scholarly journals Combined Effect of Variable Permeability and Variable Magnetic field on MHD Flow past an inclined plate with exponential Temperature and Mass Diffusion with Chemical reaction through Porous media

Author(s):  
N. Pandya ◽  
M. S. Quraishi
2020 ◽  
Vol 65 (1) ◽  
pp. 79-95
Author(s):  
Gaurav Kumar

In the present paper, we study the effect of heat absorption on unsteady flow of a viscous, incompressible, electrically conducting fluid past an impulsively started inclined plate with variable wall temperature and mass diffusion in the presence of transversely applied uniform magnetic field and Hall current. Earlier we analyzed the effects of radiation and chemical reaction on MHD flow past a vertical plate with variable temperature and mass diffusion. We had obtained the results which were in agreement with the desired flow phenomenon. To study further, we are changing the model by considering heat absorption on fluid, and changing the geometry of the model. Here in this paper we are considering the plate positioned inclined from vertically plane and impulsively started with velocity u0. The temperature of plate and the concentration level near the plate is increase linearly with time. The governing equations involved in the present analysis are solved by the Laplace-transform technique. The results obtained have been analyzed with the help of graphs drawn for different parameters like thermal Grashof number, mass Grashof Number, Prandtl number, permeability parameter, Hall current parameter, heat absorption parameter, magnetic field parameter and Schmidt number. The numerical values obtained for skin-friction and Nusselt number have been tabulated. The results are found to be in a good agreement and the data obtained is in concurrence with the actual MHD fluid flow phenomenon.


The effects of heat source/sink and chemical reaction with mass diffusion on free convective incompressible viscous fluid flow past an accelerated vertical plate with magnetic field has been investigated. Laplace transformation method has been applied to solve the system of linear partial differential equations. The result is presented in form of complementary error function and exponential function. The effect of non dimensional parameters such as Schmidt number (Sc), Accelerated parameter (a), Chemical reaction parameter (K), Prandtl number (Pr), Magnetic field parameter (M), Mass Grashof number (Gm), Heat source/sink parameter (H), Thermal Grashof number (Gr) on temperature, concentration, velocity has been discussed with graphs.


Author(s):  
U. S. Rajput ◽  
Gaurav Kumar

Effects of rotation and chemical reaction on unsteady MHD flow past an impulsively started inclined plate with variable wall temperature and mass diffusion in the presence of Hall current is studied here. Earlier we [7] have studied radiation effect on unsteady MHD flow through porous medium past an oscillating inclined plate with variable temperature and mass diffusion in the presence of Hall current. We obtained the results which were in agreement with the desired flow phenomenon. To study further, we are changing the model by considering rotation and chemical reaction. The governing equations involved in the flow model are solved by the Laplace-transform technique. The results obtained have been analyzed with the help of graphs drawn for different parameters. The numerical values obtained for the drag at boundary and Sherwood number have been tabulated. Here too, the results are found to be in agreement with the actual flow.


2013 ◽  
Vol 18 (1) ◽  
pp. 259-267 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
V. Valliammal

An exact solution of an unsteady flow past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence of a transverse magnetic field has been studied. The plate temperature is raised to Tw and the species concentration level near the plate is also made to rise Cʹw . The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration profiles are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, time and a. It is observed that the velocity decreases with increasing the magnetic field parameter.


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