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Received January 5, 2011
Accepted March 16, 2011
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Free convective heat and mass transfer in a doubly stratified non-Darcy micropolar fluid
Department of Mathematics, National Institute of Technology, Warangal-506004, Andhra Pradesh, India
Korean Journal of Chemical Engineering, September 2011, 28(9), 1824-1832(9), 10.1007/s11814-011-0069-6
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Abstract
The flow, heat and mass transfer characteristics of the free convection on a vertical plate with uniform and constant heat and mass fluxes in a doubly stratified micropolar fluid saturated non-Darcy porous medium are studied. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by pseudo-similarity variables. The resulting system of equations is then solved numerically using the Keller-box method. The numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. The effects of the micropolar, Darcy, non-Darcy and stratification parameters on the dimensionless velocity, microrotation, wall temperature, wall concentration, local skin-friction coefficient and wall couple stress coefficient are presented graphically.
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Soundalgekar VM, Proceedings of Indian Academy of Science., 84A, 194 (1976)
Nield DA, Bejan A, Convection in porous media, 3rd Ed., Springer-Verlag, New York (2006)
Chung TJ, Kim MC, Choi CK, Korean J. Chem. Eng., 26(2), 332 (2009)
Gebhart B, Jaluria Y, Mahajan R, Sammakia B, Buoyancy lnduced flows and transport, Hemisphere Publishing Co. (1988)
Prandtl L, Essentials of fluid dynamics, Blackie, London (1952)
Jaluria Y, Himasekhar K, Comput. Fluids., 11, 39 (1983)
Murthy PVSN, Srinivasacharya D, Krishna PVSN, Trans. ASME J.Heat Transfer., 126, 476 (2004)
Rathish Kumar BV, Shalini, Appl. Math. Comput., 171, 180 (2005)
Lakshmi Narayana PA, Murthy PVSN, Trans. ASME, J. Heat Transfer., 128, 1204 (2006)
Lakshmi Narayana PA, Murthy PVSN, J. Porous Media., 10, 613 (2007)
Jaluria Y, Gebhart B, J. Fluid Mech., 66, 593 (1974)
Anwar Beg O, Zueco J, Takhar HS, Int. Commun. Heat Mass Transfer., 35, 810 (2008)
Yoon DY, Kim MC, Choi CK, Korean J. Chem. Eng., 20(1), 27 (2003)
Cheng CY, Int. Commum. Heat Mass Transfer., 36, 351 (2009)
Eringen AC, J. Math. Mech., 16, 1 (1966)
Lukaszewicz G, Micropolar fluids - Theory and applications., Birkhauser, Basel (1999)
Ahmadi G, Int. J. Eng. Sci., 14, 639 (1976)
Rees DAS, Pop I, IMA J. Appl. Math., 61, 179 (1998)
Hassanien IA, Essawy AH, Moursy NM, Appl. Math. Comput., 152, 323 (2004)
Abdulaziz O, Hashim I, Numerical Heat Transfer, Part A: Applications., 55, 270 (2009)
Zueco J, Anwar Beg O, Chang TB, Korean J. Chem. Eng., 26(5), 1226 (2009)
Awad F, Sibanda P, WSEAS Transactions on Heat and Mass Transfer., 5, 165 (2010)
Rahman MM, Aziz A, Al-Lawatia MA, Int. J. Therm. Sci., 49, 993 (2010)
Anuar I, Meccanica., 45, 367 (2010)
Bachok N, Ishak A, Nazar R, HEAPFL’10 Proceedings of the 2010 International Conference on Theoretical and Applied Mechanics, and 2010 International Conference on Fluid Mechanics and Heat and Mass Transfer., 26 (2010)
Srinivasacharya D, RamReddy C, Int. Review Chem. Eng., 3, 222 (2011)
Cebeci T, Bradshaw P, Physical and computational aspects of convective heat transfer., Springer-Verlag, New York (1984)
Jena SK, Mathur MN, Int. J. Eng. Sci., 19, 1431 (1991)
Cowin SC, Phys. Fluids., 11, 1919 (1968)
Lee SL, Chen TS, Armaly BF, ASME J. Heat Transfer., 109, 711 (1987)
