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Transportation Characteristics for a Class of Generalized N-Diffusion Equation with Convection |
| ZHENG Lian-Cun1;ZHANG Xin-Xin2;HE Ji-Cheng3 |
| 1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083
2School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083
3Key Laboratory of National Education Ministry for Electromagnetic Processing of Materials, Northeastern University, Shenyang 110006 |
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| Cite this article: |
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ZHENG Lian-Cun, ZHANG Xin-Xin, HE Ji-Cheng 2004 Chin. Phys. Lett. 21 1104-1107 |
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Abstract A suitable similarity transformation group is used to reduce the power law parabolic partial equation to a class of singular nonlinear boundary value problems. Analytical solutions and numerical solutions both are presented for the specific power law index N, conductivity and convective functions, and the associated transportation characteristics are discussed in detail.
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| Keywords:
44.25.+f
47.27.-i
47.27.Te
82.40.Ck
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Published: 01 June 2004
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| PACS: |
44.25.+f
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(Natural convection)
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47.27.-i
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(Turbulent flows)
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47.27.te
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(Turbulent convective heat transfer)
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82.40.Ck
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(Pattern formation in reactions with diffusion, flow and heat transfer)
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