中国物理B ›› 2013, Vol. 22 ›› Issue (11): 114701-114701.doi: 10.1088/1674-1056/22/11/114701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects

Swati Mukhopadhyaya, Krishnendu Bhattacharyyaa, Tasawar Hayatb c   

  1. a Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India;
    b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan;
    c Department of Mathematics, Faculty of Science, King Abdulziz University, Jeddah 21589, Saudi Arabia
  • 收稿日期:2013-03-26 修回日期:2013-05-20 出版日期:2013-09-28 发布日期:2013-09-28
  • 基金资助:
    Project supported by UGC (New Delhi, India) through the Special Assistance Programme DSA Phase 1.

Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects

Swati Mukhopadhyaya, Krishnendu Bhattacharyyaa, Tasawar Hayatb c   

  1. a Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India;
    b Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan;
    c Department of Mathematics, Faculty of Science, King Abdulziz University, Jeddah 21589, Saudi Arabia
  • Received:2013-03-26 Revised:2013-05-20 Online:2013-09-28 Published:2013-09-28
  • Contact: Swati Mukhopadhyay E-mail:swati_bumath@yahoo.co.in
  • Supported by:
    Project supported by UGC (New Delhi, India) through the Special Assistance Programme DSA Phase 1.

摘要: The effects of transpiration on forced convection boundary layer non-Newtonian fluid flow and heat transfer toward a linearly stretching surface are reported. The flow is caused solely by the stretching of the sheet in its own plane with a velocity varying linearly with the distance from a fixed point. The constitutive relationship for the Casson fluid is used. The governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations by using similarity transformations. Exact solutions of the resulting ordinary differential equations are obtained. The effect of increasing Casson parameter, i.e., with decreasing yield stress (the fluid behaves as a Newtonian fluid as the Casson parameter becomes large), is to suppress the velocity field. However, the temperature is enhanced as the Casson parameter increases. It is observed that the effect of transpiration is to decrease the fluid velocity as well as the temperature. The skin-friction coefficient is found to increase as the transpiration parameter increases.

关键词: stretching surface, transpiration, Casson fluid, heat transfer

Abstract: The effects of transpiration on forced convection boundary layer non-Newtonian fluid flow and heat transfer toward a linearly stretching surface are reported. The flow is caused solely by the stretching of the sheet in its own plane with a velocity varying linearly with the distance from a fixed point. The constitutive relationship for the Casson fluid is used. The governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations by using similarity transformations. Exact solutions of the resulting ordinary differential equations are obtained. The effect of increasing Casson parameter, i.e., with decreasing yield stress (the fluid behaves as a Newtonian fluid as the Casson parameter becomes large), is to suppress the velocity field. However, the temperature is enhanced as the Casson parameter increases. It is observed that the effect of transpiration is to decrease the fluid velocity as well as the temperature. The skin-friction coefficient is found to increase as the transpiration parameter increases.

Key words: stretching surface, transpiration, Casson fluid, heat transfer

中图分类号:  (Laminar boundary layers)

  • 47.15.Cb
44.20.+b (Boundary layer heat flow) 47.50.-d (Non-Newtonian fluid flows)