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 128×128. 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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