# Difference between revisions of "Equations of state"

Carl McBride (talk | contribs) m (Started a sub-introduction) |
Carl McBride (talk | contribs) m (→Semi-empirical equations of state: Added internal links) |
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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]] | ||

Line 32: | Line 37: | ||

*[[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]] | ||

Line 46: | Line 56: | ||

*[[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]] | ||

Line 55: | Line 67: | ||

*[[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]] | ||

Line 63: | Line 78: | ||

*[[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)]] | ||

Line 83: | Line 99: | ||

*[[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, , volume, , and temperature, .

## Contents

## General[edit]

- Common bulk modulus point
- Law of corresponding states
- Linear isothermal regularity
- Maxwell's equal area construction
- Tait-Murnaghan relation
- Zeno line

## 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.

- Amagat
- Antoine
- Baonza
- BACK
- Battelli
- Beattie-Bridgeman
- Benedict, Webb and Rubin
- Berthelot
- Birch-Murnaghan
- Boltzmann
- Boynton and Bramley
- Brillouin
- Clausius
- Cole
- DIBACK
- Dieterici
- Dupré
- Elliott, Suresh, and Donohue
- Fouché
- Goebel
- Hirn
- Holzapfel
- Jäger
- Kam
- Kumari-Dass
- Lagrange
- Leduc
- Linear isothermal regularity
- Lorenz
- Mie
- MOBACK
- Mohsen-Nia, Modarress and Mansoori
- Murnaghan
- Natanson
- NIK
- Onnes
- Peczalski
- Peng and Robinson
- Planck
- Porter
- QUABACK
- Rankine
- Recknagel
- Redlich-Kwong
- Reinganum
- Rose-Vinet
- Sarrau
- Schiller
- Schrieber
- Smoluchowski
- Starkweather
- Stiffened
- Tait
- Thiesen
- Tillotson
- Tumlirz
- Twu-Sim-Tassone
- van der Waals
- Walter
- Wohl
- Water equation of state

## Other methods[edit]

## Model systems[edit]

Equations of state for idealised models:

- Three-dimensional hard dumbbells
- Hard convex bodies
- Hard rods
- Gaussian overlap model
- Square shoulder model
- Square well model
- Triangular well model
- Equations of state for hard spheres
- Equations of state for crystals of hard spheres
- Equations of state for hard sphere mixtures
- Equations of state for hard disks
- Hard ellipsoid equation of state
- Lennard-Jones equation of state
- Fused hard sphere chains
- Tetrahedral hard sphere model

## See also[edit]

## Interesting reading[edit]

- James A. Beattie and Walter H. Stockmayer "Equations of state", Reports on Progress in Physics
**7**pp. 195-229 (1940) - K. K. Shah and G. Thodos "A Comparison of Equations of State", Industrial & Engineering Chemistry
**57**pp. 30-37 (1965) - J. S. Rowlinson "The equation of state of dense systems", Reports on Progress in Physics
**28**pp. 169-199 (1965)

**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