Equations of state: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) m (→Interesting reading: Added a book reference.) |
Carl McBride (talk | contribs) m (→Semi-empirical equations of state: Added internal links) |
||
(11 intermediate revisions by 4 users not shown) | |||
Line 1: | Line 1: | ||
'''Equations of state''' are generally expressions that relate the macroscopic observables [[pressure]], <math>p</math>, volume, <math>V</math>, and [[temperature]], <math>T</math>. | '''Equations of state''' are generally expressions that relate the macroscopic observables, or ''state variables'', such as [[pressure]], <math>p</math>, volume, <math>V</math>, and [[temperature]], <math>T</math>. | ||
==General== | ==General== | ||
*[[Common bulk modulus point]] | *[[Common bulk modulus point]] | ||
Line 12: | Line 12: | ||
*[[Second virial coefficient]] | *[[Second virial coefficient]] | ||
*[[Virial coefficients of model systems]] | *[[Virial coefficients of model systems]] | ||
== | ==Semi-empirical equations of state== | ||
Naturally there is the [[Equation of State: Ideal Gas|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. | |||
{{columns-list|3| | {{columns-list|3| | ||
*[[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 30: | 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 45: | 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 54: | 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 62: | 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 81: | Line 98: | ||
*[[Lennard-Jones equation of state]] | *[[Lennard-Jones equation of state]] | ||
*[[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]] | ||
==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)] |
Revision as of 14:11, 19 May 2017
Equations of state are generally expressions that relate the macroscopic observables, or state variables, such as pressure, , volume, , and temperature, .
General
- 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
Semi-empirical equations of state
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
Model systems
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
Interesting reading
- 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