Effects of Chemical Reaction on the Unsteady Free Convection Flow past an Infinite Vertical Permeable Moving Plate with Variable Temperature

Abstract

Analytical solutions for the effect of chemical reaction on the unsteady free convection flow past an infinite vertical permeable moving plate with variable temperature has been studied. The plate is assumed to move with a constant velocity in the direction of fluid flow. The highly nonlinear coupled differential equations governing the boundary layer flow, heat and mass transfer are solved using two-term harmonic and non-harmonic functions. The parameters that arise in the perturbation analysis are Prandtl number (thermal diffusivity), Schmidt number (mass diffusivity), Grashof number (free convection), modified Grashof number, Chemical reaction parameter (rate constant), Skin friction coefficient and Sherwood number (wall mass transfer coefficient). The study has been compared with available exact solution in the literature and they are found to be in good agreement. It is observed that: The concentration increases during generative reaction and decreases in destructive reaction. The concentration increases with decreasing Schmidt number. The effect of increasing values of K leads to a fall in velocity profiles. The velocity decreases with increasing values of the Schmidt number. An increase in modified Grashof number leads to an increase in velocity profiles. The skin friction increases with decreasing Schmidt number. In generative reaction the skin friction decreases and in destructive reaction the skin friction increases

The Effects of Thermal Stratification on Flow Past an Infinite Vertical Plate in Presence of Chemical Reaction

“…The non-dimensional governing equations ( 4)-( 6) with boundary conditions (7) are solved using Laplace's transform method for P r = 1. Hence, the expressions for concentration, velocity and temperature with the help of [12] and [13] are given by…”

“…[6] came up with an analytical solution to describe how fluid would flow past an infinite vertical plate that had been affected chemically. In their research, [7] and [8] look at what happens when a chemical reaction is applied to an infinite vertical plate under various conditions. [9] and [10] investigate the combined Effects of Chemical Reaction and Thermal stratification on MHD flow for vertical stretching surfaces.…”

Newtonian Heating Effect on Heat Absorbing Unsteady MHD Radiating and Chemically Reacting Free Convection Flow Past an Oscillating Vertical Porous Plate

“…MHD and chemical reaction effects on a free convection flow with variable temperature and mass diffusion were discussed by Rajesh [8]. El-Fayez [9] analyzed chemical reaction effect on an unsteady free convection flow past an infinite vertical permeable moving plate with variable temperature. Sehkar and Reddy [10] studied the effects of chemical reaction on MHD free convective oscillatory flow past a porous plate with viscous dissipation and heat sink.…”

Radiation and chemical reaction effects on MHD flow along a moving vertical porous plate

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