Numerical Solution for Accelerated Rotating Disk in a Viscous Fluid

Sajjad Hussain, Farooq Ahmad, Mohammad Shafique, Sifat Hussain

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
Department of Mathematics, Gomal University, Dera Ismail Khan, Pakistan.
Punjab Higher Education Department, Govt. Degree College Darya Khan, Bhakkar, Pakistan.

DOI: 10.4236/am.2013.46124                

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.

Keywords

Newtonian Fluids; Numerical Analysis; Rotating Disk

Conflicts of Interest

The authors declare no conflicts of interest.

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