Numerical Study of Free Convection in a Doubly Stratified Non-Darcy Porous Medium Using Spectral Quasilinearization Method

References

[1] D. A.Nield and A.Bejan, Convection in Porous Media, 4th edition, Springer-Verlag, New York, 2013.10.1007/978-1-4614-5541-7Search in Google Scholar

[2] O. D.Makinde and A.Ogulu, The effect of thermal radiation on the heat and mass transfer flow of a variable viscosity fluid past a vertical porous plate permeated by a transverse magnetic field, Chem. Eng. Commun. 195 (2008), 1575–1584.10.1080/00986440802115549Search in Google Scholar

[3] C. Y.Cheng, Soret and Dufour effects on natural convection heat and mass transfer from a vertical cone in a porous medium, Int. Commun. Heat Mass Transfer36 (2009), 1020–1024.10.1016/j.icheatmasstransfer.2009.07.003Search in Google Scholar

[4] D.Srinivasacharya and Ch.RamReddy, Heat and mass transfer by natural convection in a doubly stratified non-Darcy micropolar fluid, Int. Commun. Heat Mass Transfer37 (2010), 873–880.10.1016/j.icheatmasstransfer.2010.05.001Search in Google Scholar

[5] V. R.Prasad, B.Vasu, O. A.Beg and R. D.Parshad, Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime, Commun. Nonlinear Sci. Numer. Simul. 17 (2012), 654–671.10.1016/j.cnsns.2011.04.033Search in Google Scholar

[6] A. H.Srinivasa and A. T.Eswara, Unsteady free convection flow and heat transfer from an isothermal truncated cone with variable viscosity, Int. J. Heat Mass Transfer57 (2013), 411–420.10.1016/j.ijheatmasstransfer.2012.10.054Search in Google Scholar

[7] C. Y.Cheng, Combined heat and mass transfer in natural convection flow from a vertical wavy surface in a power-law fluid saturated porous medium with thermal and mass stratification, Int. Commun. Heat Mass Transfer36 (2009), 351–356.10.1016/j.icheatmasstransfer.2009.01.003Search in Google Scholar

[8] M.Neagu, Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium, Int. J. Heat Mass Transfer54 (2011), 2310–2318.10.1016/j.ijheatmasstransfer.2011.02.033Search in Google Scholar

[9] D.Srinivasacharya and Ch.RamReddy, Free convective heat and mass transfer in a doubly stratified non-Darcy micropolar fluid, Korean J. Chem. Eng. 28(9) (2011), 1824–1832.10.1007/s11814-011-0069-6Search in Google Scholar

[10] A. B.Rosmila, R.Kandasamy and I.Muhaimin, Lie symmetry group transformation for MHD natural convection flow of nanofluid over linearly porous stretching sheet in presence of thermal stratification, Appl. Math. Mech. – English Edition33(5) (2012), 593–604.10.1007/s10483-012-1573-9Search in Google Scholar

[11] P. V. S. N.Murthy, D.Srinivasacharya and P. V. S. S. S. R.Krishna, Effect of double stratification on free convection in Darcian porous medium, ASME J. Heat Transfer126 (2004), 297–300.10.1115/1.1667525Search in Google Scholar

[12] P. A.Lakshmi Narayana and P. V. S. N.Murthy, Soret and Dufour effects on free convection heat and mass transfer in a doubly stratified Darcy porous medium, J. Porous Media10 (2007), 613–623.10.1615/JPorMedia.v10.i6.70Search in Google Scholar

[13] B.Gebhart, Y.Jaluria, R.Mahajan and B.Sammakia, Buoyancy Induced Flows and Transport, USA: Hemisphere, 1988.10.1115/1.3226555Search in Google Scholar

[14] L.Prandtl, Essentials of Fluid Dynamics, Blackie, London, 1952.Search in Google Scholar

[15] Y.Jaluria and K.Himasekhar, Buoyancy induced two dimensional vertical flows in a thermally stratified environment, Comput. Fluids11 (1983), 39–49.10.1016/0045-7930(83)90012-9Search in Google Scholar

[16] R. E.Bellman and R. E.Kalaba, Quasilinearization and Nonlinear Boundary-Value Problems, Elsevier, New York, 1965.10.1109/TAC.1965.1098135Search in Google Scholar

[17] L. N.Trefethen, Spectral Methods in MATLAB, USA: SIAM, 2000.10.1137/1.9780898719598Search in Google Scholar