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Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids


Citation

Md Ali, Fadzilah and Nazar, Roslinda and Md. Arifin, Norihan and Pop, Ioan (2013) Numerical solutions of Wang's stretching/shrinking sheet problem for nanofluids. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 330-334).

Abstract

The steady stagnation-point flow of a viscous and incompressible fluid over a continuously stretching or shrinking sheet in its own plane in a water-based copper (Cu) nanofluid is studied theoretically. The formulation of the present problem in a nanofluid follows that of Wang's stretching/shrinking sheet problem in a viscous fluid. The nonlinear partial differential equations are transformed into ordinary differential equations via the similarity transformation. The transformed boundary layer equations are solved numerically using the shooting method. The numerical solutions are obtained and discussed for the skin friction coefficient and the velocity profiles for various values of the governing parameters, namely the nanoparticle volume fraction and stretching/shrinking parameters. It is found that dual solutions exist for the shrinking sheet case.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4823930
Publisher: AIP Publishing LLC
Keywords: Dual solutions; Nanofluids; Stagnation-point flow; Stretching/shrinking sheet
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:48
Last Modified: 26 Sep 2017 03:48
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4823930
URI: http://psasir.upm.edu.my/id/eprint/57243
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