Supp Adiabatic Flash

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    Section 1

    Adiabatic Flash

    An adiabatic flash will result in a temperature change from the feed conditions that is often significant. The

    typical scenario is that the outlet pressure is less than the inlet pressure, resulting in an evaporation of a frac-

    tion of the feed. Because evaporation is endothermic, this type of flash results in a temperature drop (often

    significant). We have seen this type of calculation for pure fluids using throttles. The additional complica-

    tion with a mixture is that the components will distribute based on their different volatilities. The objective

    of an adiabatic flash calculation is to determine the outlet temperature in addition to the Land Vcomposi-

    tions. An adiabatic flash requires an energy balance calculation in addition to the phase equilibria calcula-

    tion. The energy balance for an adiabatic flash is:

    0.1

    where we indicate a common method of calculation of the enthalpy of a mixture as the sum of the compo-

    nent enthalpies and the heat of mixing (Eqn. 3.24). Writing in terms of L/F:

    0.2

    Eqn. 0.2 must be solved simultaneously with Eqn. 10.17 that also must be zero. The vapor and liquid mole

    fractions for Eqn. 0.2 are determined from Eqns. 10.15 and 10.16. A reference state must be specified for

    each component, and a method for calculation of the enthalpy must be selected. The method is complex

    enough that even simple assumptions such as ideal mixture where benefit from a computer

    algorithm. A simple method of calculating enthalpies of vapors and liquids relative to reference states has

    been illustrated in Example 3.3.

    The algorithm to solve for the adiabatic flash depends on the differences in boiling points of the compo-

    nents. Usually the boiling points are different enough that an initial guess of T(where VandLare assumed

    to exit at the same T) is used in VLE Eqn. 10.17 to find an initialL/F. If the 0

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    2 Unit III Fluid Phase Equilibria in Mixtures