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Multiple solutions of an unsteady stagnation-point flow with melting heat transfer in a Darcy-Brinkman porous medium

Khalid Aurangzaib, M. and Bhattacharyya, K. and Shafie, S. (2016) Multiple solutions of an unsteady stagnation-point flow with melting heat transfer in a Darcy-Brinkman porous medium. Nonlinear Engineering, 5 (2). pp. 99-106. ISSN 2192-8010

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Official URL: http://dx.doi.org/10.1515/nleng-2015-0034

Abstract

The characteristics of the unsteady boundary layer flow with melting heat transfer near a stagnation-point towards a flat plate embedded in a DarcyBrinkman porous medium with thermal radiation are investigated. The governing partial differential equations are transformed into self-similar ordinary differential equations by similarity transformations. The transformed self-similar equations are solved numerically using bvp4c from Matlab for several values of the flow parameters. The study reveals that the multiple solutions exist for the decelerating (A < 0) flow, whereas for the accelerating (A = 0) flow, the solution is unique. The results also indicate that the melting phenomenon increases the rate of heat transfer and delays the boundary layer separation. To validate the current numerical results, comparison with available results is made and found to be in a good agreement.

Item Type:Article
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:70033
Deposited By: Narimah Nawil
Deposited On:06 Nov 2017 06:14
Last Modified:20 Nov 2017 08:52

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