Free boundary value problems for a class of generalized diffusion equation

Liancun Zheng, Xinxin Zhang, and Jicheng HeApplied Science School, University of Science and Technology Beijing, Beijing 100083, China, Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China Thermal Engineering Department, Northeastern University, Shenyang 110006, China (Received 2001-12-10)

Õª Òª£ºª¤<Õý>The transport behavior of free boundary value problems for a class of generalized diffusion equations was studied. Suitable similarity transformations were used to convert the problems into a class of singular nonlinear two-point boundary value problems and similarity solutions were numerical presented for different representations of heat conduction function, convection function, heat flux function, and power law parameters by utilizing the shooting technique. The results revealed the flux transfer mechanism and the character as well as the effects of parameters on the solutions.

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