Numerical Investigation of a Steady Flow of an Incompressible Fluid in a Lid Driven Cavity

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Turkish Journal of Mathematics and Computer Science
Volume:1, 2013
Numerical Investigation of a Steady Flow of an Incompressible Fluid in a Lid Driven Cavity

Numerical Investigation of a Steady Flow of an Incompressible Fluid in a Lid Driven Cavity

Authors : Hüseyin Demir, Serpil Şahin

Pages : 14-23

View : 35 | Download : 2

Publication Date : 2016-05-26

Article Type : Research Paper

Abstract :In this paper, numerical investigation for 2-D steady-state, incompressible pseudoplastic viscous flow is presented. Pseudo time derivative is used to solve the continuity and momentum equations with suitable boundary conditions. Depending on high Reynolds number, wall motions of flow are investigated with respect to nonlinear viscosity by using Cross model. This study has been undertaken as a first step toward understanding in heat and mass transport in solvent and polymer processing equipment. Solution to the vorticity equation for moving top wall is obtained numerically and found to be stable and convergent for high value of Reynolds numbers. In fact some new results, which are governed by inertia and variable shear-rate, are obtained and then this has been documented first time.
Keywords : 2 D steady state, Incompressible pseudoplastic viscous flow, Pseudo time derivative, High Reynolds number

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