非线性传热情况下内可逆三热源热泵的最佳供热系数与供热率间的关系

THE RELATION BETWEEN OPTIMAL PERFORMANCE COEFFICIENT AND RATE OF HEATING OF A ENDOREVERSIBLE THREE SOURCE HEAT PUMP WITH NONLINEAR HEAT TRANSFER

本文导出了非线性传热q(T_R,T_w)=a(T_w^(-1)-T_R^(-1))情况下内可逆三热源热泵的最佳供热系数与供热率间的关系:当ψ<1时,有π=αψ[T_p(T_H-T_o)-T_H(T_p-T_o)ψ]/(4T_HT_pT_o);当ψ>1时,有π=a[T_p(T_H-T_o)/ψ-T_H(T_p-T_o)]/(4T_HT_pT_o)。并证明,当T_p>2T_HT_o/(T_H+T_o)时,最大供热率对应的最佳供热系数为ψ_m=T_p(T_H-T_o)/[2T_H(T_p-T_o)];当T_P≤2T_HT_o/(T_H+T_o)时,最佳热系数是供热率的单调减函数。

The relation between optimal performance coefficient and the rate of heating of a endoreversible three source heat pump with the nonlinear heat transfer condition q(Tw,' TR)= α(Tw-1-TR-1) is derived and giren by the expression π=αψ[Tp(TH- TO) -TH(TP-TIO)ψ]/(4THTPTO) when ψ<1. and π=α[TP(TH-TO)ψ-1-TH(TP-TO)] /(4THTPTO) when ψ>1. It is shown that the performance coefficient at maximum rate of heating is given by the expression ψm = TP(TH- TO)/[2TH(TP- TO)] when TP>2THTO/(TH + TO). However, when TP≤2THTO(TH + TO), the optimal performance coefficient is a monotomic decrease function of the rate of heating.