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Journal of Porous Media

Impact factor: 1.035

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i6.40
pages 537-554

NON-DARCY MIXED CONVECTION IN A FLUID-SATURATED SQUARE POROUS ENCLOSURE UNDER SUCTION EFFECT: PART I

B. V. Rathish Kumar
Department of Mathematics and Statistics, Indian Institute of Technology, India
Somanchi V S S N V G Krishna Murthy
Department of Applied Mathematics, Defence Institute of Advanced Technology, Gririnagar, Pune 411025, India
Vivek Sangwan
Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India
Mohit Nigam
Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India
Peeyush Chandra
Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur 208016, India

ABSTRACT

In this study, volume-averaged equations governing the steady mixed convection flow in a vertical square enclosure filled with a non-Darcian fluid-saturated homogeneous porous medium are investigated numerically by the Galerkin finite element method. The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with suction on the top wall. The free convection is induced by introducing a hot but isothermal temperature on the left vertical wall together with Boussinesq approximation on density. Detailed numerical simulations are carried out for a wide range of governing parameters such as Grashof Number (Gr*), Rayleigh Number (Ra), suction/injection velocity (a), and suction/injection width (D/H) as a fraction of the length of the square enclosure.