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

M Guria,R N Jana

doi:10.1155/ijmms.2005.3359

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.

Highlights

The research area of laminar flow is continuously growing, and it is the subject of intensive studies in recent years because of its application in engineering, in aeronautical engineering
Misra et al [3] studied the flow of viscous incompressible fluid along an infinite porous plate by applying the transverse sinusoidal suction velocity distribution fluctuating with time
It is observed that main fluid velocity decreases with increase in Prandtl number while it increases with increase in suction parameter

Summary

Introduction

The research area of laminar flow is continuously growing, and it is the subject of intensive studies in recent years because of its application in engineering, in aeronautical engineering. One of the most important application of laminar flow is the calculation of friction drag of bodies in a flow, for example, the drag of a plate at zero incidence, the friction drag of ship, an airfoil It is important for heat transfer between a body and the fluid around it. Misra et al [4] have studied the effect of buoyancy forces on the three-dimensional flow and heat transfer along a porous vertical plate. Misra et al [3] studied the flow of viscous incompressible fluid along an infinite porous plate by applying the transverse sinusoidal suction velocity distribution fluctuating with time. 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 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

Formulation of the problem

Solution of the problem

Result and discussion