Numerical solution for the flow over a stretchable disk

Numerical solution is obtained for the flow over a stretchable disk with or without rotation. Similarity transformations are used to convert the highly non linear governing partial differential equations to their ordinary differential form. The transformed equations have been solved numerically, using SOR method and Simpson’s (1/3) rule. The numerical results have been improved by Richardson’s extrapolation. The velocity and pressure distributions have been obtained for various values of disk rotation parameter s. When s=0, the flow corresponds to purely stretchable disk and when s>0, the flow is related to a stretching and rotating disk. AMS Subject Classification: 76M20.

Keywords: Newtonian fluid, Navier-stokes model, stretchable disk, Similarity transformations, Richardson’s extrapolation.