ISSN: 23791748
ISBN: 9781567004304

AN INVERSE OPTIMIZATION FOR MINIMIZING ENTRANSY DISSIPATION DURING HEAT TRANSFER PROCESSES
Zhihui Xie Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
Shaojun Xia Institute of Thermal Science and Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
Lingen Chen Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
Yanlin Ge Institute of Thermal Science and Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; Military Key Laboratory for Naval Ship Power Engineering, Naval University of Engineering,
Wuhan, 430033, P. R. China; College of Power Engineering, Naval University of Engineering, Wuhan 430033, P. R. China
摘要A class of finitetime heat transfer processes (HTPs) for entransy dissipation minimization is studied in this
paper. Based on optimal control theory, the optimality condition is derived firstly, and then the general
characteristics of heat transfer laws (HTLs) for three special temperature distributions including uniform
temperature difference field, constant heat transfer rate per unit area, and constant entransy dissipation rate
operations are obtained based on the optimality condition. The results show that the condition that the difference
of temperature for the minimum entransy dissipation of heat transfer process (EDOHTP) is a constant is not only
valid for Newtonian HTL [ q ∝ Δ(T) ], but also valid for generalized convective HTL [ q ∝ (ΔT)^{m} ] and complex HTL ( q ∝ [ (ΔT) + (ΔT)^{m} ] ); if the heat transfer rate per unit area is a constant when the EDOHTP achieves its minimum value, the difference of temperature between cold and hot fluids is also a constant; the entransy dissipation rate for the minimum EDOHTPes with generalized convective HTL is a constant.

