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Investigation of the Stability of the Laminar Boundary Layer in a Compressible Fluid

Investigation of the Stability of the Laminar Boundary Layer in a Compressible Fluid
Author: Lester Lees
Publisher:
Total Pages: 176
Release: 1946
Genre: Laminar boundary layer
ISBN:

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Report is presented in two parts: Part 1 deals with the general mathematical theory; Part 2 deals with the limiting case of infinite Reynolds numbers.


The Stability of the Laminar Boundary Layer in a Compressible Fluid

The Stability of the Laminar Boundary Layer in a Compressible Fluid
Author: Lester Lees
Publisher:
Total Pages: 46
Release: 1947
Genre: Airplanes
ISBN:

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The present paper is a continuation of a theoreical investigation of the stability of the laminar boundary layer in a compressible fluid. An approximate estimate for the minimum critical Reynolds number, or stability limit, is obtained in terms of the distribution of the kinematic viscosity and the product of the mean density and mean velocity across the boundary layer. With the help of this estimate for the minimum critical Reynolds number, it is shown that withdrawing heat from the fluid through the solid surface increases minimum critical Reynolds number and stabilizes the flow, as compared with the flow over an insulated surface at the same Mach number. Conduction of heat to the fluid through the solid surface has exactly the opposite effect. The value of minimum critical Reynolds number for the insulated surface decreases as the Mach number increases for the case of a uniform free-stream velocity. These general conclusions are supplemented by detailed calculations of the curves of wave number (inverse wave length) against Reynolds number for the neutral disturbances for 10 representative cases of insulated and noninsulated surfaces.


Advances in Applied Mechanics

Advances in Applied Mechanics
Author:
Publisher: Academic Press
Total Pages: 303
Release: 1948-01-01
Genre: Technology & Engineering
ISBN: 0080575544

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Advances in Applied Mechanics


Instability and Transition

Instability and Transition
Author: M.Y. Hussaini
Publisher: Springer Science & Business Media
Total Pages: 462
Release: 2012-12-06
Genre: Science
ISBN: 1461234301

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These two volumes contain the proceedings of the workshop on the Institute for Computer Instability and Transition, sponsored by Applications in Science and Engineering (ICASE) and the Langley Research Center (LaRC), during May 15 to June 9, 1989. The work shop coincided with the initiation of a new, focused research pro gram on instability and transition at LaRC. The objectives of the workshop were to (i) expose the academic community to current technologically important issues of instability and transition in shear flows over the entire speed range, (ii) acquaint the academic com munity with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these facilities, (iii) review current state-of-the-art and propose fu ture directions for instability and transition research, (iv) accelerate progress in elucidating basic understanding of transition phenomena and in transferring this knowledge into improved design methodolo gies through improved transition modeling, and (v) establish mech anisms for continued interaction. The objectives (i) to (iii) were of course immediately met. It is still premature to assess whether ob jectives (iv) and (v) are achieved. The workshop program consisted of tutorials, research presenta tions, panel discussions, experimental and computational demonstra tions, and collaborative projects.