four points in the graph, label the crank-angle in degrees. [1]


    Figure 1: Pressure vs Volume plot, with four points labeled in crank-angle degrees

    Particle/Mass Motion

    Figure 2, shows the streaklines which indicate how gas flows through a real Stirling engine. The vertical colored lines, delineate the volume spaces of the engine. From left-to-right they are: the space swept by the expansion (power) piston, the clearance space (which prevents the piston from contacting the hot heat-exchanger), the heater, the regenerator, the cooler, the cooler clearance space, and the compression space swept by the compression piston.

    Figure 2: Particle mass plot

    Heat-Exchanger Pressure-Drop

    Also referred to as "pumping losses", the pressure drops shown in Figure 3, are caused by viscous flow through the heat exchangers. The red line represents the heater, green is the regenerator, and blue is the cooler. To properly design the heat exchangers, multivariate optimization is required to obtain sufficient heat transfer with acceptable flow losses. The flow losses shown here are relatively low, and they are barely visible in the following image, which will show the overall pressure variations in the cycle.

    Figure 3: Heat-exchanger pressure-drop

    Pressure vs Crank-Angle

    Figure 4 shows results from an "adiabatic simulation" with non-ideal heat exchangers. Note that the pressure-drop across the regenerator is very low compared to the overall pressure variation in the cycle.

    Figure 4: Pressure vs crank-angle plot

    Temperature vs Crank-Angle

    Figure 5 illustrates the adiabatic properties of a real heat exchanger. The straight lines are the heat exchanger temperatures, and the curves are the gas temperatures of the respective spaces. The gas temperature fluctuations are caused by the effects of compression and expansion in the engine, together with non-ideal heat exchangers which have a limited rate of heat transfer. When the gas temperature deviates above and below the heat exchanger temperature, it causes thermodynamic losses known as "heat transfer losses" or "hysteresis losses". However, the heat exchangers still work well enough to allow the real cycle to effective, even if the actual thermal efficiency is typically only half of the theoretical limit.

    Figure 5: Temperature vs crank-angle plot

    Cumulative Heat and Work Energy

    Consider the alpha-type Stirling engine data graphed in figure 6. The blue dotted-line shows the work output of the compression space. The trace dips down, and work is done on the gas as it is compressed. During the expansion process of the cycle, some work is actually done on the compression piston, as reflected by the upward movement of the trace. At the end of the cycle, this value is negative, indicating that compression requires a net input of work. The blue solid line shows the heat flowing out of the cooler heat-exchanger. Notice that the heat from the cooler, and the work from the compression piston both have the same cycle energy! This is consistent with the zero net heat transfer of the regenerator (solid green line). As would be expected, the heater and the expansion space both have positive energy flow. The black dotted-line shows the net work output of the cycle. This trace ends the cycle higher that it started, indicating that the heat engine converts energy from heat into work.


    Figure 6: Heat and work energy vs crank angle


    References


    This article is licensed under the GNU Free Documentation License. It uses material from Wikipedia Encyclopedia article "Stirling Engine"

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