The flow of fluid along corners and edges

Sowerby, L. and Cooke, J. C. (1953) The flow of fluid along corners and edges. The Quarterly Journal of Mechanics and Applied Mathematics, 6 (1). pp. 50-70. ISSN 0033-5614, DOI

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The steady laminar flow of fluid along corners and edges has so far proved to be an intractable problem by using boundary-layer methods; only one attempt, due to Carrier (1), is known, and this must be regarded as unsatisfactory in that certain of the equations of motion have been disregarded. It was suggested in Goldstein (2) that qualitative results could be obtained by an hypothesis originally due to Rayleigh (3), and it would seem that quantitative results may be obtainable by changing one constant. In PARTI of this paper the modified hypothesis is tested on the flow along the outside of a circular cylinder, some results being obtained for comparison by standard boundary-layer methods. The results suggest that some estimate of skin friction may be possible. In PARTII of the paper the problem discussed is the flow of fluid bounded by two semi-infinite intersecting flat plates which are both set in motion suddenly with uniform velocity W parallel to their line of intersection ('the wedge problem'). The modified form of Rayleigh's hypothesis is applied to certain of the results obtained to estimate the drag on a finite rectangular pipe of suitable length mounted in a steady stream. © 1953 Oxford University Press.

Item Type: Article
Additional Information: Sowerby, L. & Cooke, J.C. University of Malaya, Malaysia.
Uncontrolled Keywords: flow; fluid; corners; edges
Subjects: Q Science > QA Mathematics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 25 Sep 2020 01:52
Last Modified: 25 Sep 2020 01:52

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