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{{Image|ExpansionTurbine.png|right|272px|Figure 1: Schematic diagram of an expansion turbine driving a compressor.}}  
{{Image|ExpansionTurbine.png|right|272px|Figure 1: Schematic diagram of an expansion turbine driving a compressor.}}  


An '''expansion turbine''', also referred to as a '''turboexpander''' or '''turbo-expander''', is a centrifugal or axial flow [[turbine]] through which a high [[pressure]] [[gas]] is expanded to produce work that is often used to drive a [[Gas compressor|compressor]].<ref>{{cite book|author=Heinz Bloch and Claire Soares|title=Turboexpanders and Process Applications|edition=|publisher=Gulf Professional Publishing|year=2001|id=ISBN 0-88415-509-9}}</ref><ref name=Kerry>{{cite book|author=Frank G. Kerry|title=Industrial Gas Handbook:Gas Separation and Purification|edition=|publisher=CRC Press|year=2007|id=ISBN 0-8493-9005-2}}</ref><ref name=Flynn>{{cite book|author=Thomas Flynn|title=Cryogenics Engineering|edition=Second Edition|publisher=CRC Press|year=2004|id=ISBN 0-8247-5367-4}}</ref>
An '''expansion turbine''' is a centrifugal or axial flow [[turbine]] through which a high [[pressure]] [[gas]] is expanded to produce work that is often used to drive a [[Gas compressor|compressor]].<ref>{{cite book|author=Heinz Bloch and Claire Soares|title=Turboexpanders and Process Applications|edition=|publisher=Gulf Professional Publishing|year=2001|id=ISBN 0-88415-509-9}}</ref><ref name=Kerry>{{cite book|author=Frank G. Kerry|title=Industrial Gas Handbook:Gas Separation and Purification|edition=|publisher=CRC Press|year=2007|id=ISBN 0-8493-9005-2}}</ref><ref name=Flynn>{{cite book|author=Thomas Flynn|title=Cryogenics Engineering|edition=Second Edition|publisher=CRC Press|year=2004|id=ISBN 0-8247-5367-4}}</ref> It also referred to as a ''turboexpander'' or ''turbo-expander''.


Because work is extracted from the expanding high pressure gas, the expansion is an [[isentropic]] process (i.e., a constant [[entropy]] process) and the low pressure exhaust gas from the turbine is at a very low [[temperature]], sometimes as low as −90 °C or less.
Because work is extracted from the expanding high pressure gas, the expansion is an [[isentropic process]] (i.e., a constant [[entropy (thermodynamics)|entropy]] process) and the low pressure exhaust gas from the turbine is at a very low [[temperature]], sometimes as low as −90 °C or less.


Expansion turbines are very widely used as sources of [[refrigeration]] in industrial processes such as the extraction of [[ethane]] and [[Natural gas processing|natural gas liquids]] (NGLs) from [[natural gas]],<ref>[http://freepatentsonline.com/US6915662.html Demethanzer]</ref> the liquefaction of [[gases]] (such as [[oxygen]], [[nitrogen]], [[helium]], [[argon]] and [[krypton]])<ref>[http://www.nzic.org.nz/ChemProcesses/production/1K.pdf BOC (NZ) publication]: use search function for keyword "expansion"</ref><ref>[http://www.hydrogen.energy.gov/pdfs/progress05/v_e_1_shimko.pdf US Department of Energy Hydrogen Program]</ref> and other low-temperature processes.
Expansion turbines are very widely used as sources of [[refrigeration]] in industrial processes such as the extraction of [[ethane]] and [[Natural gas processing|natural gas liquids]] (NGLs) from [[natural gas]],<ref>[http://freepatentsonline.com/US6915662.html Demethanizer]</ref> the liquefaction of [[gases]] (such as [[oxygen]], [[nitrogen]], [[helium]], [[argon]] and [[krypton]])<ref>[http://www.nzic.org.nz/ChemProcesses/production/1K.pdf BOC (NZ) publication]: use search function for keyword "expansion"</ref><ref>[http://www.hydrogen.energy.gov/pdfs/progress05/v_e_1_shimko.pdf US Department of Energy Hydrogen Program]</ref> and other low-temperature processes.


