2011
DOI: 10.2478/s11534-010-0100-2
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The flow of a micropolar fluid through a porous channel with expanding or contracting walls

Abstract: Abstract:The flow of a micropolar fluid in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for the velocity fields and microrotation fields. Graphs are sketched for the effects of some values of parameters, especially the expansion ratio, on the velocity and microrotation fields and associated dynamic characteristics are analyzed in de… Show more

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Cited by 25 publications
(14 citation statements)
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“…We introduce the following similarity transformations that are motivated by the definition of the stream function (see Si et al [15])…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…We introduce the following similarity transformations that are motivated by the definition of the stream function (see Si et al [15])…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…Xinhui et al [12,13] analyzed the flow of non-Newtonian fluid in a porous channel with expanding or contracting walls. Many researchers have investigated the fluid flow behavior between expanding or contracting walls analytically as well as numerically under the various fluid flow conditions [14][15][16][17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…The fluid flow in a channel has abundant practical applications in industry from mathematical and engineering point of view [1][2][3][4][5]. In particular, those fluids in which the shear stresses are not linear proportional to the velocity gradient are characterized as non-Newtonian fluids which are of much interest among the researchers.…”
Section: Introductionmentioning
confidence: 99%