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Aspen Physical Property System - Physical Property Models

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Boston-Mathias Extrapolation<br />

For light gases at high reduced temperatures (> 5), equation 4 gives<br />

unrealistic results. The boundary conditions are that attraction between<br />

molecules should vanish for extremely high temperatures, and � reduces<br />

asymptotically to zero. Boston and Mathias derived an alternative function for<br />

temperatures higher than critical:<br />

With<br />

=<br />

=<br />

Where mi is computed by equation 5, and equation 4 is used for subcritical<br />

temperatures. Additional parameters are not needed.<br />

Extended Gibbons-Laughton Alpha Function<br />

The extended Gibbons-Laughton alpha function is suitable for use with both<br />

polar and nonpolar components. It has the flexibility to fit the vapor pressure<br />

of most substances from the triple point to the critical point.<br />

Where Tr is the reduced temperature; Xi, Yi and Zi are substance dependent<br />

parameters.<br />

This function is equivalent to the standard Peng-Robinson alpha function if<br />

Parameter<br />

Name/Element<br />

70 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

Symbol Default MDS Lower<br />

Limit<br />

(6)<br />

Upper<br />

Limit<br />

PRGLP/1 X — X — — —<br />

PRGLP/2 Y 0 X — — —<br />

PRGLP/3 Z 0 X — — —<br />

PRGLP/4 n 2 X — — —<br />

Units<br />

PRGLP/5 T lower 0 X — — TEMPERATURE<br />

PRGLP/6 T upper 1000 X — — TEMPERATURE<br />

Twu Generalized Alpha Function<br />

The Twu generalized alpha function is a theoretically-based function that is<br />

currently recognized as the best available alpha function. It behaves better<br />

than other functions at supercritical conditions (T > Tc) and when the acentric<br />

factor is large. The improved behavior at high values of acentric factor is<br />

important for high molecular weight pseudocomponents. There is no limit on<br />

the minimum value of acentric factor that can be used with this function.

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