Expansion turbines currently in operation range in size from about 750 [[Watt (unit)|W]] to about 7.5 MW (1 [[U.S. customary units|hp]] to about 10,000 hp).
Expansion turbines currently in operation range in size from about 750 [[Watt (unit)|W]] to about 7.5 MW (1 [[U.S. customary units|hp]] to about 10,000 hp).
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{{Image|Demethanizer.PNG|right|340px|Figure 2: A schematic diagram of a demethanizer extracting hydrocarbon liquids from natural gas.}}
{{Image|Demethanizer.PNG|right|340px|Figure 2: A schematic diagram of a demethanizer extracting hydrocarbon liquids from natural gas.}}
   
   
Raw natural gas consists primarily of methane (CH<sub>4</sub>), the shortest and lightest [[hydrocarbon]] molecule, as well as various amounts of heavier hydrocarbon gases such as [[ethane]] (C<sub>2</sub>H<sub>6</sub>), [[propane]] (C<sub>3</sub>H<sub>8</sub>), [[Butane|normal butane]] (n-C<sub>4</sub>H<sub>10</sub>), [[isobutane]] (i-C<sub>4</sub>H<sub>10</sub>), [[pentane]]s and even higher [[molecular weight]] hydrocarbons. The raw gas also contains various amounts of [[acid gas]]es such as [[carbon dioxide]] (CO<sub>2</sub>), [[hydrogen sulfide]] (H<sub>2</sub>S) and [[mercaptan]]s such as [[methanethiol]] (CH<sub>3</sub>SH) and [[ethanethiol]] (C<sub>2</sub>H<sub>5</sub>SH).
Raw natural gas consists primarily of methane (CH<sub>4</sub>), the shortest and lightest [[hydrocarbon]] molecule, as well as various amounts of heavier hydrocarbon gases such as [[ethane]] (C<sub>2</sub>H<sub>6</sub>), [[propane]] (C<sub>3</sub>H<sub>8</sub>), [[Butane|normal butane]] (n-C<sub>4</sub>H<sub>10</sub>), [[isobutane]] (i-C<sub>4</sub>H<sub>10</sub>), [[pentane]]s and even higher [[molecular weight]] hydrocarbons. The raw gas also contains various amounts of [[acid gas]]es such as [[carbon dioxide]] (CO<sub>2</sub>), [[hydrogen sulphide]] (H<sub>2</sub>S) and [[mercaptan]]s such as [[methanethiol]] (CH<sub>3</sub>SH) and [[ethanethiol]] (C<sub>2</sub>H<sub>5</sub>SH).


When processed into finished by-products (see [[Natural gas processing]]), these heavier hydrocarbons are collectively referred to as NGL (natural gas liquids). The extraction of the NGL often involves an expansion turbine<ref>''Gas Processes 2002'', Hydrocarbon Processing, pages 83-84, May 2002 (schematic flow diagrams and descriptions of the NGL-Pro and NGL Recovery processes)</ref> and a low-temperature [[Continuous distillation|distillation]] column (called a ''demethanizer'') as shown in Figure 2. The inlet gas to the demethanizer is first cooled to about −51 °C in a [[heat exchanger]] (referred to as a ''cold box'') which partially [[condensation|condenses]] the inlet gas. The resultant gas-liquid mixture is then separated into a gas stream and a liquid stream.  
When processed into finished by-products (see [[Natural gas processing]]), these heavier hydrocarbons are collectively referred to as NGL (natural gas liquids). The extraction of the NGL often involves an expansion turbine<ref>''Gas Processes 2002'', Hydrocarbon Processing, pages 83-84, May 2002 (schematic flow diagrams and descriptions of the NGL-Pro and NGL Recovery processes)</ref> and a low-temperature [[Continuous distillation|distillation]] column (called a ''demethanizer'') as shown in Figure 2. The inlet gas to the demethanizer is first cooled to about −51 °C in a [[heat exchanger]] (referred to as a ''cold box'') which partially [[Condensation (phase transition)|condenses]] the inlet gas. The resultant gas-liquid mixture is then separated into a gas stream and a liquid stream.  


