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CLC number: O35

On-line Access: 2008-03-27

Received: 2007-08-10

Revision Accepted: 2007-12-06

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Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.5 P.672~680


Exact solutions for different vorticity functions of couple stress fluids

Author(s):  Saeed ISLAM, Chao-ying ZHOU, Xiao-juan RAN

Affiliation(s):  Department of Mechanical Engineering and Automation Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen 518055, China; more

Corresponding email(s):   saeed@hitsz.edu.cn, saeed_nihar@yahoo.com.au

Key Words:  Exact solutions, Vorticity functions, Beltrami flow, Couple stress fluid

Saeed ISLAM, Chao-ying ZHOU, Xiao-juan RAN. Exact solutions for different vorticity functions of couple stress fluids[J]. Journal of Zhejiang University Science A, 2008, 9(5): 672~680.

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A1 - Saeed ISLAM
A1 - Chao-ying ZHOU
A1 - Xiao-juan RAN
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A071433

In this paper, inverse solutions are obtained for the class of 2D steady incompressible couple stress fluid flows. This class consists of flows for which the vorticity distribution is given by ▽2ψ=ψ+f(x,y). The solutions are obtained by applying the inverse method, which makes certain hypotheses regarding the form of the velocity field and pressure but without making any regarding the boundaries of the domain occupied by the fluid. Inverse solutions are derived for three different forms of f(x,y).

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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