Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (7): 823-832.doi: https://doi.org/10.1007/s10483-013-1710-7

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Three-dimensional stretched flow of Jeffrey fluid with variable thermal conductivity and thermal radiation

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

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 出版日期:2013-07-03 发布日期:2013-07-03
  • 通讯作者: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

Three-dimensional stretched flow of Jeffrey fluid with variable thermal conductivity and thermal radiation

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

  1. 1. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan;
    2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Online:2013-07-03 Published:2013-07-03
  • Contact: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

摘要:

This article addresses the three-dimensional stretched flow of the Jeffrey fluid with thermal radiation. The thermal conductivity of the fluid varies linearly with respect to temperature. Computations are performed for the velocity and temperature fields. Graphs for the velocity and temperature are plotted to examine the behaviors with different parameters. Numerical values of the local Nusselt number are presented and discussed. The present results are compared with the existing limiting solutions, showing good agreement with each other.

关键词: 内波, Hamilton摄动理论, 势函数, Dirichlet-Neumann算子, Boussinesq方程, KdV方程, Jeffrey fluid, thermal radiation, three-dimensional flow, variable thermal conductivity

Abstract:

This article addresses the three-dimensional stretched flow of the Jeffrey fluid with thermal radiation. The thermal conductivity of the fluid varies linearly with respect to temperature. Computations are performed for the velocity and temperature fields. Graphs for the velocity and temperature are plotted to examine the behaviors with different parameters. Numerical values of the local Nusselt number are presented and discussed. The present results are compared with the existing limiting solutions, showing good agreement with each other.

Key words: Internal waves, Hamiltonian perturbation theory, potential function, Dirichlet-Neumann operator, Boussinesq equation, KdV equation, thermal radiation, three-dimensional flow, variable thermal conductivity, Jeffrey fluid

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