The Oseen model for internal separated flows

Ramakrishnan, SV and Shankar, PN (1982) The Oseen model for internal separated flows. Journal of Engineering Mathematics, 16. pp. 325-347. ISSN 0022-0833

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The viscous laminar, separated flowfield downstream of a sudden expansion in a two-dimensional duct is studied. The flow is modelled by the Oseen equations and a solution is sought for the downstream flow given the conditions at the sudden expansion. First, the exact solution to a high-Reynolds-number limit equation suggested by Kumar and Yajnik (1980) is obtained. Next, the solution to the full equations is sought in terms of an eigenfunction-expansion procedure which leads to a nonstandard eigenvalue problem. A detailed study is made of the latter and a number of expansion procedures are considered for the boundary-value problem. Specific calculations of the separated flow are presented for Reynolds number between 1-100,000. It is found that as the Reynolds number approaches the solution of the full equation does indeed agree with the solution of the high-Reynolds-number limit equation. In particular it is found that the length of the recirculating region scales with R as the Reynolds number infinity

Item Type: Article
Additional Information: Copyright for this article belongs to Kluwer Academic Publishers Group
Uncontrolled Keywords: Computational fluid dynamics;Ducted flow;Flow distribution; Oseen approximation;Separated flow;Two dimensional flow; Eigenvalues;High reynolds number;Laminar flow;Mathematical models;Recirculative fluid flow
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Depositing User: Ms. Alphones Mary
Date Deposited: 04 Aug 2008
Last Modified: 24 May 2010 04:09

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