Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (6): 703-720.doi: https://doi.org/10.1007/s10483-013-1701-6

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Thermal radiation effect on flow and heat transfer of unsteady MHD micropolar fluid over vertical heated nonisothermal stretching surface using group analysis

I. A. HASSANIEN1, H. M. EL-HAWARY1, M. A. A. MAHMOUD2, R. G. ABDEL-RAHMAN2, A. S. ELFESHAWEY2   

  1. 1. Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt;
    2. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt
  • 出版日期:2013-06-03 发布日期:2013-06-03
  • 通讯作者: A. S. ELFESHAWEY E-mail:abeer_elfeshawey@yahoo.com

Thermal radiation effect on flow and heat transfer of unsteady MHD micropolar fluid over vertical heated nonisothermal stretching surface using

I. A. HASSANIEN1, H. M. EL-HAWARY1, M. A. A. MAHMOUD2, R. G. ABDEL-RAHMAN2, A. S. ELFESHAWEY2   

  1. 1. Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt;
    2. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt
  • Online:2013-06-03 Published:2013-06-03
  • Contact: A. S. ELFESHAWEY E-mail:abeer_elfeshawey@yahoo.com

摘要: The aim of this paper is to study the thermal radiation effects on the flow and heat transfer of an unsteady magnetohydrodynamic (MHD) micropolar fluid over a vertical heated nonisothermal stretching surface in the presence of a strong nonuniform magnetic field. The symmetries of the governing partial differential equations are determined by the two-parameter group method. One of the resulting systems of reduced nonlinear ordinary differential equations are solved numerically by the Chebyshev spectral method. The effects of various parameters on the velocity, the angular velocity, and the temperature profiles as well as the skin-friction coefficient, the wall couple stress coefficient, and the Nusselt number are studied.

关键词: thermal radiation, Chebyshev spectral method, unsteady flow, micropolar fluid, group theoretic method

Abstract: The aim of this paper is to study the thermal radiation effects on the flow and heat transfer of an unsteady magnetohydrodynamic (MHD) micropolar fluid over a vertical heated nonisothermal stretching surface in the presence of a strong nonuniform magnetic field. The symmetries of the governing partial differential equations are determined by the two-parameter group method. One of the resulting systems of reduced nonlinear ordinary differential equations are solved numerically by the Chebyshev spectral method. The effects of various parameters on the velocity, the angular velocity, and the temperature profiles as well as the skin-friction coefficient, the wall couple stress coefficient, and the Nusselt number are studied.

Key words: large strain consolidation, variational principle, region-wise variation, generalized variational principle, unsteady flow, thermal radiation, group theoretic method, micropolar fluid, Chebyshev spectral method

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