Abstract

An unsteady three dimensional flow in an incompressible viscous, chemically reacting fluid mixture due to a permeable rotating heated disk is studied by taking into account the effects of magnetic field, ohmic heating, viscous dissipation, chemical reaction and suction or injection. The system of non-linear partial differential equations governing the flow, heat and mass transfer is reduced to a system of nonlinear ordinary differential equations by using similarity transformations. The resulting system of ordinary coupled nonlinear differential equations is solved numerically by bvp4c and solutions are presented graphically. All numerical calculations are done with respect to air at 200C (Pr = 0. 71) in presence of Hydrogen (Sc = 0. 22). Numerical values of the local skin frictions and the rate of heat and mass transfers are shown in tables.

References

• Von Karman, T. 1921. Uber laminare und turbulente reibung, ZAMM - Journal of Applied Mathematics and Mechanics, 1(4), 233-252.
• Cochran, W. G. 1934. The flow due to a rotating disk, Proceedings of the Cambridge Philosophical Society, 30(3), 365-375.
• Wagner, C. 1948. Heat transfer from a rotating disk to ambient air, Journal of Applied Physics, 19, 837-839.
• Millsaps, K. and Pohlhausen, K. 1952. Heat transfer by laminar flow from a rotating plate, Journal of Aerospace Science, 19(2), 120-126.
• Benton, E. R. 1966. On the flow due to a rotating disk, Journal of Fluid Mechanics, 24(4), 781-800.
• Kuiken, H. K. 1971. The effect of normal blowing on the flow near a rotating disk of infinite extent, Journal of Fluid Mechanics. , 47(4), 789-798.
• Georges, L. P, 1989. Numerical study of convective heat transfer over a rotating rough disk with uniform wall temperature, Int. Com. in Heat and Mass Transfer, 16(1), 107-113.
• Cheng, W. T. and Lin, H. T. 1994. Unsteady and steady mass transfer by laminar forced flow against a rotating disk, Heat and Mass Transfer, 30(2), 101-108.
• Hassan, A. L. A. and Attia, H. A. 1997. Flow due to a rotating disk with Hall effect, Physics Letters A, 228 (4-5), 286-290.
• Alam, M. M. and Sattar, M. A. 1998. Unsteady MHD Free Convection and Mass Transfer Flow in a Rotating System with Thermal Diffusion, Journal of Energy Heat and Mass Transfer, 20, 77-87.
• Attia, H. A. 1998. Unsteady MHD flow near a rotating porous disk with uniform suction or injection, Fluid Dynamics Research, 23, 283-290.
• Takhar, H. S. , Singh, A. K. , Nath, G. 2002. Unsteady MHD flow and heat transfer on a rotating disk in an ambient fluid, Int. Journal of Thermal Sciences, 41, 147-155.
• Maleque, Kh. A. and Sattar, M. A. 2003. Transient Convective Flow Due to a Rotating Disc with Magnetic Field and Heat Absorption Effects, Journal of Energy, Heat and Mass Transfer, 25, 279-291.
• Attia, H. A. 2006. Unsteady flow and heat transfer of viscous incompressible fluid with temperature dependent viscosity due to a rotating disc in a porous medium, Journal of Physics and Applied Mathematics, 39, 979-991.
• Osalusi, E. , Side, J. , Harris, R. 2007. The effects of Ohmic heating and viscous dissipation on unsteady MHD and slip flow over a porous rotating disk, Int. Comm. Heat Mass Transfer, 34(9-10), 1017-1029.
• Sharma, B. R. and Singh, R. N. 2010. Thermal diffusion in a binary fluid mixture flow due to a rotating disk of uniform high suction in presence of a weak axial magnetic field, Theoret. Appl. Mechanics, 37(3), 161-187.
• Sibanda, P. and Makinde, O. D. 2010. On steady MHD flow and heat transfer past a rotating disk in a porous medium with ohmic heating and viscous dissipation, Int. Journal of Numerical Methods Heat Fluid Flow, 20(3), 269-285.
• Maleque, Kh. A. 2010. Dufour and Soret effects on unsteady MHD convective heat and mass transfer flow due to a rotating disk, Latin American applied Research, 40(2), pp. 105-111.
• Mustafa, T. 2012. MHD fluid flow and heat transfer due to a stretching rotating disk, Int. Journal of Thermal Sciences, 51, 195-201.
• Ahmed, A. Khidir. 2013. Viscous dissipation, Ohmic heating and radiation effects on MHD flow past a rotating disk embedded in a porous Medium with variable properties, Arab Journal of Mathematics , 2, 263-277.