Flow of a micropolar fluid bounded by a stretching sheet

Abstract

We consider boundary layer flow of a micropolar fluid driven by a porous stretching sheet. A similarity solution is defined, and numerical solutions using Runge-Kutta and quasilinearisation schemes are obtained. A perturbation analysis is also used to derive analytic * Institut Universitaire Contents C537solutions to first order in the perturbing parameter. The resulting closed form solutions involve relatively complex expressions, and the analysis is made more tractable by a combination of offline and online work using a computational algebra system (CAS).For this combined numerical and analytic approach, the perturbation analysis yields a number of benefits with regard to the numerical work. The existence of a closed form solution helps to discriminate between acceptable and spurious numerical solutions. Also, the expressions obtained from the perturbation work can provide an accurate description of the solution for ranges of parameters where the numerical approaches considered here prove computationally more difficult.

Heat Transfer in a Micropolar Fluid over a Stretching Sheet with Newtonian Heating

“…Numerical solution of the differential system is obtained by Keller box method. Desseaux and Kelson [26] investigated the flow of a micropolar fluid over a stretching sheet. In another attempt, Kelson and Desseaux [27] have investigated the effects of surface conditions on the flow of a micropolar fluid over a stretching sheet.…”

Effects of variable electric conductivity and non-uniform heat source (or sink)on convective micropolar fluid flow along an inclined flat plate with surfaceheat flux

“…The notable contributions are from Ebert [6], Jena and Mathur [7], Soundalgekar and Takhar [8], Gorla and Takhar [9], Yucel [10], Gorla [11], Khonsari and Brew [12], Khonsari [13], Gorla et al [14], Gorla and Nakayam [15], Char and Chang [16] and Raptis [17]. Rees and Pop [18] studied free convection boundary layer flow of micropolar fluids from a vertical flat plate whereas Desseaux and Kelson [19] studied the same flow bounded by a stretching sheet. Mitarai et al [20] studied collisional granular flow with a micropolar fluid model.…”

Mixed Convective Flow of Micropolar Fluids past an Inclined Porous Flat Plate

“…Rees and Pop [7] investigated the free convection boundary layer flow in the same flow condition. Desseauax and Kelson [8] studied the flow of micropolar fluid bounded by stretching sheet. Perdikis and Raptis [9] studied the heat transfer of micropolar fluid in the presence of radiation.…”