Finite Volume Solution of Non-Newtonian Casson Fluid Flow in A Square Cavity

S. Mehmood, M. Nawaz, A. Ali

Abstract


A two dimensional unsteady flow of non-Newtonian fluid in a square cavity is investigated numerically by using finite volume method based on staggered grids. The discretized equations are integrated by using second order Adams-Bashforth time advancement scheme togather with pressure correction approach. Error history for velocities and pressure are recorded for high Reynolds number when grid resolution is \(128\times128\). The results are also compared with already published work for special case. An excellent agreement is observed. The behavior of velocity components are studied for different values of non-Newtonian parameter $\beta$, the Casson fluid parameter.

Keywords


Finite volume method; Casson fluid; Driven cavity flow; Staggered grid; Pressure Poisson equation; Thomas algorithms; Adam Bashfort

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References


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DOI: http://dx.doi.org/10.26713%2Fcma.v9i3.795

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