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E. B. Watson, W. H. H. Banks, M. B. Zaturska and P. G. Drazin, “On Transition to Chaos in Two Dimensional Channel Flow Symmetrically Driven by Accelerating Walls,” Journal of Fluid Mechanics, Vol. 212, 1990, pp. 451-485. doi:10.1017/S0022112090002051

has been cited by the following article:

• 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.