Mixed Convection Flow along a Stretching Cylinder in a Thermally Stratified Medium

An analysis for the axisymmetric laminar boundary layer mixed convection flow of a viscous and incompressible fluid towards a stretching cylinder immersed in a thermally stratified medium is presented in this paper. Similarity transformation is employed to convert the governing partial differential equations into highly nonlinear ordinary differential equations. Numerical solutions of these equations are obtained by a shooting method. It is found that the heat transfer rate at the surface is lower for flow in a thermally stratified medium compared to that of an unstratified medium. Moreover, both the skin friction coefficient and the heat transfer rate at the surface are larger for a cylinder compared to that for a flat plate.

[1]  T. Hayat,et al.  Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet , 2007 .

[2]  L. Crane Flow past a stretching plate , 1970 .

[3]  I. Pop,et al.  UNSTEADY MIXED CONVECTION BOUNDARY LAYER FLOW DUE TO A STRETCHING VERTICAL SURFACE , 2006 .

[4]  L. J. Grubka,et al.  Heat Transfer Characteristics of a Continuous, Stretching Surface With Variable Temperature , 1985 .

[5]  P. S. Gupta,et al.  Heat and mass transfer on a stretching sheet with suction or blowing , 1977 .

[6]  Y. Cheng,et al.  Laminar free convection from a nonisothermal plate immersed in a temperature stratified medium , 1972 .

[7]  Y. Shih,et al.  Buoyancy effects on the laminar boundary layer heat transfer along vertically moving cylinders , 1981 .

[8]  Y. Shih,et al.  Laminar boundary layer heat transfer along static and moving cylinders , 1980 .

[9]  M. Ali,et al.  Heat transfer characteristics of a continuous stretching surface , 1994 .

[10]  R. Eichhorn,et al.  Natural Convection From a Vertical Surface to a Thermally Stratified Fluid , 1976 .

[11]  B. K. Dutta,et al.  Temperature field in flow over a stretching sheet with uniform heat flux , 1985 .

[12]  Cha'o-Kuang Chen,et al.  Heat transfer of a continuous, stretching surface with suction or blowing , 1988 .

[13]  Y. Jaluria,et al.  Stability and transition of buoyancy-induced flows in a stratified medium , 1974, Journal of Fluid Mechanics.

[14]  R. Cortell Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid over a stretching sheet , 2006 .

[15]  Shijun Liao,et al.  Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate , 2005 .

[16]  I. Pop,et al.  MHD boundary-layer flow due to a moving extensible surface , 2008 .

[17]  R. Cortell Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing , 2005 .

[18]  I. Pop,et al.  Mixed convection boundary layer flow adjacent to a vertical surface embedded in a stable stratified medium , 2008 .

[19]  T. Hayat,et al.  Series solution for the upper-convected Maxwell fluid over a porous stretching plate , 2006 .

[20]  Roslinda Mohd. Nazar,et al.  Laminar boundary layer flow along a stretching cylinder , 2009 .