Hydrodynamic effect on the three‐dimensional flow past a vertical porous plate

Abstract

The study of unsteady hydrodynamic free convective flow of a viscous incompressible fluid past a vertical porous plate in the presence of a variable suction has been made. Approximate solutions have been derived for the velocity and temperature fields, shear stress, and rate of heat transfer using perturbation technique. It is observed that main fluid velocity decreases with increase in Prandtl number, while it increases with increase in suction parameter. The cross-velocity decreases near the plate and increases away from the plate with increase in suction parameter. On the other hand, it increases near the plate and decreases away from the plate with increase in frequency parameter. The amplitude and the tangent of phase shift of the shear stress due to main flow decrease with increase in either Prandtl number, Grashof number, or frequency parameter. It is seen that the temperature decreases with increase in either suction parameter, Prandtl number, or frequency parameter. It is also seen that the amplitude of the rate of heat transfer increases and the tangent of phase shift of rate of heat transfer decreases with increase in Prandtl number.

A Novel Design of Three‐Dimensional MHD Flow of Second‐Grade Fluid past a Porous Plate

“…e authors considered a magnetic flux in the normal direction to the plate. Moreover, Guria and Jana [27] considered a vertical porous wall for the three-dimensional hydrodynamic fluid flow problem. Furthermore, Greenspan and Carrier [28], Rossow [29], and Singh [30] presented their studies extensively on the magnetohydrodynamic impacts on the flow across a plane wall based on injection or suction.…”

Magnetohydrodynamic Three‐Dimensional Couette Flow of a Maxwell Fluid with Periodic Injection/Suction

“…Chauhan and Kumar [7] investigated heat transient effects in a three-dimensional Couette flow between partly filled channels by a porous material. Various workers [8][9][10][11] also investigated three-dimensional flow viscous fluid past a porous plate under different physical conditions. Many technological problems and natural phenomena are vulnerable to magnetohydrodynamic (MHD) analysis.…”

Radiation Effect On Three Dimensional Vertical Channel Flow Through Porous Medium

“…Recently, Guria et al (2010) investigated the effect of radiation on a three dimensional flow in a vertical channel subjected to a periodic suction. Guria et al (2011) also investigated the effect of radiation on three dimensional flow past a vertical porous plate in the presence of transverse magnetic field. Pathak et al (2006) studied the radiation effects on an unsteady free convective flow through a porous medium bounded by an oscillating plate with variable wall temperature.…”