Similarity solution to a heat equation with convection in an infinite medium

Liancun Zheng, Xinxin Zhang, and Jicheng He Applied Science School, University of Science and Technology Beijing, Beijing 100083, China,Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, ChinaThermal Engineering Department, Northeastern University, Shenyang 110006, China

摘 要：<正> A second order heat equation with convection in an infinite medium is studied. Suitable similarity transformations are used to reduce the parabolic heat equation to a class of singular nonlinear boundary value problems. Numerical solutions are presented for different representations of heat conduction, heat convection, heat flux, and power law parameters by utilizing the shooting technique. The results reveal the heat transfer characteristic and the effect of parameters on the solutions.

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