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Aspen Physical Property System - Physical Property Models

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76 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

(13)<br />

This alpha function is used in the Redlich-Kwong-UNIFAC model which is the<br />

basis for the SR-POLAR property method.<br />

Parameter Symbol Default MDS Lower Upper Units<br />

Name/Element<br />

Limit Limit<br />

TCRKU T ci TC X 5.0 2000.0 TEMPERATURE<br />

PCRKU p ci PC X 10 5<br />

OMGRKU � i OMEGA X -0.5 2.0 —<br />

RKUPP0 p 1,i — X — — —<br />

RKUPP1 p 2,i 0 X — — —<br />

RKUPP2 p 3,i 0 X — — —<br />

Mathias-Copeman Alpha Function<br />

10 8<br />

PRESSURE<br />

The Mathias-Copeman alpha function is suitable for use with both polar and<br />

nonpolar components. It has the flexibility to fit the vapor pressure of most<br />

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

(14)<br />

For c2,i=0 and c3,i=0 this expression reduces to the standard Redlich-Kwong-<br />

Soave formulation if c1,i=mi. If the temperature is subcritical, use vapor<br />

pressure data to regress the constants. If the temperature is supercritical, set<br />

c2,i and c3,i to 0.<br />

Parameter<br />

Name/Element<br />

Symbol Default MDS Lower<br />

Limit<br />

Upper<br />

Limit<br />

Units<br />

TCRKS T ci TC X 5.0 2000.0 TEMPERATURE<br />

PCRKS p ci PC X 10 5<br />

RKSMCP/1 c 1,i — X — — —<br />

RKSMCP/2 c 2,i 0 X — — —<br />

RKSMCP/3 c 3,i 0 X — — —<br />

10 8<br />

PRESSURE<br />

Schwartzentruber-Renon-Watanasiri Alpha Function<br />

The Schwartzentruber-Renon-Watanasiri alpha function is:<br />

(15)<br />

Where mi is computed by equation 6 and the polar parameters p1,i, p2,i and<br />

p3,i are comparable with the c parameters of the Mathias-Copeman<br />

expression. Equation 15 reduces to the standard Redlich-Kwong-Soave<br />

formulation if the polar parameters are zero. Equation 15 is very similar to<br />

the extended Mathias equation, but it is easier to use in data regression. It is<br />

used only for temperatures below critical. The Boston-Mathias extrapolation is<br />

used for temperatures above critical, that is, use equation 7 with:<br />

(16)

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