2011
DOI: 10.5560/zna.2011-0048
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Some Unsteady Flows of a Jeffrey Fluid between Two Side Walls over a Plane Wall

Abstract: In this paper, some time-dependent flows of a non-Newtonian fluid between two side walls over a plane wall are investigated. The following three problems have been studied: (i) flow due to an oscillating plate, (ii) flow due to an accelerating plate, and (iii) flow due to applied constant stress. The explicit expressions for the velocity field are determined by using the integral transforms. The solutions that have been obtained, depending on the initial and boundary conditions, are written as sum of the stead… Show more

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Cited by 12 publications
(6 citation statements)
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“…Results from Stokes Second Problem were higher but within the same order of magnitude as those of the simulations. This result is consistent with a study by Khan and colleagues [19]. They compared analytic solutions of an oscillating fluid between two sidewalls to that without side walls.…”
Section: Stokes Second Equation Comparisonssupporting
confidence: 92%
“…Results from Stokes Second Problem were higher but within the same order of magnitude as those of the simulations. This result is consistent with a study by Khan and colleagues [19]. They compared analytic solutions of an oscillating fluid between two sidewalls to that without side walls.…”
Section: Stokes Second Equation Comparisonssupporting
confidence: 92%
“…Nadeem et al [13] presented the peristaltic flow of a Jeffrey fluid with variable viscosity in an asymmetric channel. Some unsteady flows of a Jeffrey fluid between two side walls over a plane wall has been reported by Khan et al [14], whereas Hayat et al [15] discussed the boundary layer flow of a Jeffrey fluid with convective boundary conditions. Thermal radiation effect on the mixed convection stagnationpoint flow in a Jeffery fluid and the effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid are also presented by Hayat et al [16,17].…”
Section: Introductionmentioning
confidence: 99%
“…Also, examined velocity and shear-type driving forces for Couette flow, transient Poiseuille, and wind-driven flow in parallel plates and a finite domain, respectively, with the impact of the Jeffrey fluid model. Khan et al 14 studied the flow under constant applied stress induced by an oscillating and an accelerating plate. Turkyilmazoglu 15 studied the impression of thermal radiation with MHD over a rotating disk, which was immersed in a viscous fluid.…”
Section: Introductionmentioning
confidence: 99%