Three - Dimensional MHD Flow and Heat Transfer Through a Porous Medium with Periodic Permeability

Dr.G. Venkat Reddy; Dr.R. RaghavendraRao

doi:https://doi.org/10.14445/22315373/IJMTT-V34P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access

Volume 34 | Number 2 | Year 2016 | Article Id. IJMTT-V34P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P515

Three - Dimensional MHD Flow and Heat Transfer Through a Porous Medium with Periodic Permeability

Dr.G. Venkat Reddy, Dr.R. RaghavendraRao

Citation :

Dr.G. Venkat Reddy, Dr.R. RaghavendraRao, "Three - Dimensional MHD Flow and Heat Transfer Through a Porous Medium with Periodic Permeability," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 2, pp. 73-88, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P515

Abstract

A three - dimensional MHD flow and heat transfer of a viscous, incompressible, conducting fluid, through a semi infinite porous medium, in the presence of viscous dissipative heat, is considered. The porous medium is bounded by an infinite porous flat surface, kept at a uniform temperature. The cross flow (suction) velocity at the surface is assumed to be constant. A uniform magnetic field of strength (H0) is applied normal to the bounding surface. The expressions for the velocity, temperature profiles are obtained using the perturbation method. The expressions for shear stress and Nusselt number are derived from the velocity and temperature expressions. The numerical results are shown graphically for various parameters such as the velocity ratio parameter , Reynolds number (R), Prandtl number (P), Eckert number (E), the permeability parameter (K) and the Hartmann number (M). The skin friction factor F1 and the rate of heat transfer factor F2 are also obtained and numerical results are shown in graphs.

Keywords

MHD Flow, Heat Transfer, Porous Medium, Dissipative Heat.

References

[1] Rossow V.J., NACA - TN, 397, 1, 1957
[2] Sparrow E.M & Cess R. D., Journal of Ap. Mech, Trans. of ASME, 29, 1, P181, 1962
[3] Govindarajulu T. & Thangaraj C.J., J. Math, Phy. Sci., 26 (6) P559 – 567, 1992
[4] Singh K.D., ZAMM 73, 1, P586, 1993
[5] Singh K.D, Chand K.A. & Verma G.N., ZAMM 75, 12, P950 – 952, 1995
[6] Dr. Singh K. D. Jr., Rakesh Sharma, & Khem Chand, ZAMM, 80(7), P473 – 480, 2000
[7] Chaun , D.S : Coupled Stretching Flow through a channel bounded by a naturally permeable bed, Modeling, Measu. And Control, ASME Press41, 55(1993).
[8] Ming-I-Char : Heat and mass transfer in a hydromagnetic flow of the viscoelastic fluid over a stretching sheet, J. Math, Anal. Appl. 186,647(1994).
[9] Anderson H.J, 1992, Acta Mechanica, 95,p227-230
[10] Anderson, H.I : Flow of power law fluid over a stretching sheet, Appl. Anal. Continuos Media,1, 336(1992).