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| Free boundary value problems for a class of generalized diffusion equation | |
| 引用本文： | LiancunZheng XinxinZhang 等. Free boundary value problems for a class of generalized diffusion equation[J]. 北京科技大学学报(英文版), 2002, 9(6): 422-425 |
| 作者姓名： | LiancunZheng XinxinZhang 等 |
| 作者单位： | [1]AppliedScienceSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China [2]MechanicalEngineeringSchool,UniversityofScienceandTechnologyBeijing,Beijing100083,China |
| 基金项目： | the Cross-Century Talents Projects of Educational Ministry of China，国家重点基础研究发展计划(973计划) |
| 摘 要： | 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. |
| 关 键 词： | 广义扩散方程 自由边界值 射影技术 |
Free boundary value problems for a class of generalized diffusion equation |
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| Liancun Zheng,Xinxin Zhang,Jicheng He. Free boundary value problems for a class of generalized diffusion equation[J]. Journal of University of Science and Technology Beijing, 2002, 9(6): 422-425 | |
| Authors: | Liancun Zheng Xinxin Zhang Jicheng He |
| Affiliation: | 1. Applied Science School, University of Science and Technology Beijing, Beijing 100083, China 2. Mechanical Engineering School, University of Science and Technology Beijing, Beijing 100083, China 3. Thermal Engineering Department, Northeastern University, Shenyang 110006, China |
| Abstract: | 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. |
| Keywords: | free boundary value problem generalized diffusion equation nonlinear boundary problem shooting technique |
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