Solutal Stratification Parameters Research Articles

The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate

The problem of double stratification on boundary layer flow and heat transfer induced due to a nanofluid over a vertical plate is investigated. The transport equations employed in the analysis include the effect of Brownian motion, thermophoresis, thermal stratification and solutal stratification parameters. The non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms by similarity variables. The resulting systems of equations are then solved numerically using Keller-box method. The solution for the temperature and nanoparticle concentration depends on parameters viz. thermal and solutal stratification parameters, Prandtl number Pr, Lewis number Le, Brownian motion Nb, buoyancy ratio parameter Nr and the thermophoresis parameter Nt. Numerical results are obtained for velocity, temperature and concentration distribution as well as the local Nusselt number and Sherwood number. It is found that the local Nusselt number and Sherwood number decrease with an increase in stratification parameters ɛ1 and ɛ2. However, the skin friction coefficient f″(0) increases with an increase in mass stratification parameter ɛ2 and decreases with an increase in thermal stratification parameter ɛ1.The obtained results are displayed both graphically tabular form to illustrate the effect of the stratification parameters on the dimensionless velocity, wall temperature and concentration. The numerical results are compared and found to be in good agreement with previous published result on special cases of the problem.

Natural Convection Heat and Mass Transfer in a Micropolar Fluid with Thermal and Mass Stratification

The effects of thermal and solutal stratification on natural convection along a vertical plate embedded in a micropolar fluid are analyzed in both cases of buoyancy-assisting and buoyancy-opposing flows. 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, 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.

Effect of double stratification on MHD free convection in a micropolar fluid

This paper analyzes the flow and heat and mass transfer characteristics of the free convection on a vertical plate with variable wall temperature and concentration in a doubly stratified micropolar fluid. A uniform magnetic field is applied normal to the plate. The governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and 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 non-dimensional velocity, microrotation, temperature and concentration are presented graphically for various values of magnetic parameter, coupling number, thermal and solutal stratification parameters. In addition, the Nusselt number, the Sherwood number, the skin-friction coefficient, and the wall couple stress are shown in a tabular form.

Effect of Double Stratification on Mixed Convection in a Micropolar Fluid

The effects of thermal and solutal stratification on mixed convection heat and mass transfer along a vertical plate embedded in a micropolar fluid has been studied. 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 effect of coupling number, mixed convection parameter and double stratification parameters on local skin-friction and wall couple stress coefficients are discussed. An analysis of the results obtained shows that the flow field is influenced appreciably by coupling number, mixed convection parameter, thermal and solutal stratification parameters. Keywords: Mixed convection; Micropolar fluid; Thermal and Solutal Stratification. 2010 Mathematics Subject Classification: 76R05; 76R10; 76A05; 76N20.

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

AbstractThe 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. © 2011 Canadian Society for Chemical Engineering