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Steady incompressible flow past a row of circular cylinders

Published online by Cambridge University Press:  26 April 2006

Bengt Fornberg
Bengt Fornberg
Affiliation:
Corporate Research, Exxon Research and Engineering Company, Annandale, NJ 08801, USA
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Abstract

Numerical solutions are presented for steady two-dimensional incompressible flow past an infinite row of cylinders (of unit radii, with distances W between their centres). The calculations cover R [les ] 700 for 5 [les ] W [les ] ∞ and also R = 800 for 5 [les ] W [les ] 100 (where R denotes the Reynolds number based on the cylinder diameters). The recirculation regions (wake bubbles) are found to grow in length approximately linearly with R in all cases. For high values of R, a major change occurs in their character when W is increased past Wcrit ≈ 16. While they have remained slender up to this point (essentially only stretching in length in proportion to R), their centres of circulation have moved towards their ends. As W is further increased, the wake bubbles widen rapidly, beginning from the rear of the wakes. In the limit of W→∞, the present results agree with the previous ones for a single cylinder as reported by Fornberg (1985).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 655 - 671
Copyright
© 1991 Cambridge University Press

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