Abstract and Applied Analysis

Stagnation-Point Flow and Heat Transfer over a Nonlinearly Stretching/Shrinking Sheet in a Micropolar Fluid

Khairy Zaimi and Anuar Ishak

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Abstract

This paper considers the problem of a steady two-dimensional stagnation-point flow and heat transfer of an incompressible micropolar fluid over a nonlinearly stretching/shrinking sheet. A similarity transformation is employed to convert the partial differential equations into nonlinear ordinary ones which are then solved numerically using a shooting method. Numerical results obtained are presented graphically, showing the effects of the micropolar or material parameter and the stretching/shrinking parameter on the flow field and heat transfer characteristics. The dual solutions are found to exist in a limited range of the stretching/shrinking parameter for the shrinking case, while unique solutions are possible for all positive values of the stretching/shrinking parameter (stretching case). It is also observed that the skin friction coefficient and the magnitude of the local Nusselt number increase as the material parameter increases.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 261630, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277013

Digital Object Identifier
doi:10.1155/2014/261630

Mathematical Reviews number (MathSciNet)
MR3214411

Zentralblatt MATH identifier
07022035

Citation

Zaimi, Khairy; Ishak, Anuar. Stagnation-Point Flow and Heat Transfer over a Nonlinearly Stretching/Shrinking Sheet in a Micropolar Fluid. Abstr. Appl. Anal. 2014 (2014), Article ID 261630, 6 pages. doi:10.1155/2014/261630. https://projecteuclid.org/euclid.aaa/1412277013


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