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The Accelerated Rotating Disk in a Micropolar Fluid Flow
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
- 1 Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
- 2 Department of Mathematics, Suleman Bin Abdul Aziz University, AlKharj, KSA
- 3 Punjab Higher Education Department, Principal, Govt. Degree College Darya Khan, Bhakkar, Pakistan
Applied Mathematics·Volume 05 (2013)·Pages 196–202·Published 25 December 2013·DOI10.4236/am.2014.51020
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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.
KeywordsMicropolar FluidsNumerical AnalysisRotating Disk
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