中国物理B ›› 2013, Vol. 22 ›› Issue (7): 74701-074701.doi: 10.1088/1674-1056/22/7/074701

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

Casson fluid flow and heat transfer over a nonlinearly stretching surface

Swati Mukhopadhyay   

  1. Department of Mathematics, the University of Burdwan, Burdwan-713104, W. B., India
  • 收稿日期:2012-11-10 修回日期:2013-01-18 出版日期:2013-06-01 发布日期:2013-06-01
  • 基金资助:
    Project supported by UGC, New Delhi, India under the Special Assistance Programme DSA Phase-1.

Casson fluid flow and heat transfer over a nonlinearly stretching surface

Swati Mukhopadhyay   

  1. Department of Mathematics, the University of Burdwan, Burdwan-713104, W. B., India
  • Received:2012-11-10 Revised:2013-01-18 Online:2013-06-01 Published:2013-06-01
  • Contact: Swati Mukhopadhyay E-mail:swati_bumath@yahoo.co.in
  • Supported by:
    Project supported by UGC, New Delhi, India under the Special Assistance Programme DSA Phase-1.

摘要: A boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained with the shooting method. The effect of increasing the Casson parameter is to suppress the velocity field. However the temperature is enhanced with the increasing Casson parameter.

关键词: nonlinear stretching, Casson fluid, heat transfer, similarity transformations

Abstract: A boundary layer analysis is presented for non-Newtonian fluid flow and heat transfer over a nonlinearly stretching surface. The Casson fluid model is used to characterize the non-Newtonian fluid behavior. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. Numerical solutions of these equations are obtained with the shooting method. The effect of increasing the Casson parameter is to suppress the velocity field. However the temperature is enhanced with the increasing Casson parameter.

Key words: nonlinear stretching, Casson fluid, heat transfer, similarity transformations

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)