The steady fluid flow that is initiated by a cascade of cylinders, which oscillates harmonically in an unbounded, incompressible, viscous fluid that is otherwise at rest, is investigated, both numerically and experimentally. Finite‐difference techniques are used to obtain the numerical solutions, and the streaming flow results show a reasonable agreement with the experimental data. It is found, both numerically and experimentally, that for large values of the streaming Reynolds number, Rs, the flow is not symmetrical about the axis of the oscillation, i.e., there exists a critical value of Rs, Rs0 say, such that the streaming flows for Rs≳Rs0 are unstable and those for Rs<Rs0 are stable. In order to understand this asymmetry, a stability analysis is performed, and the agreement between the theory and the experimental results is encouraging.
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April 1994
Research Article|
April 01 1994
The streaming flow initiated by oscillating cascades of cylinders and their stability
B. Yan;
B. Yan
Department of Applied Mathematical Studies, University of Leeds, Leeds, LS2 9JT, England
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D. B. Ingham;
D. B. Ingham
Department of Applied Mathematical Studies, University of Leeds, Leeds, LS2 9JT, England
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B. R. Morton
B. R. Morton
Department of Mathematics, Monash University, Clayton 3168, Victoria, Australia
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Physics of Fluids 6, 1472–1481 (1994)
Article history
Received:
April 21 1993
Accepted:
December 13 1993
Citation
B. Yan, D. B. Ingham, B. R. Morton; The streaming flow initiated by oscillating cascades of cylinders and their stability. Physics of Fluids 1 April 1994; 6 (4): 1472–1481. https://doi.org/10.1063/1.868262
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