Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (10): 1301-1312.doi: https://doi.org/10.1007/s10483-012-1623-6

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Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid

T. HAYAT1,2, S. A. SHEHZAD1, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 收稿日期:2011-05-18 修回日期:2011-12-28 出版日期:2012-10-10 发布日期:2012-10-10
  • 通讯作者: T. HAYAT, Professor, Ph.D., E-mail: pensy_t@yahoo.com E-mail:pensy_t@yahoo.com

Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid

T. HAYAT1,2, S. A. SHEHZAD1, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;
    2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Received:2011-05-18 Revised:2011-12-28 Online:2012-10-10 Published:2012-10-10
  • Supported by:

    Project supported by the Deanship of Scientific Research (DSR) of King Abdulaziz University of Saudi Arabia

摘要:

This article studies the Soret and Dufour effects on the magnetohydrodynamic (MHD) flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

关键词: multiple parameter variables, multiple state variables, discretized, conservative, nonlinear stability, activation method, asymptotic analyses, magnetohydrodynamic (MHD) flow, Casson fluid, heat and mass transfer, Soret and Dufour effects

Abstract:

This article studies the Soret and Dufour effects on the magnetohydrodynamic (MHD) flow of the Casson fluid over a stretched surface. The relevant equations are first derived, and the series solution is constructed by the homotopic procedure. The results for velocities, temperature, and concentration fields are displayed and discussed. Numerical values of the skin friction coefficient, the Nusselt number, and the Sherwood number for different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

Key words: heat and mass transfer, multiple parameter variables, multiple state variables, discretized, conservative, nonlinear stability, activation method, asymptotic analyses, Soret and Dufour effects, Casson fluid, magnetohydrodynamic (MHD) flow

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