The liquid stream from the [[gas-liquid separator]] flows through a valve and undergoes a [[Flash_evaporation#Flash_evaporation of a single-component liquid|''throttling expansion'']] from an absolute  pressure of 62 bar to 21 bar (6.2 to 2.1 MPa) , which is an [[enthalpic]] process (i.e., a constant enthalpy process) that results in lowering the temperature of the stream from about −51 °C to about −81 °C as the stream enters the demethanizer.
The liquid stream from the [[gas-liquid separator]] flows through a valve and undergoes a [[Flash_evaporation#Flash_evaporation of a single-component liquid|''throttling expansion'']] from an absolute  pressure of 62 bar to 21 bar (6.2 to 2.1 MPa) , which is an [[enthalpic]] process (i.e., a constant enthalpy process) that results in lowering the temperature of the stream from about −51 °C to about −81 °C as the stream enters the demethanizer.
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Referring to Figure 3, the circulating working fluid (usually an [[Organic chemistry|organic compound]] such as R-134a) is pumped to a high pressure and then vaporized in the evaporator by [[Heat exchanger|heat exchange]] with the available heat source. The resulting high-pressure vapor flows to the expansion turbine where it undergoes an isentropic expansion and exits as a vapor-liquid mixture which is then condensed into a liquid by heat exchange with the available cooling medium. The condensed liquid is pumped back to the evaporator to complete the cycle.
Referring to Figure 3, the circulating working fluid (usually an [[Organic chemistry|organic compound]] such as R-134a) is pumped to a high pressure and then vaporized in the evaporator by [[Heat exchanger|heat exchange]] with the available heat source. The resulting high-pressure vapor flows to the expansion turbine where it undergoes an isentropic expansion and exits as a vapor-liquid mixture which is then condensed into a liquid by heat exchange with the available cooling medium. The condensed liquid is pumped back to the evaporator to complete the cycle.


The system in Figure 3 is a [[Rankine cycle]] as is used in [[fossil fuel power plant]]s where water is the working fluid and the heat source is derived from the [[combustion]] of natural gas, [[fuel oil]] or [[coal]] used to generate high-pressure steam. The high-pressure steam then undergoes an isentropic expansion in a conventional [[steam turbine]]. The steam turbine exhaust steam is next condensed into liquid water which is then pumped back to steam generator to complete the cycle.
The system in Figure 3 is a [[Rankine cycle]] as is used in [[fossil fuel power plant]]s where water is the working fluid and the heat source is derived from the [[combustion]] of natural gas, [[fuel oil]] or [[coal]] used to generate high-pressure steam. The high-pressure steam then undergoes an isentropic expansion in a conventional [[steam turbine]]. The steam turbine exhaust steam is next condensed into liquid water which is then pumped back to the [[steam generator]] to complete the cycle.


When an organic working fluid such as R-134a is used in the Rankine cycle, the cycle is sometimes referred to as an Organic Rankine Cycle (ORC). <ref>[http://www.akenergyauthority.org/PDF%20files/ArchiveConferenceMaterial/ORC_Waste_Heat-Holdmann.pdf ORC Technology for Waste Heat Applications]]</ref><ref>[http://www.csiro.au/science/ps4q.html The Integrated Rankine Cycle Project]</ref><ref>[http://www.geothermie.de/gte/gte36-37/altheim_gaia.htm The Rankine Cycle Turbogenerator at Altheim, Austria]</ref>
When an organic working fluid such as R-134a is used in the Rankine cycle, the cycle is sometimes referred to as an Organic Rankine Cycle (ORC). <ref>[http://www.akenergyauthority.org/PDF%20files/ArchiveConferenceMaterial/ORC_Waste_Heat-Holdmann.pdf ORC Technology for Waste Heat Applications]]</ref><ref>[http://www.csiro.au/science/ps4q.html The Integrated Rankine Cycle Project]</ref><ref>[http://www.geothermie.de/gte/gte36-37/altheim_gaia.htm The Rankine Cycle Turbogenerator at Altheim, Austria]</ref>
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*1,1,1,2 Tetrafluoroethane (C<sub>2</sub>H<sub>2</sub>F<sub>4</sub>) known as R-134a, with a normal boiling point of –26 °C
*1,1,1,2 Tetrafluoroethane (C<sub>2</sub>H<sub>2</sub>F<sub>4</sub>) known as R-134a, with a normal boiling point of –26 °C


As shown in Figure 4, refrigerant vapor is compressed to a higher pressure resulting in a higher temperature as well. The hot, compressed vapor is then [[condensation|condensed]] into a liquid. The [[condenser]] is where heat is expelled from the circulating refrigerant and is carried away by whatever cooling medium is used in the condenser (air, water, etc.).
As shown in Figure 4, refrigerant vapor is compressed to a higher pressure resulting in a higher temperature as well. The hot, compressed vapor is then condensed into a liquid. The [[Condenser (heat transfer)|condenser]] is where heat is expelled from the circulating refrigerant and is carried away by whatever cooling medium is used in the condenser (air, water, etc.).


