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Numerical Solution for Accelerated Rotating Disk in a Viscous Fluid

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DOI: 10.4236/am.2013.46124    4,361 Downloads   6,221 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

S. Hussain, F. Ahmad, M. Shafique and S. Hussain, "Numerical Solution for Accelerated Rotating Disk in a Viscous Fluid," Applied Mathematics, Vol. 4 No. 6, 2013, pp. 899-902. doi: 10.4236/am.2013.46124.

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