Abstract
The analytical solutions for the temperature variation of two streams in parallel flow, counter flow and cross-flow heat exchangers and related entropy generation due to heat exchange between the streams are presented. The analysis of limiting cases for the relative entropy generation is performed, and corresponding analytical expressions are given. The obtained results may be included in a more general procedure concerning optimal heat exchanger design.
Highlights
In a cross flow heat exchanger (CRHE) the streams are at an angle, so the temperatures of both streams depend on two coordinates, the non-dimensional x and y
For a given ε the maximal relative entropy generation occurs in an evaporator or condenser, followed by the counterflow heat exchanger, while it becomes minimal in the parallel flow heat exchanger
The relative entropy generation is defined as a ratio of actual entropy generation rate and its maximal value
Summary
The analyzed heat exchangers may be considered as a dividing wall between two fluids. Any of them is characterized by the wall surface area A0, overall heat exchange coefficient k, heat capacity rates of the weaker and stronger stream C1 and C2 and inlet temperatures of two streams T1′ andT2′. Instead of these six dimensional variables it is convenient to introduce the following three non-dimensional parameters: π2
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