Difference between revisions of "Equations of state"

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*[[Amagat equation of state | Amagat]]
 
*[[Amagat equation of state | Amagat]]
 
*[[Antoine equation of state | Antoine]]
 
*[[Antoine equation of state | Antoine]]
 +
*[[Baonza equation of state | Baonza]]
 +
*[[BACK equation of state | BACK]]
 
*[[Battelli equation of state |Battelli]]
 
*[[Battelli equation of state |Battelli]]
 
*[[Beattie-Bridgeman equation of state | Beattie-Bridgeman]]
 
*[[Beattie-Bridgeman equation of state | Beattie-Bridgeman]]
 
*[[Benedict, Webb and Rubin equation of state |Benedict, Webb and Rubin ]]
 
*[[Benedict, Webb and Rubin equation of state |Benedict, Webb and Rubin ]]
 
*[[Berthelot equation of state | Berthelot]]
 
*[[Berthelot equation of state | Berthelot]]
 +
*[[Birch-Murnaghan equation of state |Birch-Murnaghan]]
 
*[[Boltzmann equation of state | Boltzmann]]
 
*[[Boltzmann equation of state | Boltzmann]]
 
*[[Boynton and Bramley equation of state | Boynton and Bramley]]
 
*[[Boynton and Bramley equation of state | Boynton and Bramley]]
 
*[[Brillouin equation of state | Brillouin]]
 
*[[Brillouin equation of state | Brillouin]]
 
*[[Clausius equation of state | Clausius]]
 
*[[Clausius equation of state | Clausius]]
 +
*[[Cole equation of state | Cole]]
 +
*[[BACK equation of state | DIBACK]]
 
*[[Dieterici equation of state | Dieterici]]
 
*[[Dieterici equation of state | Dieterici]]
 
*[[Dupré equation of state |Dupré]]
 
*[[Dupré equation of state |Dupré]]
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*[[Goebel equation of state | Goebel]]
 
*[[Goebel equation of state | Goebel]]
 
*[[Hirn equation of state |Hirn]]
 
*[[Hirn equation of state |Hirn]]
 +
*[[Holzapfel equation of state | Holzapfel]]
 
*[[Jäger equation of state | Jäger]]
 
*[[Jäger equation of state | Jäger]]
 
*[[Kam equation of state | Kam]]
 
*[[Kam equation of state | Kam]]
 +
*[[Kumari-Dass equation of state | Kumari-Dass]]
 
*[[Lagrange equation of state | Lagrange]]
 
*[[Lagrange equation of state | Lagrange]]
 
*[[Leduc equation of state | Leduc]]
 
*[[Leduc equation of state | Leduc]]
 
*[[Linear isothermal regularity]]
 
*[[Linear isothermal regularity]]
 
*[[Lorentz equation of state |Lorenz]]
 
*[[Lorentz equation of state |Lorenz]]
*[[Mie equation of state | Mie]]  
+
*[[Mie equation of state | Mie]]
 +
*[[BACK equation of state | MOBACK]]
 +
*[[Mohsen-Nia, Modarress and Mansoori equation of state |Mohsen-Nia, Modarress and Mansoori]]
 
*[[Murnaghan equation of state | Murnaghan]]
 
*[[Murnaghan equation of state | Murnaghan]]
 
*[[Natanson equation of state | Natanson]]
 
*[[Natanson equation of state | Natanson]]
 +
*[[BACK equation of state | NIK]]
 
*[[Onnes equation of state | Onnes]]
 
*[[Onnes equation of state | Onnes]]
 
*[[Peczalski equation of state |Peczalski]]
 
*[[Peczalski equation of state |Peczalski]]
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*[[Planck equation of state |Planck]]
 
*[[Planck equation of state |Planck]]
 
*[[Porter equation of state | Porter]]
 
*[[Porter equation of state | Porter]]
 +
*[[BACK equation of state | QUABACK]]
 
*[[Rankine equation of state |Rankine]]
 
*[[Rankine equation of state |Rankine]]
 
*[[Recknagel equation of state | Recknagel]]
 
*[[Recknagel equation of state | Recknagel]]
 
*[[Redlich-Kwong equation of state | Redlich-Kwong]]
 
*[[Redlich-Kwong equation of state | Redlich-Kwong]]
 
*[[Reinganum equation of state | Reinganum]]
 
*[[Reinganum equation of state | Reinganum]]
 +
*[[Rose-Vinet (Universal) equation of state | Rose-Vinet]]
 
*[[Sarrau equation of state | Sarrau]]
 
*[[Sarrau equation of state | Sarrau]]
 
*[[Schiller equation of state | Schiller]]
 
*[[Schiller equation of state | Schiller]]
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*[[Smoluchowski equation of state | Smoluchowski]]
 
*[[Smoluchowski equation of state | Smoluchowski]]
 
*[[Starkweather equation of state |Starkweather ]]
 
*[[Starkweather equation of state |Starkweather ]]
 +
*[[Stiffened equation of state | Stiffened]]
 
*[[Tait equation of state | Tait]]
 
*[[Tait equation of state | Tait]]
 
*[[Thiesen equation of state |Thiesen]]
 
*[[Thiesen equation of state |Thiesen]]
 +
*[[Tillotson equation of state | Tillotson]]
 
*[[Tumlirz equation of state | Tumlirz]]
 
*[[Tumlirz equation of state | Tumlirz]]
 +
*[[Twu-Sim-Tassone equation of state | Twu-Sim-Tassone]]
 
*[[van der Waals equation of state | van der Waals]]
 
*[[van der Waals equation of state | van der Waals]]
 
*[[Walter equation of state | Walter]]
 
*[[Walter equation of state | Walter]]
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*[[Phase diagrams of water | Water equation of state]]
 
*[[Phase diagrams of water | Water equation of state]]
 
}}
 
}}
 +
 
==Other methods==
 
==Other methods==
 
*[[ASOG (Analytical Solution of Groups)]]
 
*[[ASOG (Analytical Solution of Groups)]]
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*[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]]
 
*[[Fused hard sphere chains#Equation of state | Fused hard sphere chains]]
 
*[[Tetrahedral hard sphere model#Equation of state|Tetrahedral hard sphere model]]
 
*[[Tetrahedral hard sphere model#Equation of state|Tetrahedral hard sphere model]]
 +
==See also==
 +
*[[Pair stress approximation]]
 +
*[[Scaled-particle theory]]
 
==Interesting reading==
 
==Interesting reading==
 
*[http://dx.doi.org/10.1088/0034-4885/7/1/312 James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics '''7''' pp. 195-229 (1940)]
 
*[http://dx.doi.org/10.1088/0034-4885/7/1/312 James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics '''7''' pp. 195-229 (1940)]

Latest revision as of 13:11, 19 May 2017

Equations of state are generally expressions that relate the macroscopic observables, or state variables, such as pressure, p, volume, V, and temperature, T.

General[edit]

Virial equations of state[edit]

Semi-empirical equations of state[edit]

Naturally there is the ideal gas equation of state. However, one of the first steps towards a description of realistic substances was the famous van der Waals equation of state. Since then a plethora of semi-empirical equations have been developed, often in a similar vein to the van der Waals equation of state, each trying to better reproduce the foibles of the many gasses and/or liquids that are often of industrial interest.


Other methods[edit]

Model systems[edit]

Equations of state for idealised models:

See also[edit]

Interesting reading[edit]

Books

  • "Equations of State for Fluids and Fluid Mixtures", Eds. J. V. Sengers, R. F. Kayser, C. J. Peters, and H. J. White Jr., Elsevier (2000) ISBN 0-444-50384-6