The refrigerant liquid flows through the expansion turbine where it  is vaporized and the vapor undergoes an isentropic expansion which results in a low-temperature mixture of vapor and liquid. The vapor-liquid mixture is then routed through the evaporator where it is vaporized by heat absorbed from the space being cooled. The vaporized refrigerant flows to the compressor inlet to complete the cycle.
The refrigerant liquid flows through the expansion turbine where it  is vaporized and the vapor undergoes an isentropic expansion which results in a low-temperature mixture of vapor and liquid. The vapor-liquid mixture is then routed through the evaporator where it is vaporized by heat absorbed from the space being cooled. The vaporized refrigerant flows to the compressor inlet to complete the cycle.

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(PD) Image: MiltonBeychok
Figure 1: Schematic diagram of an expansion turbine driving a compressor.

An expansion turbine is a centrifugal or axial flow turbine through which a high pressure gas is expanded to produce work that is often used to drive a compressor.[1][2][3] It also referred to as a turboexpander or turbo-expander.

Because work is extracted from the expanding high pressure gas, the expansion is an isentropic process (i.e., a constant entropy process) and the low pressure exhaust gas from the turbine is at a very low temperature, sometimes as low as −90 °C or less.

Expansion turbines are very widely used as sources of refrigeration in industrial processes such as the extraction of ethane and natural gas liquids (NGLs) from natural gas,[4] the liquefaction of gases (such as oxygen, nitrogen, helium, argon and krypton)[5][6] and other low-temperature processes.

Expansion turbines currently in operation range in size from about 750 W to about 7.5 MW (1 hp to about 10,000 hp).

Applications

Although expansion turbines are very commonly used in low-temperature processes, they are used in many other applications as well. This section discusses one of the low temperature processes as well as some of the other applications.

Extracting hydrocarbon liquids from natural gas

© Image: John D. Wilkinson et al, U.S. Patent 6915662
Figure 2: A schematic diagram of a demethanizer extracting hydrocarbon liquids from natural gas.

Raw natural gas consists primarily of methane (CH4), the shortest and lightest hydrocarbon molecule, as well as various amounts of heavier hydrocarbon gases such as ethane (C2H6), propane (C3H8), normal butane (n-C4H10), isobutane (i-C4H10), pentanes and even higher molecular weight hydrocarbons. The raw gas also contains various amounts of acid gases such as carbon dioxide (CO2), hydrogen sulphide (H2S) and mercaptans such as methanethiol (CH3SH) and ethanethiol (C2H5SH).

When processed into finished by-products (see Natural gas processing), these heavier hydrocarbons are collectively referred to as NGL (natural gas liquids). The extraction of the NGL often involves an expansion turbine[7] and a low-temperature distillation column (called a demethanizer) as shown in Figure 2. The inlet gas to the demethanizer is first cooled to about −51 °C in a heat exchanger (referred to as a cold box) which partially condenses the inlet gas. The resultant gas-liquid mixture is then separated into a gas stream and a liquid stream.

The liquid stream from the gas-liquid separator flows through a valve and undergoes a throttling expansion from an absolute pressure of 62 bar to 21 bar (6.2 to 2.1 MPa) , which is an enthalpic process (i.e., a constant enthalpy process) that results in lowering the temperature of the stream from about −51 °C to about −81 °C as the stream enters the demethanizer.

The gas stream from the gas-liquid separator enters the expansion turbine where it undergoes an isentropic expansion from an absolute pressure of 62 bar to 21 bar (6.2 to 2.1 MPa) that lowers the gas stream temperature from about −51 °C to about −91 °C as it enters the demethanizer to serve as distillation reflux.

Liquid from the top tray of the demethanizer (at about −90 °C) is routed through the cold box where it is warmed to about 0 °C as it cools the inlet gas, and is then returned to the lower section of the demethanizer. Another liquid stream from the lower section of the demethanizer (at about 2 °C) is routed through the cold box and returned to the demethanizer at about 12 °C. In effect, the inlet gas provides the heat required to "reboil" the bottom of the demethanizer and the expansion turbine removes the heat required to provide reflux in the top of the demethanizer.

The overhead gas product from the demethanizer at about −90 °C is processed natural gas that is of suitable quality for distribution to end-use consumers by pipeline. It is routed through the cold box where it is warmed as it cools the inlet gas. It is then compressed in the gas compressor which is driven by the expansion turbine and further compressed in a second-stage gas compressor driven by an electrical motor before entering the distribution pipeline.

The bottom product from the demethanizer is also warmed in the cold box, as it cools the inlet gas, before it leaves the system as NGL.

