Self-similar solutions for mixing layers in supersonic flow and in subsonic flow with variable density are examined. The equation for the velocity profile is derived for a unity turbulent Prandtl number and/or prescribed density distributions. It is found that the shape of the velocity profile is not sensitive to Mach number and is nearly the same for supersonic layers with moderate convective Mach numbers and in low speed flows with variable density: in such conditions, the only compressibility effect is found on the rate of spread. It is also found that turbulent friction is a function of Mach number and of velocity and density ratios. The effect of these last parameters on turbulent friction in low speed layers is proposed. Finally the scaling for turbulent shear stress last parameters on turbulent friction in low speed layers is proposed. Finally the scaling for turbulent shear strees in supersonic mixing layer is discussed. A simple formulation is proposed, in which the effects of density ratio and convective Mach number can be sepearated, as it is usually done for the rate of spread.
Skip Nav Destination
ASME 2003 International Mechanical Engineering Congress and Exposition
November 15–21, 2003
Washington, DC, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3716-5
PROCEEDINGS PAPER
Density and Compressibility Effects on the Structure of Supersonic Mixing Layer: Experimental Results and Similarity Analysis
M. Menaa,
M. Menaa
Universite´ des Sciences et de la Technologie Houari Boumedie`ne, Alger, Alge´rie
Search for other works by this author on:
J. P. Dussauge
J. P. Dussauge
Universite´ d’Aix Marseille, Marseille, France
Search for other works by this author on:
M. Menaa
Universite´ des Sciences et de la Technologie Houari Boumedie`ne, Alger, Alge´rie
J. P. Dussauge
Universite´ d’Aix Marseille, Marseille, France
Paper No:
IMECE2003-42509, pp. 359-378; 20 pages
Published Online:
May 12, 2008
Citation
Menaa, M, & Dussauge, JP. "Density and Compressibility Effects on the Structure of Supersonic Mixing Layer: Experimental Results and Similarity Analysis." Proceedings of the ASME 2003 International Mechanical Engineering Congress and Exposition. Fluids Engineering. Washington, DC, USA. November 15–21, 2003. pp. 359-378. ASME. https://doi.org/10.1115/IMECE2003-42509
Download citation file:
8
Views
0
Citations
Related Proceedings Papers
Related Articles
Supersonic Flow Calculations Using a Reynolds-Stress and a Thermal Eddy Diffusivity Turbulence Model
J. Fluids Eng (September,1994)
Compressibility and Variable Density Effects in Turbulent Boundary layers
J. Heat Transfer (April,2007)
The Influence of Compressibility on the Aerodynamics of an Inverted Wing in Ground Effect
J. Fluids Eng (June,2011)
Related Chapters
Applications
Introduction to Finite Element, Boundary Element, and Meshless Methods: With Applications to Heat Transfer and Fluid Flow
Introduction
Mechanical Blood Trauma in Circulatory-Assist Devices
Cavitating Structures at Inception in Turbulent Shear Flow
Proceedings of the 10th International Symposium on Cavitation (CAV2018)