CLC number: O35
On-line Access: 2024-08-27
Received: 2023-10-17
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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.
@article{title="Exact solutions for different vorticity functions of couple stress fluids",
author="Saeed ISLAM, Chao-ying ZHOU, Xiao-juan RAN",
journal="Journal of Zhejiang University Science A",
volume="9",
number="5",
pages="672-680",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A071433"
}
%0 Journal Article
%T Exact solutions for different vorticity functions of couple stress fluids
%A Saeed ISLAM
%A Chao-ying ZHOU
%A Xiao-juan RAN
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 5
%P 672-680
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A071433
TY - JOUR
T1 - Exact solutions for different vorticity functions of couple stress fluids
A1 - Saeed ISLAM
A1 - Chao-ying ZHOU
A1 - Xiao-juan RAN
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 5
SP - 672
EP - 680
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A071433
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).
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