Heat Transfer in MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime
We consider unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in slip-flow regime. A uniform magnetic field acts perpendicular to the porous surface which absorbs the micropolar fluids with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using approximate method the expression for the velocity microrotation, and temperature are obtained.
A C Eringen, Simple microfluids, Int. J. Engng. Sci., vol. 2, pp. 205-217, 1964.
A C Eringen, Theory of micropolar fluids. J. Math. Mech., vol. 16, pp. 1-18, 1966.
A C Eringen, Theory of thermomicrofluids. J. Math. Anal. Appl., vol. 38, pp. 480-496, 1972.
T Ariman, M A Turk and N D Sylvester, Microcontinuum fluid mechanics – A review, Int. J. Engng. Sci., vol. 11, pp. 905-930, 1973.
R S R Gorla, Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux, Int. J. Engng. Sci., vol. 30, pp. 349-358, 1992.
D A S Rees and I Pop, Free convection boundary layer flow of a micropolar fluid from a vertical flat plate, IMA J. Appl. Math., vol. 61, pp. 179-197, 1998.
Singh Ajay Kumar, Numerical solution of unsteady free convection flow of an incompressible micropolar fluid past an infinite vertical plate with temperature gradient dependent heat source, J. Energy Heat and Mass Transfer, vol. 24, pp. 185-194, 2002.
P S Hiremath and P M Patil, Free convection effects on oscillatory flow of couple stress field through a porous medium, Acta Mech., vol. 98, pp. 143-158, 1993.
K A Helmy, MHD unsteady free convection flow past a vertical porous plate, ZAMM, vol. 98, pp. 255-270, 1998.
M A El-Hakiem, A A Mohammadein, S M M El-Kabeir and R S R Gorla, Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid, Int. Comm. Heat Mass Trans., vol. 26, pp. 219-227, 1999.
M F El-Amin, Magnetohydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction, J. Magn. Mater., vol. 234, pp. 567-574, 2001.
Y J Kim, Unsteady convection flow of micropolar fluids past a vertical plate embedded in a porous medium, Acta. Mech., vol. 148, pp. 105-116, 2001.
Y J Kim, Heat and mass transfer in MHD micropolar flow over a vertical moving plate in a porous medium. Trans. Porous Media, vol. 56, pp. 17-37, 2004.
Khandelwal K Anil, Gupta, Poonam and N C Jain, Effects of couple stresses on the flow through a porous medium with variable permeability in slip flow regime, Ganita, vol. 54, pp. 203-212, 2003.
P K Sharma and R C Chaudhary, Effect of variable suction on transient free convective viscous incompressible flow past a vertical plate with periodic temperature variations in slip flow regime, Emirates Journal of Engineering Research, vol. 8, pp. 33-38, 2003.
P K Sharma, Influence of periodic temperature and concentration on unsteady free convective viscous incompressible flow and heat transfer past a vertical plate in slip-flow regime, Matematicas: vol. XIII, pp. 51-62, 2005.