Stability Analysis of Stagnation-Point Flow and Heat Transfer over an Exponentially Shrinking Sheet with Heat Generation

Nurul Syuhada, Ismail and Norihan, Md. Arifin and Roslinda, Nazar and Norfifah, Bachok (2019) Stability Analysis of Stagnation-Point Flow and Heat Transfer over an Exponentially Shrinking Sheet with Heat Generation. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 13 (2). pp. 107-122. ISSN 1823-8343

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Official URL: http://psasir.upm.edu.my/id/eprint/76362/1/1.%20NO...

Abstract

This case study seeks to examine the �uid �ow at stagnation-point over an exponentially permeable shrinking sheet towards suction. This work also investigate the heat transfer in the present of heat generation. By using an appropriate similarity transformation, we obtain ordinary di�erential equations by reduction of governing partial di�erential equation. We used commercially Maple software to obtain the numerical result. The e�ects of the parameters involve in this study are summarizes and thoroughly discussed. Remarkably, the dual solution is found at certain range of the shrinking sheet and suction parameters. Thus, this result is further performed to analyze its stability by using Matlab software. As expected, our study has proved that the �rst solution is stable while the second one is not.

Item Type: Article
Uncontrolled Keywords: Heat generation, exponentially, Stability analysis, Shrinking sheet, Stagnation point, Suction, UNIMAS, University, Borneo, Malaysia, Sarawak, Kuching, Samarahan, IPTA, education, Universiti Malaysia Sarawak
Subjects: Q Science > QA Mathematics
Divisions: Academic Faculties, Institutes and Centres > Centre for Pre-University Studies
Faculties, Institutes, Centres > Centre for Pre-University Studies
Academic Faculties, Institutes and Centres > Centre for Pre-University Studies
Depositing User: Ismail
Date Deposited: 30 Aug 2021 02:58
Last Modified: 30 Aug 2021 02:58
URI: http://ir.unimas.my/id/eprint/35918

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