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SIMILARITY SOLUTIONS OF THE UNSTEADY BOUNDARY LAYER FLOW PAST A PERMEABLE WEDGE EMBEDDED IN A POROUS MEDIUM

卷 22, 册 6, 2019, pp. 745-759
DOI: 10.1615/JPorMedia.2019029063
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摘要

We investigate the unsteady two-dimensional laminar boundary layer flow of a viscous and incompressible fluid over a constant and permeable wedge inserted into a porous medium. The outer freestream velocity is assumed to be proportional to a power of distance along the wedge surface, i.e., xm, where x is the distance from the leading edge and m is a constant. The model is described by the unsteady Falkner-Skan equation and solved analytically when the unsteady parameter equals 2 and otherwise numerically using the Keller-box method, for the wall shear stresses and mean velocity profiles. The system is also solved asymptotically far away from the wedge surface to compliment the numerical results, and asymptotic solutions produce oscillatory-type velocity profiles. Results show that the flow region is divided into near- and far-field regions. The effects of suction are to reduce the horizontal flow velocity near the viscous region, whereas, for the case of injection, these can extend far away from the wedge surface. In addition, our results show that boundary layer thickness decreases for an accelerated flow; whereas, there is a boundary layer separation for strong decelerated flow. The dynamics behind these results are discussed.

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对本文的引用
  1. Kalpana G., Madhura K.R., Kudenatti Ramesh B., Numerical study on the combined effects of Brownian motion and thermophoresis on an unsteady magnetohydrodynamics nanofluid boundary layer flow, Mathematics and Computers in Simulation, 200, 2022. Crossref

  2. Kalpana G., Madhura K.R., Kudenatti Ramesh B., Magnetohydrodynamic boundary layer flow of hybrid nanofluid with the thermophoresis and Brownian motion in an irregular channel: A numerical approach, Engineering Science and Technology, an International Journal, 32, 2022. Crossref

  3. Bai Yu, Wan Sa, Zhang Yan, Wang Xin, Unsteady Falkner-Skan flow of fractional Maxwell fluid towards a stretched wedge with buoyancy effects, Physica Scripta, 98, 1, 2023. Crossref

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