Coupled heat and mass transfer by MHD natural convection of micropolar fluid about a truncated cone in the presence of radiation and chemical reaction
DOI:
https://doi.org/10.3329/jname.v10i2.15898Abstract
An analysis is performed to study the thermal radiation and chemical reaction effects on coupled heat and mass transfer by MHD natural convective boundary-layer flow of a micropolar fluid over a permeable truncated cone with variable surface temperature and concentration. A suitable set of dimensionless variables is used to transform the governing equations of the problem into a non-similar form. The resulting non-similar equations have the property that they reduce to various special cases previously considered in the literature. An adequate and efficient implicit, tri-diagonal finite difference scheme is employed for the numerical solution of the obtained equations. Various comparisons with previously published work are performed and the results are found to be in excellent agreement. A representative set of numerical results for the velocity, microrotation, temperature and concentration profiles as well as the local skin-friction coefficient, local wall couple stress, local Nusselt number and the local Sherwood number is presented graphically for various parametric conditions and discussed.
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Ariman, T., Turk, M.A. and Sylvester, N.D. (1973): Microcontinuum fluid mechanics-a review, International Journal of Engineering Science, Vol. 11, No. 8, pp. 905-930. doi:10.1016/0020-7225(73)90038-4
Ariman, T., Turk, M.A. and Sylvester, N.D., (1974): Applications of microcontinuum fluid mechanics, International Journal of Engineering Science, Vol. 12, No. 4, pp. 273-293. doi:10.1016/0020-7225(74)90059-7
Blottner, F.G. (1970): Finite-difference methods of solution of the boundary-layer equations, AIAA Journal, Vol. 8, No. 2, pp. 193-205. doi:10.2514/3.5642
Chamkha, A.J. (2001): Coupled heat and mass transfer by natural convection about a truncated cone in the presence of magnetic field and radiation effects, Numerical Heat Transfer, Part A, Vol. 39, No. 5, pp. 511-530. doi: 10.1080/104077801750111601
Chamkha, A.J., Mohamed, R.A. and Ahmed, S.E. (2011): Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and radiation effects, Meccanica, vol. 46, No. 2, pp. 399-411. doi:10.1007/s11012-010-9321-0
Chang, C.-L. (2008): Numerical simulation for natural convection of micropolar fluids flow along slender hollow circular cylinder with wall conduction effect, Communications in Nonlinear Science and Numerical Simulation, Vol. 13, No. 3, pp. 624-636. doi:10.1016/j.cnsns.2006.05.012
Cheng, C.Y. (2008): Natural convection of a micropolar fluid from a vertical truncated cone with power-law variation in surface temperature, International Communications in Heat and Mass Transfer, Vol. 35, No. 1, pp. 39-46. doi:10.1016/j.icheatmasstransfer.2007.05.018
Damseh, R.A., Al-Odat, M.Q., Chamkha, A.J. and Shannak, B.A. (2009): Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface, Int. J. Thermal Sciences, Vol. 48, No. 8, pp. 1658-1663. doi:10.1016/j.ijthermalsci.2008.12.018
EL-Kabeir, S.M.M. (2004): Radiative effects on forced convection flows in micropolar fluids with variable viscosity, Can. J. Phys., Vol. 82, No. 2, (2004) pp. 151-165. doi:10.1139/p03-085
EL-Kabeir, S.M.M. (2005): Hiemenz flow of a micropolar viscoelastic fluid in hydromagnetics, Can. J. Phys., Vol. 83, No. 10, pp. 1007-1017. doi:10.1139/p05-039
EL-Kabeir, S.M.M. and Modather, M. (2007): Chemical reaction, heat and mass transfer on MHD flow over a vertical isothermal cone surface in micropolar fluids with heat generation/absorption, Applied Mathematical Sciences, Vol. 1, No. 34, pp. 1663 -1674.
EL-Kabeir, S.M.M., Chamkha, A.J. and Rashad, A.M. (2010): Heat and mass transfer by MHD stagnation-point flow of a power-law fluid towards a stretching surface with radiation, chemical reaction and Soret And Dufour effects, International Journal of Chemical Reactor Engineering, Vol. 8, No. 1, pp. 1-18. doi:10.2202/1542-6580.2396
EL-Kabeir, S.M.M., Rashad, A.M. and Gorla, R.S.R. (2011): Heat Transfer in a micropolar fluid flow past a permeable continuous moving surface, ZAMM, Vol. 91, Issue 5, (2011) 360-370. doi:10.1002/zamm.200800049
Erigen, A.C. (1966): Theory of micropolar fluids, Journal of Mathematics and Mechanics, Vol. 16, pp. 1-18.
Erigen, A.C. (1972): Theory of the momicropolar fluids, Journal of Mathematical Analysis and Application, Vol. 38, pp. 480-496.
Kishan, N. and Amrutha, P. (2011): Effects of viscous dissipation on MHD flow with heat and mass transfer over a stretching surface with heat source, thermal stratification and chemical reaction, Journal of Naval Architecture and Marine Engineering, Vol. 7, No. 1, pp. 11-18. doi: 10.3329/jname.v7i1.3254
Modather, M., Rashad, A.M. and Chamkha, A.J. (2009): An analytical study On MHD heat and mass transfer oscillatory flow of micropolar fluid over a vertical permeable plate in a porous medium, Turkish J. Eng. Env. Sci., Vol. 33, pp. 245-257.
Pal, D. (2011): Combined effects of non-uniform heat source/sink and thermal radiation on heat transfer over an unsteady stretching permeable surface, Commun Nonlinear Sci Numer Simulat., Vol. 16, No. 4, pp. 1890-1904. doi:10.1016/j.cnsns.2010.08.023
Pal, D., and Chatterjee, S. (2010): Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation, Commun. Nonlinear Sci. Numer. Simulat., Vol. 15, No. 7, pp. 1843-1857. doi:10.1016/j.cnsns.2009.07.024
Rashad, A.M. (2013): Effects of radiation and variable viscosity on unsteady MHD flow of a rotating fluid from stretching surface in porous Medium, Journal of the Egyptian Mathematical Society (In Press). doi:http:10.1016/j.joems.2013.05.008
Rashidi, M.M., Mohimanian, S.A. and Abbasbandy, S. (2011): Analytic approximate solutions for heat transfer of a micropolar fluid through a porous medium with radiation, Commun Nonlinear Sci Numer Simulat., Vol. 16, No. 4, pp. 1874-1889. doi:10.1016/j.cnsns.2010.08.016
Rees, D.A.S. and Bassom, A.P. (1996): The Blasius boundary-layer flow of a micropolar ?uid, Int. J. Engrg. Sci., Vol. 34, No. 1, pp. 113-124. doi:10.1016/0020-7225(95)00058-5
Yih, K.A. (1999): Effect of radiation on natural convection about a truncated cone, Int. J. Heat Mass Transfer, Vol. 42, No. 23, pp. 4299-4305. doi:10.1016/S0017-9310(99)00092-7
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