# 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), 618-624.

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## Description/Abstract

Results from linear stability analysis are presented for a wide variety of mixing layers, including low-speed

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

boundary-layer equations. It is found that three-dimensional modes are dominant in the high-speed 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 Navier-Stokes 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 roll-up of vortices in the

high-speed 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 |
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ISSNs: | 0001-1452 (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 Deposited: | 18 Jan 2010 |

Last Modified: | 27 Mar 2014 18:51 |

URI: | http://eprints.soton.ac.uk/id/eprint/72048 |

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