Linear analysis on pressure-dilatation behind shock waves

Author:

Chen Chang Hsin12ORCID

Affiliation:

1. Department of Mechanical Engineering, University of Connecticut 1 , Storrs, Connecticut 06269, USA

2. Department of Aerospace Engineering, Texas A&M University 2 , College Station, Texas 77843, USA

Abstract

Linear interaction analysis is a popular tool to analyze shock–turbulence interactions. With assumptions that simplify the complicated two-way interactions, linear analysis presents explicit solutions for post-shock turbulence. The present work extends the analytical expressions to pressure-dilatation. Both the streamwise and transverse components are presented as a function of mean Mach number and streamwise location. The proposed solutions for pressure-dilatation agree well with data from direct numerical simulations when the adopted assumptions in linear analysis are met. The spatial evolutions under different flow conditions are presented, and the asymptotic states observed with increasing Mach number are discussed.

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Reference32 articles.

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2. H. S. Ribner, “Shock-turbulence interaction and the generation of noise,” Report No. NACA TR-1233 (NACA, 1954).

3. F. K. Moore, “Unsteady oblique interaction of a shock wave with a plane disturbance,” Report No. NACA 1165 (NACA, 1954).

4. Turbulence amplification in shock-wave boundary-layer interaction;AIAA J.,1982

5. Interaction of an isotropic field of acoustic waves with a shock wave;J. Fluid Mech.,1995

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