A low-order theory for stability of non-parallel boundary layer flows
IR@NAL: CSIR-National Aerospace Laboratories, Bangalore
View Archive Info| Field | Value | |
| Title |
A low-order theory for stability of non-parallel boundary layer flows
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| Creator |
Govindarajan, Rama
Narasimha, R |
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| Subject |
Fluid Mechanics and Thermodynamics
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| Description |
As a sequel to the earlier analysis of Govindarajan amp;amp; Narasimha (1996), we formulate here the lowest-order rational asymptotic theory capable of handling the linear stability of spatially developing two-dimensional boundary layers. It is shown that a new ordinary differential equation, using similarity-transformed variables in Falkner-Skan flows, provides such a theory correct upto (but not including) O(Rlt;supgt;-2/3lt;/supgt;), where R is the local boundary layer thickness Reynolds number. The equation so derived differs from the Orr-Sommerfeld in two respects: the terms representing streamwise diffusion of vorticity are absent; but a new term for the advection of disturbance vorticity at the critical layer by the mean wall-normal velocity was found necessary. Results from the present lowest-order theory show reasonable agreement with the full O(Rlt;supgt;-1lt;/supgt;) theory. Stability loops at different wall-normal distances, in either theory, show certain peculiar characteristics that have not been reported so far but are demonstrated here to be necessary consequences of flow non-parallelism
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| Publisher |
Royal Society of Londan
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| Date |
1997-08-12
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| Type |
Journal Article
PeerReviewed |
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| Identifier |
Govindarajan, Rama and Narasimha, R (1997) A low-order theory for stability of non-parallel boundary layer flows. Proceedings of the Royal Society of London, Series A (Mathematical, Physical and Engineering Sciences), 453 (1967). pp. 2537-2549. ISSN 1364-5021
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| Relation |
http://nal-ir.nal.res.in/4139/
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