Power generation

(PD) Image: Milton Beychok
Figure 3: Schematic diagram of power generation system using an expansion turbine.

Figure 3 depicts a electric power generation system that uses a heat source, a cooling medium (air, water or other), a circulating working fluid and an expansion turbine. The system can accommodate a wide variety of heat sources such as:

  • Geothermal hot water
  • Exhaust gas from internal combustion engines burning a variety of fuels (natural gas, landfill gas, diesel oil, or fuel oil)
  • A variety of waste heat sources (in the form of either gas or liquid)

Referring to Figure 3, the circulating working fluid (usually an organic compound such as R-134a) is pumped to a high pressure and then vaporized in the evaporator by heat exchange with the available heat source. The resulting high-pressure vapor flows to the expansion turbine where it undergoes an isentropic expansion and exits as a vapor-liquid mixture which is then condensed into a liquid by heat exchange with the available cooling medium. The condensed liquid is pumped back to the evaporator to complete the cycle.

The system in Figure 3 is a Rankine cycle as is used in fossil fuel power plants where water is the working fluid and the heat source is derived from the combustion of natural gas, fuel oil or coal used to generate high-pressure steam. The high-pressure steam then undergoes an isentropic expansion in a conventional steam turbine. The steam turbine exhaust steam is next condensed into liquid water which is then pumped back to the steam generator to complete the cycle.

When an organic working fluid such as R-134a is used in the Rankine cycle, the cycle is sometimes referred to as an Organic Rankine Cycle (ORC). [8][9][10]

Refrigeration system

© Image: Joost J. Brasz, European patent EP0676600
Figure 4: Schematic diagram of a refrigeration system using an expansion turbine, a compressor and a motor.

Figure 4 depicts a refrigeration system with a capacity of about 100 to 1000 tons of refrigeration (i.e., 352 to 3,520 kW). The system utilizes a compressor, an expansion turbine and an electric motor.

Depending on the operating conditions, the expansion turbine reduces the load on the electric motor by some 6 to 15% as compared to a conventional vapor-compression refrigeration system that uses a throttling expansion valve rather than an expansion turbine.[11]

The system employs a high-pressure refrigerant (i.e., one with a low normal boiling point) such as:[11]

  • Chlorodifluoromethane (CHClF2) known as R-22, with a normal boiling point of –47 °C
  • 1,1,1,2 Tetrafluoroethane (C2H2F4) known as R-134a, with a normal boiling point of –26 °C

As shown in Figure 4, refrigerant vapor is compressed to a higher pressure resulting in a higher temperature as well. The hot, compressed vapor is then condensed into a liquid. The condenser is where heat is expelled from the circulating refrigerant and is carried away by whatever cooling medium is used in the condenser (air, water, etc.).

The refrigerant liquid flows through the expansion turbine where it is vaporized and the vapor undergoes an isentropic expansion which results in a low-temperature mixture of vapor and liquid. The vapor-liquid mixture is then routed through the evaporator where it is vaporized by heat absorbed from the space being cooled. The vaporized refrigerant flows to the compressor inlet to complete the cycle.

As shown in Figure 4, refrigerant vapor is compressed to a higher pressure resulting in a higher temperature as well. The hot, compressed vapor is then condensed into a liquid. The condenser is where heat is expelled from the circulating refrigerant and is carried away by whatever cooling medium is used in the condenser (air, water, etc.).

Power recovery in fluid catalytic cracker

(PD) Image: Milton Beychok
Figure 5: A schematic diagram of the power recovery system in a fluid catalytic cracking unit.

The combustion flue gas from the catalyst regenerator of a fluid catalytic cracker is at a temperature of about 715 °C and at a pressure of about 2.4 barg (240 kPa gauge). Its gaseous components are mostly carbon monoxide (CO), carbon dioxide (CO2) and nitrogen (N2). Although the flue gas has been through two stages of cyclones (located within the regenerator) to remove entrained catalyst fines, it still contains some residual catalyst fines.

Figure 5 depicts how power is recovered and utilized by routing the regenerator flue gas through an expansion turbine. After the flue gas exits the regenerator, it is routed through a secondary catalyst separator containing swirl tubes designed to remove 70 to 90 percent of the residual catalyst fines.[12] This is required to prevent erosion damage to the expansion turbine.

