Boundary layer flow and heat transfer in a micropolar fluid past a permeable at plate

Abstract

An analysis is performed to study the shear stress, the couple-stress and heat transfer characteristics of a laminar mixed convection boundary layer flow of a micropolar fluid past an isothermal permeable plate. The governing nonsimilar boundary layer equations are analyzed using the (i) series solution for small ?, (ii) asymptotic solution for large ? and (iii) primitive-variable formulation and the stream function formulation are being used for all ?. The effects of the material parameters, such as, the vortex viscosity parameter, K, and the transpiration parameter, s, on the shear stress, the couple-stress and heat transfer have been investigated. The agreement between the solutions obtained from the stream-function formulation and the primitive-variable formulation is found to be excellent.

A Chebyshev Spectral Collocation Method-Based Series Approach for Boundary Layer Flow and Heat Transfer in a Micropolar Fluid past a Permeable Flat Plate

“…The mathematical equations modeling boundary layer and heat transfer flow of a micropolar fluid past a permeable flat plate with heat generation and thermal radiation effects are defined by a coupled system of three nonlinear partial differential equations. The problem investigated in this study extends the analysis of Hossain et al [18] by putting into account the effects of heat generation and thermal radiation. The problem without the effects of heat generation and thermal radiation has earlier been solved by Hossain et al [18] analytically using the perturbation method and numerically using an implicit finite difference method.…”

“…The problem investigated in this study extends the analysis of Hossain et al [18] by putting into account the effects of heat generation and thermal radiation. The problem without the effects of heat generation and thermal radiation has earlier been solved by Hossain et al [18] analytically using the perturbation method and numerically using an implicit finite difference method. The perturbation method and implicit finite method have been used extensively by many researchers on related problems defined on large parameter intervals (see, for example, [18,33,34]).…”

“…The flow configuration and coordinate system are displayed in Figure 1. Under the usual boundary layer approximation, the flow is governed by the following equations (see [18]). We consider a steady, two-dimensional laminar boundary layer flow of a micropolar fluid along a permeable vertical flat surface in the presence of heat generation and thermal radiation.…”

“…Hayat et al [17] carried out a numerical study using the homotopy analysis to investigate the mixed convection flow of a micropolar fluid with radiation and chemical reaction. Hossain et al [18] used the series method to investigate the boundary layer flow and heat transfer in a micropolar fluid past a porous flat plate. Other micropolar fluid flow studies have been conducted by, among others, Shit et al [19], Govardhan and Kishan [20], Ahmad et al [21], Bhattacharyya et al [22], El-Dabe et al [23], Singh et al [24][25][26][27][28][29], Mabood et al [30], Khan et al [31], and Pattnaik et al [32].…”

“…The problem without the effects of heat generation and thermal radiation has earlier been solved by Hossain et al [18] analytically using the perturbation method and numerically using an implicit finite difference method. The perturbation method and implicit finite method have been used extensively by many researchers on related problems defined on large parameter intervals (see, for example, [18,33,34]). The perturbation method is an analytic technique for finding approximate solutions to differential equations.…”