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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2008, Vol. 9 Issue (5): 672-680    DOI: 10.1631/jzus.A071433
Civil & Mechanical Engineering     
Exact solutions for different vorticity functions of couple stress fluids
Saeed ISLAM, Chao-ying ZHOU, Xiao-juan RAN
Department of Mechanical Engineering and Automation Harbin Institute of Technology, Shenzhen Graduate School, Shenzhen 518055, China; COMSATS Institute of Information Technology, Islamabad 44000, Pakistan
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Abstract  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).

Key words： Exact solutions      Vorticity functions      Beltrami flow      Couple stress fluid     
Received: 10 August 2007      Published: 27 March 2008
CLC:  O35  
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Saeed ISLAM
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Xiao-juan RAN
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Saeed ISLAM, Chao-ying ZHOU, Xiao-juan RAN. Exact solutions for different vorticity functions of couple stress fluids. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(5): 672-680.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.A071433     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2008/V9/I5/672

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