Thermal Radiation Effects on an Unsteady MHD Couette Flow of High Prandtl Number Fluids between Concentric Cylinders in the Presence of Porous Medium

P. Loganathan(1*), Nirmal Chand Peddisetty(2)

(1) Associate Professor in the Department of Mathematics, Anna University, India
(2) Department of mathematics, Anna University, Chennai, India
(*) Corresponding author

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Due to considerable applications in transportation and lubrication engineering and limited research on high Prandtl number fluids, this study investigates radiation and viscous heating effects on Couette flow of high Prandtl number fluids through a porous medium in the presence of a transverse applied magnetic field. The transient velocity and temperature profiles generated under the influence of viscous heating have been calculated. Numerical solutions are obtained for the governing momentum and energy equations by considering viscous dissipation effects. The governing partial differential equations of the flow are solved by employing an implicit finite difference scheme of Crank-Nicolson type. In the steady state the presence of porous medium produces higher temperatures for sufficiently low permeability and skewed temperature profiles are observed for medium permeability with high temperature gradients at all times. The particular solutions of the present investigation are compared with the available published results and are found to be in excellent agreement
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Couette Flow; Viscosity; Porous Medium; Magnetic Field; Radiation

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D. D. Joseph, Variable viscosity effects on the flow and stability of flow in channels and pipes, Physics of Fluids, Vol.7, n.11, pp. 1761-1771, 1964

J. R. A. Pearson, Variable viscosity flows in channels with high heat generation, Journal of Fluid Mechanics, Vol. 83, n.1,pp. 191-206, 1977.

H. Ockendon, Channel flow with temperature-dependent viscosity and internal viscous dissipation. Journal of Fluid Mechanics, Vol. 93, pp. 737-746, 1979.

H. H. Winter, Viscous dissipation in shear flows of molten polymers, Advances in Heat Transfer Vol. 13, pp. 205-216, 1977

E. R. G. Eckert, M. Faghri, Viscous heating of high Prandtl number fluids with temperature-dependent viscosity, Heat and Mass Transfer , Vol. 29, n. 8, pp.1177-1183,1986.

J. Daskalakis, Couette flow through a porous medium of high Prandtl number fluid with temperature-dependent viscosity, International Journal of Energy Research, Vol. 14, n. 1, pp. 21-26, 1990.

N. Epstein, R. J. Bianchi, V. T. Y. Lee, B. Michael, Eccentric laminar Couette flow of long cylindrical capsules, Canadian Journal of Chemical Engineering, Vol. 52, n. 2, pp. 210-214, 1974.

S. K. Bharghava, N. C. Sacheti, Heat transfer in generalized Couette flow of two immiscible Newtonian fluids through porous channel: use of Brinkman model, Indian Journal of Technology Vol. 27, pp. 211-214, 1989

A.V. Kuznetsov, Analytical investigation of heat transfer in Couette flow through a porous medium utilizing the Brinkman-Forchheimer-extended Darcy model, Acta Mechanica, Vol. 129 pp. 13-24, 1998

Loganathan, P., Iranian, D., Ganesan, P., Heat generation effects on unsteady natural convective flow over a vertical plate with variable viscosity, (2012) International Review of Mechanical Engineering (IREME), 6 (1), pp. 120-127.

H. S. Takhar, M. A. Ali, V. M. Soundalgekar, The effect of radial temperature gradient and axial magnetic field on the stability of Couette flow: The narrow gap problem, International Journal of Energy Research,Vol.16, n. 7, pp. 597-621, 1992

D. S. Chauhan, R. Priyanka, Heat transfer effects on rotating MHD Couette flow in a channel partially filled by a porous medium with Hall current, Journal of Applied Science Engineering, Vol. 15, n. 3, pp. 281-290, 2012

V. M. Soundalgekar, H. S. Takhar, Radiation Effects on Free Convection Flow Past a Semi-Infinite Vertical Plate, Modelling Measurement and Control,Vol. B51, pp. 31-40, 1993.

W. G. England, A. F. Emery, Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas. Journal of Heat Transfer, Vol. 91, n. 1, pp. 37–44, 1969.

P. Ganesan, P. Loganathan, V. M. Soundalgekar, Radiation effects on flow past an impulsively started infinite vertical plate, International Journal of Applied Mechanics and Engineering, Vol. 6, n. 3, pp. 719-730,2001

P. Loganathan, P. Nirmal chand, P. Ganesan, Radiation effects on an unsteady natural convective flow of a nanofluid past an infinite vertical plate, NANO, Vol. 8, n. 1, pp. 1350001-1350010, 2013

P. Loganathan, P. Nirmal chand, P. Ganesan, Radiation effects on an unsteady MHD natural convective flow of a nanofluid past a vertical plate, Thermal Science, doi: 10.298/TSC 21208155P, 2013

M. A. A. Mahmoud, Thermal radiation effect on unsteady MHD free convection flow past a vertical plate with temperature-dependent viscosity, Canadian Journal of Chemical Engineering, Vol. 87, n. 1, pp. 47-52, 2009

Ganesan, P., Loganathan, P., Suganthi, R.K., Viscous dissipation effects in a free convective flow over vertical plate with radiation and chemical reaction, (2012) International Review of Mechanical Engineering (IREME), 6 (3), pp. 357-363.

M. Q. Brewster, Thermal radiative transfer and properties (Wiley, New York,1992)

V. M. Soundalgekar, P. Ganesan, Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate, International Journal of Engineering Science,Vol. 19, n. 6, pp. 757–770,1981.

Srinivasacharya, D., Swamy Reddy, G., Soret and Dufour effects on natural convection in power-law fluid saturated porous medium, (2012) International Review of Mechanical Engineering (IREME), 6 (3), pp. 397-404.

Amoresano, A., Quaremba, G., Niola, V., Experimental characterization of a pressure swirl atomizer working with high viscous fluids, (2012) International Review of Mechanical Engineering (IREME), 6 (6), pp. 1123-1124.

Loganathan, P., Sivapoornapriya, C., Unsteady natural convective flow over an impulsively started semi-infinite vertical plate in the presence of porous medium, (2013) International Review of Mechanical Engineering (IREME), 7 (7), pp. 1314-1322.

Benerji Babu, A., Ravi, R., Tagare, S.G., Anilkumar, D., Linear and weakly nonlinear thermohaline convection in a sparsely packed porous medium between stress-free boundaries, (2012) International Review on Modelling and Simulations (IREMOS), 5 (6), pp. 2484-2500.

Sammouda, M., Gueraoui, K., Driouich, M., Ghouli, A., Dhiri, A., Double diffusive natural convection in non-darcy porous media with non-uniform porosity, (2013) International Review of Mechanical Engineering (IREME), 7 (6), pp. 1021-1030.

Sammouda, M., Gueraoui, K., Driouich, M., El-Hammoumi, A., Iben Brahim, A., Non-Darcy natural convection heat transfer along a vertical cylinder filled by a porous media with variable porosity, (2012) International Review of Mechanical Engineering (IREME), 6 (4), pp. 698-704.


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