Internal separated flows at large reynolds number

Kumar, A and Yajnik, KS (1980) Internal separated flows at large reynolds number. Journal of Fluid Mechanics, 97 . pp. 27-51. ISSN 0022-1120

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Abstract

Large-Reynolds-number analysis is given for separated flows that have the characteristic feature of being confined in the transverse direction. Two principal limits of the governing equation are obtained depending on whether the streamwise length scale is of order one or of the order of the Reynolds number. The corresponding two types of separated flows are discussed. A method of calculation is given for the second type of flow. It employs an expansion in the eigenfunctions of the Poiseuille flow development and the problem is reduced to solving nonlinear first-order ordinary differential equations that have a tendency to decouple rapidly. The method is tested by a detailed comparison of the results of the present calculation with finite-difference solutions of the Navier-Stokes equations for a channel with sudden expansion. Applicability to other configurations is illustrated by solving the problem of the flow in a channel with a base

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Cambridge University Press
Uncontrolled Keywords: Channel flow;Finite difference theory;Laminar flow;Navier-stokes equation;Reynolds number;Separated flow;Computer programs;Eigenvectors;Flow equations;Flow theory;Nonlinear equations;Series expansion
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Division/Department: Computational and Theoretical Fluid Dynamics Division, Fluid Dynamics
Depositing User: Ms. Alphones Mary
Date Deposited: 04 Sep 2006
Last Modified: 24 May 2010 09:39
URI: http://nal-ir.nal.res.in/id/eprint/901

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