Mixed convection in a doubly stratified micropolar fluid saturated non‐Darcy porous medium

Abstract

The effects of thermal and solutal stratification on mixed convection along a vertical plate embedded in a micropolar fluid saturated non-Darcy porous medium are analysed. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms by pseudo-similarity variables. The resulting system of equations is then solved numerically using the Keller-box method. The numerical results are compared and found to be in good agreement with previously published results as special cases of the present investigation. The velocity, microrotation, temperature and concentration profiles are shown for different values of the coupling number, non-Darcy parameter, mixed convection parameter, thermal and solutal stratification parameters. The numerical values of the skin friction, wall couple stress, heat and mass transfer rates for different values of governing parameters are also tabulated.

A spectral relaxation method for linear and non-linear stratification effects on mixed convection in a porous medium

“…It is remarked that the strong influence of thermal and solutal stratification on the temperature and concentration profiles in the boundary layer. The results are in tune with the observation made in references [Gebhart et al [7]; Prandtl [8]; Jaluria and Himasekhar [9]; Lakshmi Narayana and Murthy [11]; Murthy et al [12]; Srinivasacharya and RamReddy ( [16,17])].…”

“…Further, the comprehensive survey given by Gebhart et al [7] have shown that stratification enhances the local heat transfer rate and reduces the velocity and buoyancy levels. In the recent literature, the researchers reported that the temperature and concentration became negative in the boundary layer depending on the relative intensity of the thermal and solutal stratifications (e.g., readers can see the articles given by Rathish Kumar and Shalini [10], Lakshmi Narayana and Murthy [11], Murthy et al [12] and Srinivasacharya and RamReddy ( [16,17])). The mixed convection boundary layer flow through a stable stratified porous medium bounded by a vertical surface is investigated by Ishak et al [18].…”

Thermal Radiation and Chemical Reaction Effects on MHD Mixed Convection Heat and Mass Transfer in a Micropolar Fluid

“…Using the Boussinesq and boundary layer approimations, the governing equations for the micropolar fluid are given by [21,[3][4][5][6][7]: where u and v are the components of velocity along x -and y -directions respectively, p is the pressure, ω is the component of microrotation whose direction of rotation lies in the xy -plane, g * is the gravitational acceleration, T is the temperature, C is the concentration, β T is the coefficient of thermal expansion, β C is the coefficient of solutal expansion, C p is the specific heat capacity, B 0 is the coefficient of the magnetic field, µ is the dynamic coefficient of viscosity of the fluid, q r is the radiative heat flux, ρ is the density, κ is the vortex viscosity, j is the micro-inertia density, γ is the spin-gradient viscosity, σ is the magnetic permeability of the fluid, α is the thermal diffusivity, D is the molecular diffusivity and R * is rate of chemical reaction. The boundary conditions are:…”

“…The heat and mass transfer in micropolar fluids is also important in the context of chemical engineering, aerospace engineering and also industrial manufacturing processes. The problem of mixed convection heat and mass transfer in the boundary layer flow along a vertical surface submerged in a micropolar fluid has been studied by a number of investigators [3][4][5][6][7].…”

Influence of Viscous Dissipation on Free Convection in a Non-Darcy Porous Medium Saturated with Nanofluid in the Presence of Magnetic Field

“…The inertia effect is expected to be important at a higher flow rate and it can be accounted for through the addition of a velocity squared term in the momentum equation, which is known as the Forchheimer's extension. Analysis is conducted by several authors (viz., Kairi and Murthy [1]; Prasad and Hemalatha [2]; Kairi et al [3]; Murthy and El-Amin [4]; Srinivasacharya and RamReddy [5]; Srinivasacharya et al [6] etc.) in order to explore the importance of convective transport of an incompressible Newtonian/Non-Newtonian fluid saturated non-Darcy porous medium.…”