### The Dynamics of Real Gases

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For most applications, such a detailed analysis is unnecessary, and the ideal gas approximation can be used with reasonable accuracy. On the other hand, real-gas models have to be used near the condensation point of gases, near critical points , at very high pressures, to explain the Joule—Thomson effect and in other less usual cases. The deviation from ideality can be described by the compressibility factor Z.

## Gas kinetics

Where p is the pressure, T is the temperature, R the ideal gas constant, and V m the molar volume. The Redlich—Kwong equation is another two-parameter equation that is used to model real gases. It is almost always more accurate than the van der Waals equation , and often more accurate than some equations with more than two parameters. The equation is.

## Gas kinetics

These parameters can be determined:. The Berthelot equation named after D.

Berthelot [1] is very rarely used,. This model named after C. Dieterici [2] fell out of usage in recent years. The Clausius equation named after Rudolf Clausius is a very simple three-parameter equation used to model gases.

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The deviation from ideality can be described by the compressibility factor Z. Where p is the pressure, T is the temperature, R the ideal gas constant, and V m the molar volume. The Redlich—Kwong equation is another two-parameter equation that is used to model real gases.

## Real gas - Wikipedia

It is almost always more accurate than the van der Waals equation , and often more accurate than some equations with more than two parameters. The equation is.

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These parameters can be determined:. The Berthelot equation named after D. Berthelot [1] is very rarely used,.

This model named after C. Dieterici [2] fell out of usage in recent years.

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The Clausius equation named after Rudolf Clausius is a very simple three-parameter equation used to model gases. The Virial equation derives from a perturbative treatment of statistical mechanics.

Peng—Robinson equation of state named after D. Start a New Search:. Record 1 of 1.

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This approach uses an explicitly specified equation of state EOS so that the fluid pressure, temperature, and transport properties are directly related to the flow variables. The method is efficient since no subiterations are required to deduce the pressure and temperature from the flux variables and is modular by allowing different equations of state to be easily supplied to the code. The flexibility of the EOS approach is shown by its implementation into a high-order total variation diminishing upwinding scheme as well as a standard central-differencing scheme.

The EOS approach is then demonstrated by computing the hypersonic flow through the corner region of two mutually perpendicular flat plates using both the upwind and central-differencing schemes.