Skip to main content
×
×
Home

Interaction of oblique shock waves and planar mixing regions

  • D. R. Buttsworth (a1) (a2)
Abstract

An analysis for predicting the interaction of a steady oblique shock wave and a planar mixing region is presented. Specifically, an equation for the shock curvature was obtained from the shock wave and isentropic wave difference equations which govern the shock transmission within a region of varying Mach number. The effects of nonuniform gas composition within the mixing region were assessed using a similar treatment; however, the wave equations were expanded in terms of a varying ratio of specific heats instead of a varying Mach number. An expression for the shock-induced vorticity due to velocity and density gradients within the mixing region was also obtained. This expression provides a means of estimating the possible mixing augmentation induced in various shock wave-mixing region interactions. When the velocity and density gradients within the mixing region oppose each other, it is demonstrated that the pre-shock vorticity may be attenuated by the shock. Applications of the analysis are discussed with reference to specific examples involving mixing augmentation and shock oscillation.

Copyright
References
Hide All
Anderson, G., Kumar, A. & Erdos, J. 1990 Progress in hypersonic combustion technology with computation and experiment. AIAA Paper 90-5254.
Anyiwo, J. C. & Bushnell, D. M. 1982 Turbulence amplification in shock-wave boundary layer interaction. AIAA J. 20, 893899.
Buttsworth, D. R. 1994 Shock induced mixing and combustion in scramjets. PhD thesis, Department of Mechanical Engineering, The University of Queensland.
Drummond, J. P. 1991 Mixing enhancement of reacting parallel fuel jets in a supersonic combustor. AIAA Paper 91-1914.
Drummond, J. P., Carpenter, M. H. & Riggins, D. W. 1991 Mixing and mixing enhancement in supersonic reacting flowfields. In High-Speed Flight Propulsion Systems (ed.S. N. B. Murthy & E. T. Curran). Progress in Astronautics and Aeronautics, vol. 137, pp. 383455. AIAA.
Fernando, E. M. & Menon, S. 1993 Mixing enhancement in compressible mixing layers: an experimental study. AIAA J. 31, 278285.
Gilreath, H. E. & Sullins, G. A. 1989 Investigation of the mixing of parallel supersonic streams. ISABE Paper 89-7060.
Guirguis, R. H. 1988 Mixing enhancement in supersonic shear layers: III. Effect of convective Mach number. AIAA Paper 88-0701.
Hall, J. L., Dimotakis, P. E. & Roseman, H. 1993 Experiments in nonreacting compressible shear layers. AIAA J. 31, 22472254.
Hayes, W. D. 1957 The vorticity jump across a gasdynamic discontinuity. J. Fluid Mech. 2, 595600.
Hayes, W. D. & Probstien, R. F. 1959 Hypersonic Flow Theory, 1st edn. Academic press.
Henderson, L. F. 1967 The reflexion of a shock wave at a rigid wall in the presence of a boundary layer. J. Fluid Mech. 30, 699722.
Hyde, C. R., Smith, B. R., Schetz, J. A. & Walker, D. A. 1990 Turbulence measurements for heated gas slot injection in supersonic flow. AIAA J. 28, 16051614.
Kumar, A., Bushnell, D. M. & Hussaini, M. Y. 1989 Mixing augmentation technique for hypervelocity scramjets. J. Propulsion Power 5, 514522.
Li, C., Kailasanath, K. & Book, D. L. 1991 Mixing enhancement by expansion waves in supersonic flows of different densities. Phys. Fluids A 3, 13691373.
Liepmann, H. W. & Roshko, A. 1957 Elements of Gasdynamics. Wiley.
Lighthill, M. J. 1957 Dynamics of a dissociating gas. Part 1. Equilibrium flow. J. Fluid Mech. 2, 132.
Marble, F. E., Hendricks, G. J. & Zukoski, E. E. 1987 Progress toward shock enhancement of supersonic combustion processes. AIAA Paper 87-1880.
Marble, F. E., Zukoski, E. E., Jacobs, J. W. & Hendricks, G. J. 1990 Shock enhancement of and control of hypersonic mixing and combustion. AIAA Paper 90-1981.
Menon, S. 1989 Shock-wave-induced mixing enhancement in scramjet combustors. AIAA Paper 89-0104.
McKenzie, J. F. & Westphal, K. O. 1968 Interaction of linear waves with oblique shocks. Phys. Fluids 11, 23502362.
Morkovin, M. V. 1960 Note on the assessment of flow disturbances at a blunt body travelling at supersonic speeds owing to flow disturbances in free stream. Trans ASME E: J. Appl. Mech. 27, 223229.
Northam, G. B. & Anderson, G. Y. 1986 Supersonic combustion ramjet research at Langley. AIAA Paper 86-0159.
Northam, G. B., Capriotti, D. P., Byington, C. S. & Greenberg, I. 1991 Supersonic mixing and combustion in scramjets. ISABE Paper 91-7095.
Randolph, H., Chew, L. & Johari, H. 1994 Pulsed jets in supersonic crossflow. J. Propulsion Power 10, 746748.
Ribner, H. S. 1987 Spectra of noise and amplified turbulence emanating from shock-turbulence interaction. AIAA J. 25, 436442.
Riley, N. 1959 Interaction of a shock wave with a mixing region. J. Fluid Mech. 7, 321339.
Roshko, A. & Thomke, G. J. 1970 Supersonic, turbulent boundary-layer interaction with a compression corner at very high Reynolds number. In Viscous Interaction Phenomena in Supersonic and Hypersonic Flow, pp. 109138. University of Dayton Press, Ohio.
Roy, G. D. 1991 Subsonic and supersonic mixing and combustion enhancement. ISABE Paper 91-7093.
Schadow, K. C., Gutmark, E. & Wilson, K. J. 1990 Compressible spreading rates of supersonic coaxial jets. Exps. Fluids 10, 161167.
Shau, Y. R. & Dolling, D. S. 1992 Exploratory study of turbulent structure of a compressible shear layer using fluctuating Pitot pressure measurements. Exps. Fluids 12, 293306.
Shau, Y. R., Dolling, D. S. & Choi, K. Y. 1993 Organized structure in a compressible turbulent shear layer. AIAA J. 31, 13981405.
Sullins, G. A., Gilreath, H. E., Mattes, L. A., King, P. S. & Schetz, J. A. 1991 Instabilities in confined supersonic mixing layers. ISABE Paper 91-7096.
Tillman, T. G., Patrick, W. P. & Paterson, R. V. 1991 Enhanced mixing of supersonic jets. J. Propulsion Power 7, 10061014.
Truesdell, C. 1952 On curved shocks in steady plane flow of an ideal fluid. J. Aero. Sci. 19, 826828.
Vasilev, V. I., Zakotenko, S. N., Kraskeninnikov, S. Ju & Stepanov, V. A. 1994 Numerical investigation of mixing augmentation behind oblique shock waves. AIAA J. 32, 311316.
Waitz, I. A., Marble, F. E. & Zukoski, E. E. 1993 Investigation of a contoured wall injector for hypervelocity mixing augmentation. AIAA J. 31, 10141021.
Yang, J., Kubota, T. & Zukoski, E. E. 1993 Applications of shock-induced mixing to supersonic combustion. AIAA J. 31, 854862.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 47 *
Loading metrics...

Abstract views

Total abstract views: 189 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 12th June 2018. This data will be updated every 24 hours.