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Flow of a micropolar fluid bounded by a stretching sheet

Desseaux , Andre & Kelson, Neil A. (2000) Flow of a micropolar fluid bounded by a stretching sheet. ANZIAM Journal, 42 (E), C536-C560.

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Abstract

We consider boundary layer flow of a micropolar fluid driven by a porous stretching sheet. A similarity solution is defined, and numerical solutions using Runge-Kutta and quasilinearisation schemes are obtained. A perturbation analysis is also used to derive analytic solutions to first order in the perturbing parameter. The resulting closed form solutions involve relatively complex expressions, and the analysis is made more tractable by a combination of offline and online work using a computational algebra system (CAS).

For this combined numerical and analytic approach, the perturbation analysis yields a number of benefits with regard to the numerical work. The existence of a closed form solution helps to discriminate between acceptable and spurious numerical solutions. Also, the expressions obtained from the perturbation work can provide an accurate description of the solution for ranges of parameters where the numerical approaches considered here prove computationally more difficult.

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ID Code: 26428
Item Type: Journal Article
Additional Information: URL for article http://anziamj.austms.org.au/V42/CTAC99/Dess/
Additional URLs:
Keywords: micropolar flow, stretching sheet
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)
Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Approximation Theory and Asymptotic Methods (010201)
Divisions: Current > QUT Faculties and Divisions > Division of Technology, Information and Learning Support
Deposited On: 22 Jul 2009 11:12
Last Modified: 10 Aug 2011 23:50

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