Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

Abstract

This paper is concerned with analytical solution of one-dimensional unsteady laminar boundary layer MHD flow of a viscous incompressible fluid past an exponentially accelerated infinite vertical plate in presence of transverse magnetic field. The vertical plate and the medium of flow are considered to be porous. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydromagnetic effects. The governing boundary layer equations are first converted to dimensionless form and then solved by Laplace transform technique. Numerical values of transient velocity, temperature, skin friction, and Nusselt number are illustrated and are presented in graphs for various sets of physical parametric values, namely, Grashof number, accelerating parameter, suction parameter, permeability parameter, radiation parameter, magnetic parameter, and time. It is found that the velocity decreases with increases of the suction parameter for both cases of cooling and heating of the porous plate whereas skin friction increases with increase of suction parameter.

Transient natural convective flow of a radiative viscous incompressible fluid past an exponentially accelerated porous plate with chemical reaction species

“…The results are illustrated graphically through MATLAB, and the variation of skin friction, Nusselt number, and Sherwood number with multiple values of the suitable parameters are exhibited through tables. Besides, a comparison of the existing results with that of the previous author Paul 27 was made in Figure 20, and they are in good agreement.…”

“…Fluid suction is a technique by which separation of the boundary layer can be prevented while maintaining the laminar nature of the flow. The combination of fluid suction or fluid injection with heat transfer makes the study more intriguing studied by Ahmed et al, 23 Jha et al, 24 Parida et al, 25 and Ajibade et al 26 Paul 27 has used the Laplace transform technique to obtain an exact analytical solution of MHD flow, depending on time, with fluid suction influenced by thermal radiation. The analysis revealed that radiation or suction enhanced the heat transfer rate near the plate surface.…”

“…Thus, our objective is to extend the work of Paul 27 by considering a heat source in the energy equation and a diffusive species undergoing a first‐order chemical reaction in the presence of suction/blowing. For a more accurate result, an exact closed‐form solution of the model equations was achieved with the usage of the Laplace transform technique via Bromwich contour integration manually for unit Prandtl and Schmidt numbers.…”

The Unsteady Free Convective Flow over Rotating Disk under the Existence of Chemical Reaction, Soret and Dufour Effects

“…The basis of their mathematical model was Finite Element Method. The MHD free convection was noted under different temperatures by Paul [5] on an exponentially accelerated porous plate. Laplace transform technique was used by him.…”

Chemical Reaction and Radiation Effects on Unsteady MHD Convective flow Through a Porous Medium in the Presence of Heat Absorption

“…Rajput and Gaurav Kumar 12 analysed hall current effects on unsteady magneto hydro dynamic flow past an impulsively started inclined oscillating plate with variable temperature and mass diffusion . Ashish Paul 13 gave analytical solution of one-dimensional unsteady laminar boundary layer MHD flow of a viscous incompressible fluid past an exponentially accelerated infinite vertical porous plate in presence of transverse magnetic field. Prema and Muthucumaraswamy 14 examined the effects of the thermal radiation effects on unsteady free convective flow of a viscous incompressible flow past an exponentially accelerated infinite vertical plate with variable temperature and mass diffusion By influencing the above studies we analysed the effect of Radiation parameter on unsteady free convection flow of an electrically conducting fluid past an exponentially accelerated infinite vertical plate with constant heat flux through a porous medium under the influence of uniform magnetic field fixed to the fluid or to the plate in the presence of chemical reaction and heat absorption.…”