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Thermodynamics Analysis and Mathematic Proof of the Error of the Equivalent Enthalpy Drop Partial Quantitative Method (EEDPQM)

The economy of heat recovery system which changes due to the drain system is analyzed qualitative and calculated quantitative using Equivalent Enthalpy-drop Partial Quantitative Method (EEDPQM). By comparing with the results calculated by the Equivalent enthalpy-drop whole calculation method (EEDWCM) and the conventional heat balancing method (CHBM), this paper points out that the EEDPQM is a approximate calculation method when it is used to calculate the economy changes of heat recovery system due to the drain system. Then the EEDWCM is proved to be absolutely consistent with the CHBM, and in most cases the EEDPQM is consistent with the EEDWCM and CHBM while in some particular case (such as the changes of the drain system) it is not consistent and the expression of error item is given in this paper.