Two Dimensional Flow of Shear Thinning Fluid Around A Square Cylinder

Abstract

The current thesis has been segregated into four parts. The first part is to observe the lid driven flow in a square cavity using water as the material. The simulation was carried out at different Reynolds number (100<Re<500) and the velocity streamlines and vectors plots were plotted. The second part is to study the fluid flow across a square cylinder for a Non-Newtonian fluid in the range of 20<Re<100 and plot the x velocity along the vertical centre line and y velocity along the horizontal centre line. For shear thinning of the fluid the power law index was taken to be n<1. The results were matched with that of literature. The third part is the study of momentum transfer from a square cylinder and determination of drag coefficients. The drag values for Newtonian and shear thinning fluids were calculated and the results were validated with the literature. The Reynolds number range was from 1<Re<100 and n<1. The fourth part is to study the two dimensional unsteady laminar flow of a Newtonian and power law fluid across a square cylinder. The Strouhal number, Average Drag Coefficient and RMS value of lift were calculated and then compared with the literature. The effect of Reynolds number on Strouhal number, average drag and root mean square lift coefficient was carried out. The Re range was from 60<Re<160, beyond which the flow goes three dimensional which isn’t covered in this project. The vortex shedding at different intervals of time is also shown.