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Convection of Maxwell fluid over stretching porous surface with heat source/sink in presence of nanoparticles: Lie group analysis

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  • Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Received date: 2015-06-05

  Revised date: 2015-10-22

  Online published: 2016-04-01

Supported by

Project supported by the National Natural Science Foundation of China (No. 11302024), the Fundamental Research Funds for the Central Universities (No. FRF-TP-15-036A3), the Beijing Higher Education Young Elite Teacher Project (No.YETP0387), and the Foundation of the China Scholarship Council in 2014 (No. 154201406465041)

Abstract

The convection of a Maxwell fluid over a stretching porous surface with a heat source/sink in the presence of nanoparticles is investigated. The Lie symmetry group transformations are used to convert the boundary layer equations into coupled nonlinear ordinary differential equations. The ordinary differential equations are solved numerically by the Bvp4c with MATLAB, which is a collocation method equivalent to the fourth-order mono-implicit Runge-Kutta method. Furthermore, more attention is paid to the effects of the physical parameters, especially the parameters related to nanoparticles, on the temperature and concentration distributions with consideration of permeability and the heat source/sink.

Cite this article

Limei CAO, Xinhui SI, Liancun ZHENG . Convection of Maxwell fluid over stretching porous surface with heat source/sink in presence of nanoparticles: Lie group analysis[J]. Applied Mathematics and Mechanics, 2016 , 37(4) : 433 -442 . DOI: 10.1007/s10483-016-2052-9

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