An analysis is presented to investigate the effect of temperature-dependent viscosity on free convection flow along a vertical wedge adjacent to a porous medium in the presence of heat generation or absorption. The governing fundamental equations are transformed into the system of ordinary differential equations using scaling group of transformations and are solved numerically by using the fifth-order Rung-Kutta method with shooting technique for various values of the physical parameters. The effects of variable viscosity parameter on the velocity, temperature and concentration are discussed. Numerical results for the problem considered are given and illustrated graphically.
An analysis is presented to investigate the effect of temperature-dependent viscosity on free convection flow along a vertical wedge adjacent to a porous medium in the presence of heat generation or absorption. The governing fundamental equations are transformed into the system of ordinary differential equations using scaling group of transformations and are solved numerically by using the fifth-order Rung-Kutta method with shooting technique for various values of the physical parameters. The effects of variable viscosity parameter on the velocity, temperature and concentration are discussed. Numerical results for the problem considered are given and illustrated graphically.
A. M. Salem. Temperature-Dependent Viscosity Effects on Non-Darcy Hydrodynamic Free Convection Heat Transfer from a Vertical Wedge in Porous Media[J]. 中国物理快报, 2010, 27(6): 64401-064401.
A. M. Salem. Temperature-Dependent Viscosity Effects on Non-Darcy Hydrodynamic Free Convection Heat Transfer from a Vertical Wedge in Porous Media. Chin. Phys. Lett., 2010, 27(6): 64401-064401.
[1] Nield D and Bejan A 1999 Convection in Porous Media (New York: Springer) [2] Pop I and Ingham D B 2001 Convective Heat Transfer (Oxford: Pergamon) [3] Benenati R F and Brosilow C B 1962 AIChE J. 8 359 [4] Vafai K 1984 J. Fluid Mech. 147 233 [5] Vafai K et al 1985 J. Heat Transfer 107 642 [6] Chamkha A J 1997 Appl. Math. Model. 21 603 [7] Boutros Y Z et al 2006 Mechanica 41 681 [8] Salem A M 2006 Commun. Numer. Method Engin. 22 955 [9] Salem A M 2006 J. Korean Phys. Soc. 3 409 [10] Ling J X et al 1992 ASME J. Heat Transfer 114 1063 [11] Gary J et al 1982 J. Fluid Mech. 117 233 [12] Mehta K N and Sood S 1992 Int. J. Engin. Sci. 30 1083 [13] Soundalgekar V M et al 2004 Heat Mass Transfer 40 421 [14] Mukhopadhyay S, Layek G C and Samad S A 2005 Int. J. Heat Mass Transfer 48 4460 [15] Adams J K and Rogers D F 1973 Computer-ading Heat Transfer Analysis (New York: McGraw-Hill) [16] Elbashbeshy E M A and Bazid M A A 2004 Appl. Math. Comput. 153 721