On the Effectiveness of Porosity on Unsteady Mixed Convection Flow along an Infinite Vertical Porous Plate with Heat and Mass Transfer

Hazem Ali Attia

doi:10.6180/jase.2011.14.4.01

On the Effectiveness of Porosity on Unsteady Mixed Convection Flow along an Infinite Vertical Porous Plate with Heat and Mass Transfer

Mathematics / Statistics

Hazem Ali Attia This email address is being protected from spambots. You need JavaScript enabled to view it.¹

¹Department of Eng. Math. and Physics, Fac. of Eng., El-Fayoum University, El-Fayoum, Egypt

Received: April 10, 2006
Accepted: April 13, 2007
Publication Date: December 1, 2011

Download Citation: ||https://doi.org/10.6180/jase.2011.14.4.01

ABSTRACT

In the present paper the unsteady laminar three-dimensional flow with mass and heat transfer of a viscous incompressible fluid with foreign mass along an infinite vertical porous plate in a porous medium. The vertical plate is assumed to be porous and is subjected to a periodic suction and oscillating free stream. The governing equations are solved using separation of variables and the successive perturbation techniques. The effect of the various physical parameters on the velocity, temperature and mass concentration distributions are discussed.

Keywords: Mixed Convection, Porous Medium, Vertical Plate, Heat Transfer, Mass Transfer

REFERENCES

[1] Gersten, K. and Gross, J. F., “Flow and Heat Transfer along a Plane Wall with Periodic Suction,” ZAMP, Vol. 25, pp. 399408 (1974).
[2] Soundalgekar, V. M. and Wavre, P. D. “Unsteady Free Convection Flow Past an Infinite Vertical Plate with Variable Suction and Mass Transfer,” Int. J. Heat Mass Transfer, Vol. 20, pp. 13751380 (1977).
[3] Soundalgekar, V. M. and Wavre, P. D., “Unsteady Free Convection Flow Past an Infinite Vertical Plate with Constant Suction and Mass Transfer,” Int. J. Heat Mass Transfer, Vol. 20, pp. 13631374 (1977).
[4] Bansal, J. L., Dave, A. and Jat, R. N., “Heat, Mass and Momentum Transfer in Unsteady Hydromagnetic Free Convection Flow Past an Accelerated Vertical Plate,” Proc. Natn. Acad. Sci. India, Vol. 60(A), pp. 211226 (1990).
[5] Singh, K. D., Verma, G. N. and Kumar, S., “Effect of Mass Transfer on Three-Dimensional Unsteady Forced and Free Convective Flow Past an Infinite Vertical Plate with Periodic Suction,” Proc. Natn. Acad. Sci. India, Vol. 65(A), pp. 293308 (1995).
[6] Sharma, P. R. and Mishra, U., “Effects of Mass Transfer on Unsteady MHD Flow and Heat Transfer Past an Infinite Porous Vertical Moving Plate,” Ind. J. Theo. Phys., Vol. 50, pp. 109115 (2002).
[7] Abdel-Naby, M. A., “Finite Difference Solution of Radiation Effects on MHD Unsteady Free Convection Flow over Vertical Plate with Variable Surface Temperature,” JAM, Vol. 2, pp. 6586 (2003).
[8] Sarangi, K. C. and Jose, C. B., “Unsteady MHD Free Convection Flow and Mass Transfer through Porous Medium with Variable Suction and Constant Heat Flux,” J. Indian Acad. Math., Vol. 26, pp. 115126 (2004).
[9] Zakaria, M., ‘Thermal Boundary Layer Equation for MHD Flow of a Perfectly Conducting Fluid,” J. Appl. Math. Comput., Vol. 148, pp. 6779 (2004).
[10] Khaled, A. R. A. and Vafai, K., “The Role of Porous Media in Modeling Flow and Heat Transfer in Biological Tissues,” Int. J. Heat Mass Transf., Vol. 46, pp. 49895003 (2003).