Skip to main content
Erschienen in: Experiments in Fluids 7/2013

01.07.2013 | Research Article

Weak shock wave reflection from concave surfaces

verfasst von: Sebastien Gruber, Beric Skews

Erschienen in: Experiments in Fluids | Ausgabe 7/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The reflection of very weak shock waves from concave curved surfaces has not been well documented in the past, and recent studies have shown the possible existence of a variation in the accepted reflection configuration evolution as a shock wave encounters an increasing gradient on the reflecting surface. The current study set out to investigate this anomaly using high-resolution photography. Shock tube tests were done on various concave circular and parabolic geometries, all with zero initial ramp angle. Although the results have limitations due to the achievable image resolution, the results indicate that for very weak Mach numbers, M S  < 1.1, there may be a region in which the reflection configuration resembles that of a regular reflection, unlike for the stronger shock wave case. This region exists after the triple point of the Mach reflection meets the reflecting surface and prior to the formation of the additional shock structures that represent a transitioned regular reflection. The Mach and transitioned regular reflections at 1.03 < M s  < 1.05 also exhibit no signs of a visible shear layer, or a clear discontinuity at the triple point, and are thus also apparently different in the weak shock regime than what has been described for stronger shocks, similar to what has been shown for weak shocks reflecting off a plane wedge.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Ben-Dor G (2007) Shock wave reflection phenomena. Springer, BerlinMATH Ben-Dor G (2007) Shock wave reflection phenomena. Springer, BerlinMATH
Zurück zum Zitat Ben-Dor G, Takayama K, Dewey JM (1987) Further analytical considerations of weak planar shock wave reflections over a concave wedge. Fluid Dyn Res 2:77–85CrossRef Ben-Dor G, Takayama K, Dewey JM (1987) Further analytical considerations of weak planar shock wave reflections over a concave wedge. Fluid Dyn Res 2:77–85CrossRef
Zurück zum Zitat Birkoff G (1950) Hydrodynamics, a study of logic and similitude, 1st edn. Princeton University Press, Princeton Birkoff G (1950) Hydrodynamics, a study of logic and similitude, 1st edn. Princeton University Press, Princeton
Zurück zum Zitat Cachucho A, Skews BW (2012) Guderley reflection for higher Mach numbers in a standard shock tube. Shock Waves 22:141–149CrossRef Cachucho A, Skews BW (2012) Guderley reflection for higher Mach numbers in a standard shock tube. Shock Waves 22:141–149CrossRef
Zurück zum Zitat Colella P, Henderson LF (1990) The von Neumann paradox for the diffraction of weak shock waves. J Fluid Mech 213:71–94MathSciNetCrossRef Colella P, Henderson LF (1990) The von Neumann paradox for the diffraction of weak shock waves. J Fluid Mech 213:71–94MathSciNetCrossRef
Zurück zum Zitat Hakkaki-Fard A, Timofeev E (2012) Determination of the sonic point in unsteady shock reflections using various techniques based on numerical flowfield analysis. In: Kontis K (ed) 28th international symposium on shock waves, Springer, Berlin, pp 643–648 Hakkaki-Fard A, Timofeev E (2012) Determination of the sonic point in unsteady shock reflections using various techniques based on numerical flowfield analysis. In: Kontis K (ed) 28th international symposium on shock waves, Springer, Berlin, pp 643–648
Zurück zum Zitat Henderson LF, Lozzi A (1975) Experiments on transition of Mach reflexion. J Fluid Mech 68:139–155CrossRef Henderson LF, Lozzi A (1975) Experiments on transition of Mach reflexion. J Fluid Mech 68:139–155CrossRef
Zurück zum Zitat Marchiano R, Coulouvrat F, Baskar S (2007) Experimental evidence of deviation from mirror reflection for acoustical shock waves. Phys Rev E 76:056602 Marchiano R, Coulouvrat F, Baskar S (2007) Experimental evidence of deviation from mirror reflection for acoustical shock waves. Phys Rev E 76:056602
Zurück zum Zitat Sakurai A, Henderson LF, Takayama K, Walenta Z, Colella P (1989) On the von Neumann paradox of weak Mach reflection. Fluid Dyn Res 4:333–345CrossRef Sakurai A, Henderson LF, Takayama K, Walenta Z, Colella P (1989) On the von Neumann paradox of weak Mach reflection. Fluid Dyn Res 4:333–345CrossRef
Zurück zum Zitat Skews BW, Kleine H (2009) Unsteady flow diagnostics using weak perturbations. Exp Fluids 46:65–76CrossRef Skews BW, Kleine H (2009) Unsteady flow diagnostics using weak perturbations. Exp Fluids 46:65–76CrossRef
Zurück zum Zitat Skews BW, Kleine H (2009) Shock wave interactions with concave cavities, shock waves. In: Hannemann K, Seiler F (eds) Proceedings of the 26th international symposium on shock waves, Springer, Berlin Skews BW, Kleine H (2009) Shock wave interactions with concave cavities, shock waves. In: Hannemann K, Seiler F (eds) Proceedings of the 26th international symposium on shock waves, Springer, Berlin
Zurück zum Zitat Skews BW, Kleine H, Barber T, Iannuccelli M (2007) New flow features in a cavity during shock wave impact In: Proceedings of the 16th Australasian fluid mechanics conference, Gold Coast Skews BW, Kleine H, Barber T, Iannuccelli M (2007) New flow features in a cavity during shock wave impact In: Proceedings of the 16th Australasian fluid mechanics conference, Gold Coast
Zurück zum Zitat Skews BW, Kleine H, Bode C, Gruber S (2008) Shock wave reflection from curved surfaces, XXII International Congress of Theoretical and Applied Mechanics, Adelaide Skews BW, Kleine H, Bode C, Gruber S (2008) Shock wave reflection from curved surfaces, XXII International Congress of Theoretical and Applied Mechanics, Adelaide
Zurück zum Zitat Smith LG (1945) Photographic investigation of the reflection of plane shocks in air, OSRD Rep 6271, Off Sci Res Dev, Washington DC Smith LG (1945) Photographic investigation of the reflection of plane shocks in air, OSRD Rep 6271, Off Sci Res Dev, Washington DC
Zurück zum Zitat Takayama K, Ben-Dor G (1986) Reflection and diffraction of shock waves over a circular concave wall, report 378, Institute of High Speed Mechanics, Tohoku University, Japan Takayama K, Ben-Dor G (1986) Reflection and diffraction of shock waves over a circular concave wall, report 378, Institute of High Speed Mechanics, Tohoku University, Japan
Zurück zum Zitat Takayama K, Sasaki M (1983) Effects of radius of curvature and initial angle on the shock transition over concave and convex walls, report 353, Institute of High Speed Mechanics, Tohoku University, Japan Takayama K, Sasaki M (1983) Effects of radius of curvature and initial angle on the shock transition over concave and convex walls, report 353, Institute of High Speed Mechanics, Tohoku University, Japan
Zurück zum Zitat von Neumann J (1963) Collected works of J. von Neumann vol 6. Pergamon Press, Oxford von Neumann J (1963) Collected works of J. von Neumann vol 6. Pergamon Press, Oxford
Metadaten
Titel
Weak shock wave reflection from concave surfaces
verfasst von
Sebastien Gruber
Beric Skews
Publikationsdatum
01.07.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Experiments in Fluids / Ausgabe 7/2013
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-013-1571-x

Weitere Artikel der Ausgabe 7/2013

Experiments in Fluids 7/2013 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.