Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (2): 271-288.doi: https://doi.org/10.1007/s10483-017-2168-9

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Stratified magnetohydrodynamic flow of tangent hyperbolic nanofluid induced by inclined sheet

T. HAYAT1,2, M. MUMTAZ1, A. SHAFIQ3, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320, 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, Preston University Kohat, Islamabad Campus, Islamabad 44000, Pakistan
  • 收稿日期:2016-03-02 修回日期:2016-09-02 出版日期:2017-02-01 发布日期:2017-02-01
  • 通讯作者: A.SHAFIQ,E-mail:anumshafiq@ymail.com E-mail:anumshafiq@ymail.com

Stratified magnetohydrodynamic flow of tangent hyperbolic nanofluid induced by inclined sheet

T. HAYAT1,2, M. MUMTAZ1, A. SHAFIQ3, A. ALSAEDI2   

  1. 1. Department of Mathematics, Quaid-i-Azam University 45320, 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, Preston University Kohat, Islamabad Campus, Islamabad 44000, Pakistan
  • Received:2016-03-02 Revised:2016-09-02 Online:2017-02-01 Published:2017-02-01
  • Contact: A.SHAFIQ E-mail:anumshafiq@ymail.com

摘要:

This paper studies stratified magnetohydrodynamic(MHD) flow of tangent hyperbolic nanofluid past an inclined exponentially stretching surface. The flow is subjected to velocity, thermal, and solutal boundary conditions. The partial differential systems are reduced to ordinary differential systems using appropriate transformations. The reduced systems are solved for convergent series solutions. The velocity, temperature, and concentration fields are discussed for different physical parameters. The results indicate that the temperature and the thermal boundary layer thickness increase noticeably for large values of Brownian motion and thermophoresis effects. It is also observed that the buoyancy parameter strengthens the velocity field, showing a decreasing behavior of temperature and nanoparticle volume fraction profiles.

关键词: tangent hyperbolic nanofluid, double stratification, exponential stretching, two-dimensional magnetohydrodynamic(MHD) flow, mixed convection, inclined sheet

Abstract:

This paper studies stratified magnetohydrodynamic(MHD) flow of tangent hyperbolic nanofluid past an inclined exponentially stretching surface. The flow is subjected to velocity, thermal, and solutal boundary conditions. The partial differential systems are reduced to ordinary differential systems using appropriate transformations. The reduced systems are solved for convergent series solutions. The velocity, temperature, and concentration fields are discussed for different physical parameters. The results indicate that the temperature and the thermal boundary layer thickness increase noticeably for large values of Brownian motion and thermophoresis effects. It is also observed that the buoyancy parameter strengthens the velocity field, showing a decreasing behavior of temperature and nanoparticle volume fraction profiles.

Key words: double stratification, tangent hyperbolic nanofluid, two-dimensional magnetohydrodynamic(MHD) flow, exponential stretching, inclined sheet, mixed convection

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