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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(1):13-23; doi:10.1093/qjmam/10.1.13
© 1957 by Oxford University Press
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FLOW WITH VARIABLE SHEAR PAST CIRCULAR CYLINDERS

J. D. MURRAY and A. R. MITCHELL

( King's College, University of Durham
United College, University of St. Andrews )

Stream functions are obtained for two variable shear flows past a circular cylinder. The shear distributions in the free stream are of the ‘linear’ and ‘boundary layer’ type respectively. In both flows, the stagnation streamline is displaced in the free stream towards a region of higher velocity. This is in agreement with the results obtained by the present authors (1) in the case of constant shear flow past a cylinder and with the experimental results of Young and Maas (2) for a pitot tube of circular cross-section in a low-speed shear flow. The displacements in both variable shear flows are comparable in magnitude to the values obtained in the constant shear case but are considerably smaller than the experimental values of Young and Maas.


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