Numerical Simulation of Williamson Combined Natural and Forced Convective Fluid Flow between Parallel Vertical Walls with Slip Effects and Radiative Heat Transfer in a Porous Medium (original) (raw)
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The present investigation deals, heat and mass transfer characteristics with the effect of slip on the hydromagnetic pulsatile flow through a parallel plate channel filled with saturated porous medium. Based on the pulsatile flow nature, exact solution of the governing equations for the fluid velocity, temperature and concentration are obtained by using two term perturbation technique subject to physically appropriate boundary conditions. The expressions of skin friction, Nusselt number and Sherwood number are also derived. The numerical values of the fluid velocity, temperature and concentration are displayed graphically whereas those of shear stress, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. By increasing the slip parameter at the cold wall the velocity increases whereas the effect is totally reversed in the case of shear stress at the cold wall.
International Journal of Heat and Technology, 2016
This paper deals with the numerical investigation of simultaneous heat and mass transfer flow of a viscous, incompressible and radiating fluid along a vertical channel in a porous medium. The non-linear equations governing the flow for heat and mass transfer are solved by using a very efficient numerical scheme of Runge-Kutta Fehlberg fourth fifth (RK5-45) order method. The values of velocity, temperature, concentration, skin friction coefficient, rate of heat and mass transfer are found for different parameters involved in the formulation via magnetic, suction and slip parameters. It was found that the magnetic field and suction parameters have prominent effects on fluid flow, heat and mass transfer characteristics for the considered configuration.
Trends in Sciences, 2022
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The heat and mass transfer characteristics of the nonlinear, unsteady, radiative MHD boundary layer slip flow of a chemically reacting fluid past an infinite vertical porous plate are taken into account in this study. The effect of physical parameters are accounted for two distinct types of thermal boundary conditions namely prescribed uniform wall temperature thermal boundary condition and prescribed heat flux thermal boundary condition. Exact solution of the governing equations for the fluid velocity, temperature and concentration are obtained by using two term perturbation technique subject to physically appropriate boundary conditions. The expressions of skin friction, Nusselt number and Sherwood number are also derived. The numerical values of fluid velocity, temperature and concentration are displayed graphically whereas those of shear stress, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow paramet...
An analytical solution of an MHD free convective thermal diffusive flow of a viscous, incompressible, electrically conducting and heat-absorbing fluid past a infinite vertical permeable porous plate in the presence of radiation and chemical reaction is presented. The flow is considered under the influence of a magnetic field applied normal to the flow. The plate is assumed to move with a constant velocity in the direction of fluid flow in slip flow regime, while free stream velocity is assumed to follow the exponentially increasing small perturbation law. The velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number distributions are derived and have shown through graphs and tables by using the simple perturbation technique.
Heat and Mass Transfer in MHD Slip Flow through Inclined Vertical Porous Channel
Research Journal of Engineering and Technology, 2015
In this paper we have studied a free and forced convective flow of a v iscous incompressible fluid through a vertical porous channel bounded by two vertical p lates moving with same velocity but in opposite directions with slip parameters. The wall temperature and the mass concentration are assumed to be spanwise consinusoidal. Expressions for velocity, temperature and concentration profiles along with skin frict ion and Nusselt number are obtained and comparitive study is made to analyze the effects of different parameters. We observe that skin frict ion (|C f |) is lo wer for water (Pr = 7, Sc = 0.61) than for air (Pr = 0.71, Sc = 0.22).
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Forced convection gaseous slip flow in circular porous micro-channels
Transport in Porous Media, 2007
Laminar forced convection of gaseous slip flow in a circular micro-channel filled with porous media under local thermal equilibrium condition is studied numerically using the finite difference technique. Hydrodynamically fully developed flow is considered and the Darcy-Brinkman-Forchheimer model is used to model the flow inside the porous domain. The present study reports the effect of several operating parameters (Knudsen number (Kn), Darcy number (Da), Forchhiemer number (), and modified Reynolds number (Re * D)) on the velocity slip and temperature jump at the wall. Results are given in terms of the velocity distribution, temperature distribution, skin friction (C f Re * D), and the Nusselt number (Nu). It is found that the skin friction is increased by (1) decreasing Knudsen number, (2) increasing Darcy number, and (3) decreasing Forchheimer number. Heat transfer is found to (1) decrease as the Knudsen number, or Forchheimer number increase, (2) increase as the Peclet number or Darcy number increase. Nomenclature C Coefficient in the Forchheimer term C f Skin friction coefficient C p Constant pressure specific heat C v Constant volume specific heat D Diameter of the circular channel Da Darcy number (K/ε r 2 0) h Local heat transfer coefficient K Intrinsic permeability of the porous medium Kn Knudsen number (λ/r 0)
Abstract —In the present analysis, we study the two-dimensional unsteady MHD free convection laminar heat and mass transfer flow past a semi-infinite vertical porous plate embedded in a porous medium in a slip flow regime in presence of thermal radiation, heat source/sink and Soret effects. A magnetic field of uniform strength is assumed to be applied transversely to the direction of the main flow. Perturbation technique is applied to transform the non-linear coupled governing partial differential equations in dimensionless form into a system of ordinary differential equations. The equations are solved analytically and the solutions for the velocity, temperature and concentration fields are obtained. The effects of various flow parameters on velocity, temperature and concentration fields are presented graphically. For different values of the flow parameters involved in the problem, the numerical calculations for the skin-friction coefficient, Nusselt number and Sherwood number at the plate are performed in tabulated form.