Lund, Liaquat Ali and Omar, Zurni and Khan, Ilyas and Baleanu, Dumitru and Nisar, Kottakkaran Sooppy (2020) Triple solutions and stability analysis of micropolar fluid flow on an exponentially shrinking surface. Crystals, 10 (4). pp. 1-14. ISSN 2073-4352

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Abstract

In this article, we reconsidered the problem of Aurangzaib et al., and reproduced the results for triple solutions. The system of governing equations has been transformed into the system of non-linear ordinary differential equations (ODEs) by using exponential similarity transformation. The system of ODEs is reduced to initial value problems (IVPs) by employing the shooting method before solving IVPs by the Runge Kutta method. The results reveal that there are ranges of multiple solutions, triple solutions, and a single solution. However, Aurangzaib et al., only found dual solutions. The effect of the micropolar parameter, suction parameter, and Prandtl number on velocity, angular velocity, and temperature profiles have been taken into account. Stability analysis of triple solutions is performed and found that a physically possible stable solution is the first one, while all leftover solutions are not stable and cannot be experimentally seen.

Item Type:	Article
Additional Information:	PDF cannot be download
Uncontrolled Keywords:	similarity solution; triple solutions; stability analysis; shooting method; three-stage Lobatto III-A formula
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:	School of Quantitative Sciences
Depositing User:	Mrs. Norazmilah Yaakub
Date Deposited:	30 Nov 2020 01:11
Last Modified:	30 Nov 2020 01:11
URI:	https://repo.uum.edu.my/id/eprint/27926

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