Non-Darcy Natural Convection from a Vertical Plate with a Uniform Wall Temperature and Concentration in a Doubly Stratified Porous Medium
D. Srinivasacharya, O. Surender
National Institute of Technology, Warangal, Telangana-506004, India
Keywords: естественная конвекция, стратифицированная среда, закон Дарси - Форхгеймера, natural convection, stratified medium, Darcy-Forchheimer law
Abstract
In this paper, non-similarity solutions for natural convection heat and mass transfer along a vertical plate with a uniform wall temperature and concentration in a doubly stratified porous medium saturated by a fluid are obtained. The Darcy--Forchheimer-based model is employed to describe the flow in the porous medium. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by using pseudo-similarity variables. The resulting system of nonlinear partial differential equations is then solved numerically by using the Keller-box method. The effects of the buoyancy parameter, Forchheimer number, and thermal and solutal stratification parameters on the dimensionless velocity, temperature, concentration, and heat and mass transfer coefficients are studied.
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