Liancun Zheng, Xinxin Zhang, and Jicheng He, Similarity solution to a heat equation with convection in an infinite medium, J. Univ. Sci. Technol. Beijing , 10(2003), No. 4, pp.29-32.
Liancun Zheng, Xinxin Zhang, and Jicheng He, Similarity solution to a heat equation with convection in an infinite medium, J. Univ. Sci. Technol. Beijing , 10(2003), No. 4, pp.29-32.
摘要:
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.
Similarity solution to a heat equation with convection in an infinite medium
Abstract:
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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