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& LM Figure 3.12: Temperature as a function of distance through a counter-flow heat exchanger The log-mean temperature difference approach assumes constant fluid specific heat. In any of the modeled heat exchangers (preheater, evaporator, etc...) fluid thermal capacitance is roughly constant allowing the log-mean temperature difference technique to be employed. U in equation [3.1.22] is the overall heat transfer coefficient for the heat exchanger. Predicting heat transfer coefficients normally depends on detailed fluid property data and geometry information as well as an appropriate correlation. For this generalized model it is inappropriate to assume knowledge of either. However, it is still desirable to know the approximate physical sizes of the heat exchangers relative to one another. In order to account for this the relative full-load heat transfer coefficients for each heat transfer process were estimated. The overall heat transfer coefficient in each case is calculated as a counter-flow heat exchanger neglecting tube thermal conductivity [Incropera, 2002]: Q = UA∆TLM [3.1.22] where UA is the heat transfer coefficient-heat exchanger area product and ∆TLM is the log-mean temperature difference defined as [Incropera, 2002]: ∆T = (T H ,in ⎛T −T ⎞ LN⎜ H,in C,out ⎟ − T ) − (T − T C,out H ,out C,in ) [3.1.23] Where the temperatures are as shown in Figure 3.12: 33 ⎜T−T⎟ ⎝ H,out C,in ⎠PDF Image | Organic Rankine Cycle Solar-Thermal Powerplants
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