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.
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.
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.
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 90 o behind the hot piston in its cycle, extracting still more work from the hot gas.
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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.
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Alpha type Stirling. Animated version.
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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.
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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.
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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.
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2. The heated gas increases its pressure and pushes the power piston along the cylinder. This is the power stroke.
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3. The displacer piston now moves to shunt the gas to the cold end of the cylinder.
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4. The cooled gas is now compressed by the flywheel momentum. This
takes less energy since when it cooled its pressure also dropped.
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Beta type Stirling. Animated version.
Note the Power piston lags the Displacer piston by 90 o. In this design the displacer piston shaft passes through the power piston in a gas proof sleeve.
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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.
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.
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:
-
.
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)
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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)
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2a. The gas is now fully transferred to the cool cylinder. (Point 2 on the graph)
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3. The working gas is cooled at constant volume to a lower temperature.
This decreases its pressure. (Points 2 to 3 on the graph)
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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
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4a. The gas is now fully transferred to the hot cylinder. (Point 4 on the graph)
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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.
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 (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
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.
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]

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.

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.

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.

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.

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.

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