Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (2): 193-208.doi: https://doi.org/10.1007/s10483-016-2024-8

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Unsteady MHD flow over exponentially stretching sheet with slip conditions

T. HAYAT1,2, A. SHAFIQ1, A. ALSAEDI2, S. A. SHAHZAD3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan
  • 收稿日期:2015-02-21 修回日期:2015-08-06 出版日期:2016-02-01 发布日期:2016-02-01
  • 通讯作者: A. SHAFIQ E-mail:anumshafiq@ymail.com

Unsteady MHD flow over exponentially stretching sheet with slip conditions

T. HAYAT1,2, A. SHAFIQ1, A. ALSAEDI2, S. A. SHAHZAD3   

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    2. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    3. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan
  • Received:2015-02-21 Revised:2015-08-06 Online:2016-02-01 Published:2016-02-01
  • Contact: A. SHAFIQ E-mail:anumshafiq@ymail.com

摘要:

The present paper examines the hydromagnetic three-dimensional flow in-duced by a stretched surface. An incompressible material saturates the porous medium. Velocity and thermal slip boundary conditions are considered. Suitable transformations are used to obtain the nonlinear ordinary differential equations. Series solutions of the resulting systems are constructed. The effects of various pertinent parameters on the axial velocity and temperature distributions are analyzed graphically. The skin friction and the Nusselt number are computed numerically and graphically.

关键词: velocity and thermal slip conditions, three-dimensional flow, porous medium

Abstract:

The present paper examines the hydromagnetic three-dimensional flow in-duced by a stretched surface. An incompressible material saturates the porous medium. Velocity and thermal slip boundary conditions are considered. Suitable transformations are used to obtain the nonlinear ordinary differential equations. Series solutions of the resulting systems are constructed. The effects of various pertinent parameters on the axial velocity and temperature distributions are analyzed graphically. The skin friction and the Nusselt number are computed numerically and graphically.

Key words: three-dimensional flow, velocity and thermal slip conditions, porous medium

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