Compressible mixing layer: linear theory and direct simulation
Sandham, N.D. and Reynolds, W.C. (1990) Compressible mixing layer: linear theory and direct simulation. AIAA Journal, 28, (4), 618624.
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Description/Abstract
Results from linear stability analysis are presented for a wide variety of mixing layers, including lowspeed
layers with variable density and high Mach number mixing layers. The linear amplification predicts correctly the
experimentally observed trends in growth rate that are due to velocity ratio, density ratio, and Mach number,
provided that the spatial theory is used and the mean flow is a computed solution of the compressible
boundarylayer equations. It is found that threedimensional modes are dominant in the highspeed mixing layer
above a convective Mach number of 0.6, and a simple relationship is proposed that approximately describes the
orientation of these waves. Direct numerical simulations of the compressible NavierStokes equations are used
to show the reduced growth rate that is due to increasing Mach number. From consideration of the compressible
vorticity equation, it is found that the dominant physics controlling the nonlinear rollup of vortices in the
highspeed mixing layer is contained in an elementary form in the linear eigenfunctions. It is concluded that the
linear theory can be very useful for investigating the physics of free shear layers and predicting the growth rate
of the developed plane mixing layer
Item Type:  Article  

ISSNs:  00011452 (print) 

Related URLs:  
Subjects:  T Technology > TL Motor vehicles. Aeronautics. Astronautics  
Divisions:  University Structure  Pre August 2011 > School of Engineering Sciences 

ePrint ID:  72048  
Date : 


Date Deposited:  18 Jan 2010  
Last Modified:  31 Mar 2016 13:03  
URI:  http://eprints.soton.ac.uk/id/eprint/72048 
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