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Aspen Physical Property System - Physical Property Models

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I, J = Component index<br />

i, j, m = Conceptual segment indexx, y-, y+, z<br />

�I = Activity coefficient of component I<br />

�I C = �I FH = Flory-Huggins term for combinatorial contribution to �I<br />

�I R = �I lc = NRTL term for local composition interaction contribution to<br />

132 2 Thermodynamic <strong>Property</strong> <strong>Models</strong><br />

�I<br />

�I = Segment mole fraction of component I<br />

pI = Effective component size parameter<br />

sI and �I = Empirical parameters for pI<br />

rI = Total segment number of component I<br />

xI = Mole fraction of component I<br />

rI,m = Number of conceptual segment m containing in component<br />

I<br />

xi = Segment mole fraction of conceptual segment i in mixtures<br />

�im = NRTL binary non-randomness factor parameter for<br />

conceptual segments<br />

�im = NRTL binary interaction energy parameter for conceptual<br />

segments<br />

NRTL binary parameters for conceptual segments<br />

The NRTL binary parameters between conceptual segments in NRTLSAC are<br />

determined by available VLE and LLE data between reference molecules<br />

defined above.<br />

Segment 1 x x y- y+ x<br />

Segment 2 y- z z z y+<br />

� 12<br />

� 21<br />

� 12 = � 21<br />

1.643 6.547 -2.000 2.000 1.643<br />

1.834 10.949 1.787 1.787 1.834<br />

0.2 0.2 0.3 0.3 0.2<br />

Parameters used in NRTLSAC<br />

Each component can have up to four parameters, rI,x, rI,y-, rI,y+, and rI,z<br />

although only one or two of these molecular parameters are needed for most<br />

solvents in practice. Since conceptual segments apply to all molecules, these<br />

four molecular parameters are implemented together as a binary parameter,<br />

NRTLXY(I, m) where I represents a component (molecule) index and m<br />

represents a conceptual segment index.<br />

In addition, the Flory-Huggins size parameter, FHSIZE , is used in NRTLSAC<br />

to calculate the effective component size parameter, pI. The Flory-Huggins<br />

combinatorial term can be turned off by setting �I = 0 for each component in<br />

mixtures.

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