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On the Instability of Hypersonic Flow Past a Flat Plate

On the Instability of Hypersonic Flow Past a Flat Plate
Author: Institute for Computer Applications in Science and Engineering
Publisher:
Total Pages: 60
Release: 1990
Genre:
ISBN:

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The instability of hypersonic boundary-layer flows over flat plates is considered. The viscosity of the fluid is taken to be governed by Sutherland's law, which gives a much more accurate representation of the temperature dependence of fluid viscosity at hypersonic speeds than Chapmans's approximate linear law; although at lower speeds the temperature variation of the mean state is less pronounced so that the Chapman law can be used with some confidence. Attention is focussed on the so-called vorticity mode of instability of the viscous hypersonic boundary layer. The instability of the hypersonic boundary layer is non-interactive. The vorticity mode of instability of this flow operates on a significantly different lengthscale than that obtained if a Chapman viscosity law is assumed. The growth rate predicted by a linear viscosity law overestimates the size of the growth rate by O (M-sq). Next, the development of the vorticity mode as the wavenumber decreases is described, and it is shown that acoustic modes emerge when the wavenumber has decreased from it's O(1) initial value to O (M to the -3/2 power). (jhd).


Laminar-Turbulent Transition

Laminar-Turbulent Transition
Author: H.F. Fasel
Publisher: Springer Science & Business Media
Total Pages: 703
Release: 2013-03-09
Genre: Science
ISBN: 3662039974

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The origins of turbulent flow and the transition from laminar to turbulent flow are among the most important unsolved problems of fluid mechanics and aerodynamics. Besides being a fundamental question of fluid mechanics, there are any number of applications for information regarding transition location and the details of the subsequent turbulent flow. The JUT AM Symposium on Laminar-Turbulent Transition, co-hosted by Arizona State University and the University of Arizona, was held in Sedona, Arizona. Although four previous JUT AM Symposia bear the same appellation (Stuttgart 1979, Novosibirsk 1984, Toulouse 1989, and Sendai 1994) the topics that were emphasized at each were different and reflect the evolving nature of our understanding of the transition process. The major contributions of Stuttgart 1979 centered on nonlinear behavior and later stages of transition in two-dimensional boundary layers. Stability of closed systems was also included with Taylor vortices in different geometries. The topics of Novosibirsk 1984 shifted to resonant wave interactions and secondary instabilities in boundary layers. Pipe- and channel-flow transition were discussed as model problems for the boundary layer. Investigations of free shear layers were presented and a heavy dose of supersonic papers appeared for the first time. The character of Toulouse 1989 was also different in that 3-D boundary layers, numerical simulations, streamwise vortices, and foundation papers on receptivity were presented. Sendai 1994 saw a number of papers on swept wings and 3-D boundary layers. Numerical simulations attacked a broader range of problems.


Hypersonic Flow Over a Wedge with Upstream Non-uniformities and Variable Wedge Angle

Hypersonic Flow Over a Wedge with Upstream Non-uniformities and Variable Wedge Angle
Author: A. R. George
Publisher:
Total Pages: 150
Release: 1964
Genre: Aerodynamics, Hypersonic
ISBN:

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The paper analyzes the supersonic and hypersonic flow over a wedge placed in a parallel buut non-uniform free stream. The free stream property or velocity gradients are assumed to be small and in the spanwise direction. The substitution principle allows the transformation of a general non-uniform parallel free stream into one with constant velocity. In both the supersonic and hypersonic cases a perturbation analysis is used giving linear theories. Thus superposition is valid under certain restrictions and the problem treated is taken to be a small spanwise step in free stream properties. As the flow will then be conical the problem may be reduced to dependence upon only two independent variables. For hypersonic flows the perturbations of a strong shock, slender wedge flow due to either a free stream property or wedge angle discontinuity are obtained. The primary complicating features of the analysis are finding the shape of the perturbed shock wave and the treatment of the vorticity introduced by the curvature of the shock wave.


Instability, Transition, and Turbulence

Instability, Transition, and Turbulence
Author: M.Y. Hussaini
Publisher: Springer Science & Business Media
Total Pages: 626
Release: 2012-12-06
Genre: Science
ISBN: 1461229561

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This volume contains the proceedings of the Workshop on In stability, Transition and Turbulence, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC), during July 8 to August 2, 1991. This is the second workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Instability and Transition" edited by M. Y. Hussaini and R. G. Voigt. The objectives of these work shops are to i) expose the academic community to current technologically im portant issues of transition and turbulence in shear flows over the entire speed range, ii) acquaint the academic community with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these capabilities, and iii) accelerate progress in elucidating the fundamental phenomena of transition and turbulence, leading to improved transition and turbulence modeling in design methodologies. The research areas covered in these proceedings include receptiv ity and roughness, nonlinear theories of transition, numerical simu lation of spatially evolving flows, modelling of transitional and fully turbulent flows as well as some experiments on instability and tran sition. In addition a one-day mini-symposium was held to discuss 1 recent and planned experiments on turbulent flow over a backward facing step.