Convective flow of Sisko fluid over a wedge with viscous dissipation

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• 作者：Asif Munir ; Azeem Shahzad ; Masood Khan
• 关键词：Convective heat transfer ; Sisko fluid ; Wedge flow
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：38
• 期：2
• 页码：581-587
• 全文大小：748 KB
• 参考文献：1.Falkner VM, Skan SW (1931) Some approximate solutions of the boundary layer equations. Philos Mag 12:865–896CrossRef
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  5.Kuo BL (2005) Heat transfer analysis for the Falkner–Skan wedge flow by the differential transformation method. Int J Heat Mass Transf 48:5036–5046MATH CrossRef
  6.Liao SJ (2002) Analytic solutions of the temperature distribution in Blasius viscous flow problems. J Fluid Mech 453:411–425MATH MathSciNet CrossRef
  7.Sisko AW (1958) The flow of lubricating greases. Ind Eng Chem Res 50:1789–1792CrossRef
  8.Kim YJ (2001) The Falkner-Skan wedge flows of power-law fluids embedded in a porous medium. Transp Porous Media 44:267–279CrossRef
  9.Chen JLS, Radulovic PT (1973) Heat transfer in non-Newtonian flow past a wedge with non-isothermal surfaces. J Heat Transf 95:498–503CrossRef
  10.Postelnicu A, Pop I (2011) Falkner-Skan boundary layer flow of a power-law fluid past a stretching wedge. Appl Math Comput 9:4359–4368MathSciNet CrossRef
  11.Rashidia MM, Rastegaria MT, Asadia M, Bég OA (2012) A study of non-Newtonian flow and heat transfer over a non-isothermal wedge using the homotopy analysis method. Chem Eng Commun 199:231–256CrossRef
  12.Hassanien IA, Abdullah AA, Gorla RSR (1998) The Falkner-Skan wedge flows of power-law fluids embedded in a porous medium. Math Comput Model 28:105–116MATH MathSciNet CrossRef
  13.Khan M, Shahzad A (2012) Falkner-Skan boundary layer flow of a Sisko Fluid. Zeitschrift für Naturforschung 67(8):469–478
  14.White FM (2011) Viscous fluid flow. Mc Graw Hill, New Dehli
  15.Na TY (1979) Computational methods in engineering boundary value problems, Academic Press, Inc., London
  
• 作者单位：Asif Munir (1)
  Azeem Shahzad (1)
  Masood Khan (1)
  
  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

In this article the convective flow of Sisko fluid past a wedge under the variable free stream velocity is analyzed. Viscous dissipation effects are also taken into account. The effects of shear thinning and thickening on flow and heat transfer are analyzed in depth. The influence of the wedge angle parameter on flow and heat transfer is spanned from stagnation point down through flat plate flow to the separation point. Employing the suitable transformations the governing equations are reduced to a system of nonlinear ordinary differential equations. The resulting equations are then solved numerically by implicit difference method in the domain [0, ∞). The numerical results for the velocity and temperature fields are graphically presented and effects of the relevant parameters are discussed in detail. In addition, the displacement thickness, momentum thickness, skin-friction coefficient, and local Nusselt number for different values of the pressure gradient parameter are calculated in tabulated form. Further, the present results are also validated by comparing with the previous pertinent literature.