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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2017016909
pages 47-65

STRATIFICATION EFFECT ON FREE CONVECTIVE DARCY FOR CHHEIMER BOUNDARY LAYER FLOW UNDER MULTIPLE INTERACTING FORCES

Vinay Kumar
Department of Applied Mathematics, Defence Institute of Advanced Technology, Deemed University, Pune – 411025, India
S.V.S.S.N.V.G. Krishna Murthy
Department of Applied Mathematics, Defence Institute of Advanced Technology, Deemed to be University, *An Autonomous Organization, Department of Defence R & D, Ministry of Defence, Govt. of India* Pune – 411025, India
Frédéric Magoulès
Applied Mathematics and Systems Laboratory, Ecole Centrale Paris 92295 Chatenay Malabry Cedex, France
B. V. Rathish Kumar
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India

ABSTRACT

A mathematical model has been developed on heat and mass transfer processes in a two-dimensional magnetohydrodynamic (MHD) free convection boundary layer flow along a vertical semi-infinite flat surface immersed in a thermal and mass stratified non-Darcy porous medium under the influence of the Soret and Dufour effect. A Darcy–Forchheimer mathematical model governing the nonlinear partial differential equations are transformed into boundary layer equations by using a similarity transformation. The resulting boundary layer equations together with boundary conditions are solved numerically by an implicit finite difference scheme following the Keller box approach. The obtained results are compared to literature and found to be good in agreement and further the numerical simulations that have been done for various values of the parameters involved in the problem, such as Grashof number (Gr*), magnetic parameter (Mg), buoyancy ratio (B), Lewis number (Le), Soret (Sr) and Dufour (Df) numbers, presence of thermal (ST ) and mass (SC) stratification. Local and average Nusselt (Nu) number and Sherwood (Sh) number plots are presented graphically in all cases.


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