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

Authors

  • S. Mehmood Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad
  • M. Nawaz Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad
  • A. Ali Department of Space Science, Institute of Space Technology, Islamabad

DOI:

https://doi.org/10.26713/cma.v9i3.795

Keywords:

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

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.

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Published

25-09-2018
CITATION

How to Cite

Mehmood, S., Nawaz, M., & Ali, A. (2018). Finite Volume Solution of Non-Newtonian Casson Fluid Flow in A Square Cavity. Communications in Mathematics and Applications, 9(3), 459–474. https://doi.org/10.26713/cma.v9i3.795

Issue

Vol. 9 No. 3 (2018)

Section

Research Article

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