The Accelerated Rotating Disk in a Micropolar Fluid Flow

Sajjad Hussain, Muhammad Anwar Kamal, Farooq Ahmad

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
Department of Mathematics, Suleman Bin Abdul Aziz University, AlKharj, KSA.
Punjab Higher Education Department, Principal, Govt. Degree College Darya Khan, Bhakkar, Pakistan.

DOI: 10.4236/am.2014.51020                

Abstract

The problem of a micropolar fluid about an accelerated disk rotating with angular velocity Ω proportional to time has been studied. By means of the usual similarity transformations, the governing equations are reduced to ordinary non-linear differential equations and then solved numerically, using SOR method and Simpson’s (1/3) rule for s ≥ 0, where s is non-dimensional parameter which measures unsteadiness. The calculations have been carried out using three different grid sizes to check the accuracy of the results. The results have been improved by using Richardson’s extrapolation.

Keywords

Micropolar Fluids; Numerical Analysis; Rotating Disk

Conflicts of Interest

The authors declare no conflicts of interest.

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