As shown in Figure 5, expansion of the flue gas through an expansion turbine provides sufficient power to drive the regenerator's combustion air compressor. The electrical motor-generator in the power recovery system can consume or produce electrical power. If the expansion of the flue gas does not provide enough power to drive the air compressor, the electric motor-generator provides the needed additional power. If the flue gas expansion provides more power than needed to drive the air compressor, than the electric motor-generator converts the excess power into electric power and exports it to the refinery's electrical system.[13] The steam turbine shown in Figure 5 is used to drive the regenerator's combustion air compressor during start-ups of the fluid catalytic cracker until there is sufficient combustion flue gas to take over that task.

The expanded flue gas is then routed through a steam-generating boiler (referred to as a CO boiler) where the carbon monoxide in the flue gas is burned as fuel to provide steam for use in the refinery.[13]

The flue gas from the CO boiler is processed through an electrostatic precipitator (ESP) to remove residual particulate matter. The ESP removes particulates in the size range of 2 to 20 microns (i.e., micrometres) from the flue gas.[13]

History

The possible use of an expansion machine for isentropically creating low temperatures was suggested by Carl Wilhelm Siemens, a German engineer in 1857. About three decades later, in 1885, Ernest Solvay of Belgium attempted to use a reciprocating expander machine but could not attain any temperatures lower than –98 °C because of problems with lubrication of the machine at such temperatures.[2]

In 1902, Georges Claude, a French engineer, successfully used a reciprocating expansion machine to liquefy air. He used a degreased, burnt leather packing as a piston seal without any lubrication. With an air pressure of only 40 bar (4 Mpa), Claude achieved an almost isentropic expansion resulting in a lower temperature than had before been possible.[2]

The first expansion turbines seem to have been designed in about 1934 or 1935 by Guido Zerkowitz, an Italian engineer working for the German firm of Linde AG.[14][15]

In 1939, the Russian physicist Pyotr Kapitsa perfected the design of centrifugal expansion turbines. His first practical prototype was made of Monel metal, had an outside diameter of only 8 cm (3.15 inches), operated at 40,000 revolutions per minute and expanded 1,000 cubic metres of air per hour. It used a water pump as a brake and had an efficiency of 79 to 83 percent.[2][15] Most expansion turbines in industrial use since then have been based on Kapitsa's design and centrifugal expansion turbines have taken over almost 100 percent of the industrial gas liquefaction and low temperature process requirements.[2][15]

In 1978, Pyotr Kapitsa was awarded a Nobel physics prize for his body of work in the area of low-temperature physics.[16]

References

  1. Heinz Bloch and Claire Soares (2001). Turboexpanders and Process Applications. Gulf Professional Publishing. ISBN 0-88415-509-9. 
  2. 2.0 2.1 2.2 2.3 2.4 Frank G. Kerry (2007). Industrial Gas Handbook:Gas Separation and Purification. CRC Press. ISBN 0-8493-9005-2. 
  3. Thomas Flynn (2004). Cryogenics Engineering, Second Edition. CRC Press. ISBN 0-8247-5367-4. 
  4. Demethanizer
  5. BOC (NZ) publication: use search function for keyword "expansion"
  6. US Department of Energy Hydrogen Program
  7. Gas Processes 2002, Hydrocarbon Processing, pages 83-84, May 2002 (schematic flow diagrams and descriptions of the NGL-Pro and NGL Recovery processes)
  8. ORC Technology for Waste Heat Applications]
  9. The Integrated Rankine Cycle Project
  10. The Rankine Cycle Turbogenerator at Altheim, Austria
  11. 11.0 11.1 Refrigeration apparatus with expansion turbine, European patent EP 0 676 600 B1, September 6, 2000, Joost J. Brasz, Carrier Corporation EP 0 676 600 B1 (this website requires registration)
  12. Alex C. Hoffnab and Lewis E. Stein (2002). Gas Cyclones and Swirl Tubes:Principles , Design and Operation, 1st Edition. Springer. ISBN 3-540-43326-0. 
  13. 13.0 13.1 13.2 Reza Sadeghbeigi (2000). Fluid Catalytic Cracking Handbook, 2nd Edition. Gulf Publishing. ISBN 0-88415-289-8. 
  14. Turbine for Low Temperature Gas Separation, U.S. Patent 2,165,994, July 1939 (Continuation of an application in March 1934), Guido Zerkowitz, Linde AG United States Patent US2165994 (this website requires registration)
  15. 15.0 15.1 15.2 Ebbe Almqvist (2002). History of Industrial Gases, First Edition. Springer, page 165. ISBN 0-306-47277-5. 
  16. Pyotr Kapitsa, The Nobel Prize in Physics 1978