中国物理B ›› 2014, Vol. 23 ›› Issue (4): 44702-044702.doi: 10.1088/1674-1056/23/4/044702

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

Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux

Swati Mukhopadhyay, Iswar Chandra Mandal   

  1. Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India
  • 收稿日期:2013-05-23 修回日期:2013-07-14 出版日期:2014-04-15 发布日期:2014-04-15

Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux

Swati Mukhopadhyay, Iswar Chandra Mandal   

  1. Department of Mathematics, The University of Burdwan, Burdwan-713104, W. B., India
  • Received:2013-05-23 Revised:2013-07-14 Online:2014-04-15 Published:2014-04-15
  • Contact: Swati Mukhopadhyay, Iswar Chandra Mandal E-mail:swati_bumath@yahoo.co.in;iswar.chandra2010@gmail.com
  • About author:47.15.Cb; 47.50.-d; 44.20.+b

摘要: The aim of this paper is to investigate numerically the boundary layer forced convection flow of a Casson fluid past a symmetric porous wedge. Similarity transformations are used to convert the governing partial differential equations into ordinary ones. With the help of the shooting method, the reduced equations are then solved numerically. Comparisons are made with the previously published results in some special cases and they are found to be in excellent agreement with each other. The results obtained in this study are illustrated graphically and discussed in detail. The velocity is found to increase with an increasing Falkner-Skan exponent whereas the temperature decreases. With the rise of the Casson fluid parameter, the fluid velocity increases but the temperature is found to decrease in this case. Fluid velocity is suppressed with the increase of suction. The skin friction decreases with the increasing value of Casson fluid parameter. It is found that the temperature decreases as the Prandtl number increases and thermal boundary layer thickness decreases with the increasing value of Prandtl number. A significant finding of this investigation is that flow separation can be controlled by increasing the value of the Casson fluid parameter as well as by increasing the amount of suction.

关键词: symmetric wedge, Casson fluid, heat flux, suction/blowing

Abstract: The aim of this paper is to investigate numerically the boundary layer forced convection flow of a Casson fluid past a symmetric porous wedge. Similarity transformations are used to convert the governing partial differential equations into ordinary ones. With the help of the shooting method, the reduced equations are then solved numerically. Comparisons are made with the previously published results in some special cases and they are found to be in excellent agreement with each other. The results obtained in this study are illustrated graphically and discussed in detail. The velocity is found to increase with an increasing Falkner-Skan exponent whereas the temperature decreases. With the rise of the Casson fluid parameter, the fluid velocity increases but the temperature is found to decrease in this case. Fluid velocity is suppressed with the increase of suction. The skin friction decreases with the increasing value of Casson fluid parameter. It is found that the temperature decreases as the Prandtl number increases and thermal boundary layer thickness decreases with the increasing value of Prandtl number. A significant finding of this investigation is that flow separation can be controlled by increasing the value of the Casson fluid parameter as well as by increasing the amount of suction.

Key words: symmetric wedge, Casson fluid, heat flux, suction/blowing

中图分类号:  (Laminar boundary layers)

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