Abstract

This paper presents a theoretical study on the developing forced convection heat transfer performance in a porous circular tube with asymmetric entrance temperature under LTNE condition. The Nusselt number is derived analytically, and its dependence on the pertinent parameters is investigated in details. It is found that the distribution characteristics of the Nusselt number with the circumstantial coordinate is determined predominantly by the asymmetric form of the entrance temperature function. Besides, the Nusselt number is strongly dependent on the values of the Péclet number, the Biot number, and the effective thermal conductivity ratio. The results obtained in this work are of benefit to further understand the thermal behavior of forced convection in a porous circular tube with asymmetric inlet temperature under LTNE condition. Meanwhile, the presented analytical solution can serve as a benchmark for calibrating numerical solutions of the studied problem.

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