TITLE:
Numerical Solution for Accelerated Rotating Disk in a Viscous Fluid
AUTHORS:
Sajjad Hussain, Farooq Ahmad, Mohammad Shafique, Sifat Hussain
KEYWORDS:
Newtonian Fluids; Numerical Analysis; Rotating Disk
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.6,
June
4,
2013
ABSTRACT: The problem of a disk rotating in a viscous fluid has been investigated. The disk is accelerated with angular velocity proportional to time. Employing suitable similarity transformations the governing partial differential equations are transformed in to ordinary differential form. The resulting equations are solved numerically using SOR method and Simpson’s (1/3) rule. The results have been improved by using Richardson’s extrapolation. The effect of the non-dimensional parameter s which measures unsteadiness is observed on velocity components, skin friction coefficient and torque of the disk.