On the High Reynolds Number Theory of Laminar Flows
- 1 May 1982
- journal article
- review article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 28 (3) , 207-281
- https://doi.org/10.1093/imamat/28.3.207
Abstract
This review aims to steer a central course through the high Reynolds number theory of laminar flows, from its early classical beginnings and failures to its present-day status. The review is divided into three parts. Part I concerns external flows. It deals in turn with the classical attached flow strategy and its deficiencies; the incompressible triple-deck structure; the compressible triple-deck, supersonic flow and breakaway separation; incompressible breakaway separation and applications; and, finally, other triple-deck situations and other external flow structures. Part II concerns internal flows. Symmetric channel flows and axisymmetric pipe flows are considered first, followed by a discussion of non-symmetric channel flows and three-dimensional pipe flows. Part III concerns recent work on special situations where the classical strategy is consistent with separation. This deals with: flow over an obstacle in a wall layer; marginal separation; and, finally, unsteady breakaway separation.This publication has 9 references indexed in Scilit:
- Nonlinear critical layers and their development in streaming-flow stabilityJournal of Fluid Mechanics, 1982
- Marginally Stable Inviscid Flows with Critical LayersIMA Journal of Applied Mathematics, 1981
- Nonlinear stability of boundary layers for disturbances of various sizesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- On the non-parallel flow stability of the Blasius boundary layerProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- Multistructured Boundary Layers on Flat Plates and Related BodiesPublished by Elsevier ,1974
- Laminar flow over a small hump on a flat plateJournal of Fluid Mechanics, 1973
- On determination of the characteristic equations for the stability of parallel flowsJournal of Fluid Mechanics, 1966
- ON GOLDSTEIN'S THEORY OF LAMINAR SEPARATIONThe Quarterly Journal of Mechanics and Applied Mathematics, 1958
- Zur Theorie freier Flüssigkeitsstrahlen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1869