Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (1): 97-112.doi: https://doi.org/10.1007/s10483-013-1656-6

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Transient mixed convection flow arising due to thermal  and mass diffusion over porous sensor surface inside squeezing horizontal channel

M. MAHMOOD, S. ASGHAR, M. A. HOSSAIN   

  1. Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad 44000, Pakistan
  • 收稿日期:2011-09-13 修回日期:2012-08-06 出版日期:2013-01-03 发布日期:2013-01-03
  • 通讯作者: M. A. HOSSAIN E-mail:anwar@univdhaka.edu

Transient mixed convection flow arising due to thermal  and mass diffusion over porous sensor surface inside squeezing horizontal channel

M. MAHMOOD, S. ASGHAR, M. A. HOSSAIN   

  1. Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad 44000, Pakistan
  • Received:2011-09-13 Revised:2012-08-06 Online:2013-01-03 Published:2013-01-03
  • Contact: M. A. HOSSAIN E-mail:anwar@univdhaka.edu

摘要: The double diffusion effect on the mixed convection flow over a horizontal porous sensor surface placed inside a horizontal channel is analyzed. With the appropriate transformations, the unsteady equations governing the flow are reduced to non-similar boundary layer equations which are solved numerically for the time-dependent mixed convection parameter. The asymptotic solutions are obtained for small and large values of the time dependent mixed convection parameter. The results are discussed in terms of the skin friction, the heat transfer coefficient, the mass transfer coefficient, and the velocity, temperature, and concentration profiles for different values of the Prandtl number, the Schmidt number, the squeezing index, and the mixed convection parameter.

关键词: squeezed flow, mass transfer, mixed convection, horizontal surface, extended Jordan’s lemma, Laplace transform, Fourier transform, complex variable function

Abstract: The double diffusion effect on the mixed convection flow over a horizontal porous sensor surface placed inside a horizontal channel is analyzed. With the appropriate transformations, the unsteady equations governing the flow are reduced to non-similar boundary layer equations which are solved numerically for the time-dependent mixed convection parameter. The asymptotic solutions are obtained for small and large values of the time dependent mixed convection parameter. The results are discussed in terms of the skin friction, the heat transfer coefficient, the mass transfer coefficient, and the velocity, temperature, and concentration profiles for different values of the Prandtl number, the Schmidt number, the squeezing index, and the mixed convection parameter.

Key words: squeezed flow, mass transfer, mixed convection, horizontal surface, extended Jordan’s lemma, Laplace transform, Fourier transform, complex variable function

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