›› 2014, Vol. 23 ›› Issue (10): 104701-104701.doi: 10.1088/1674-1056/23/10/104701

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

MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation

Swati Mukhopadhyaya, Iswar Cha, ra Moindalb 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:2013-10-23 修回日期:2014-03-25 出版日期:2014-10-15 发布日期:2014-10-15

MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation

Swati Mukhopadhyaya, Iswar Cha, ra Moindalb 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:2013-10-23 Revised:2014-03-25 Online:2014-10-15 Published:2014-10-15
  • Contact: Swati Mukhopadhyay,Iswar Ch,ra Moindal,Tasawar Hayat E-mail:swati_bumath@yahoo.co.in;iswar.chandra2010@gmail.com;pensy_t@yahoo.com
  • About author:47.15.Cb; 44.20.+b; 47.50.-d

摘要: This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carried out in presence of thermal radiation and prescribed surface heat flux. In this study, an exponential order stretching velocity and prescribed exponential order surface heat flux are accorded with each other. The governing partial differential equations are first converted into nonlinear ordinary differential equations by using appropriate transformations and then solved numerically. The effect of increasing values of the Casson parameter is to suppress the velocity field. However the temperature is enhanced when Casson parameter increases. It is found that the skin-friction coefficient increases with increasing values of suction parameter. Temperature also increases for large values of power index n in both suction and blowing cases at the boundary. It is observed that the thermal radiation enhances the effective thermal diffusivity and hence the temperature rises.

关键词: exponential stretching, suction/blowing, prescribed heat flux, thermal radiation

Abstract: This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carried out in presence of thermal radiation and prescribed surface heat flux. In this study, an exponential order stretching velocity and prescribed exponential order surface heat flux are accorded with each other. The governing partial differential equations are first converted into nonlinear ordinary differential equations by using appropriate transformations and then solved numerically. The effect of increasing values of the Casson parameter is to suppress the velocity field. However the temperature is enhanced when Casson parameter increases. It is found that the skin-friction coefficient increases with increasing values of suction parameter. Temperature also increases for large values of power index n in both suction and blowing cases at the boundary. It is observed that the thermal radiation enhances the effective thermal diffusivity and hence the temperature rises.

Key words: exponential stretching, suction/blowing, prescribed heat flux, thermal radiation

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)