Assumed Mean Method Numerical
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Assumed Mean Method
For zeoptropic refrigerants, some of the assumptions from the classical LMTD derivation must be discarded. Beginning with the first equation of Chapter 2, the mass flow rate through the heat exchanger is still assumed to be constant, but the specific heats for both the cold and the hot streams are now not constant. In the classical LMTD derivation, it was assumed that the fluids would not undergo a phase change and that they would have constant specific heats (so that dh = cp dT). In this investigation, however, the more general case is studied, allowing a two-phase region of mixtures with nonlinear temperature-enthalpy curves. As discussed in the introduction, this nonlinearity results in varying specific heats. In fact, the specific heat is a function of both temperature and area. Returning then instead to the second definition in Chapter 2 for the heat transferred between two streams in a heat exchanger,
dQ = U DTmw dA
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