Analytical theory for planar shock focusing through perfect gas lens and shock tube experiment designs

2011 ◽  
Vol 23 (1) ◽  
pp. 016101 ◽  
Author(s):  
M. Vandenboomgaerde ◽  
C. Aymard
Keyword(s):  
Shock Tube ◽  
Analytical Theory ◽  
Perfect Gas ◽  
Shock Focusing ◽  
Planar Shock ◽  
Shock Tube Experiment

Planar Shock Focusing Through Perfect Gas Lens: First Experimental Demonstration

2014 ◽  
Vol 136 (9) ◽  
Author(s):  
Laurent Biamino ◽  
Christian Mariani ◽  
Georges Jourdan ◽  
Lazhar Houas ◽  
Marc Vandenboomgaerde ◽  
...  
Keyword(s):  
Shock Wave ◽  
Shock Tube ◽  
Incident Shock ◽  
Incident Shock Wave ◽  
Shock Acceleration ◽  
Perfect Gas ◽  
Shock Focusing ◽  
Planar Case ◽  
Planar Shock ◽  
Planar Shock Wave

When a shock wave crosses an interface between two materials, this interface becomes unstable and the Richtmyer–Meshkov instability develops. Such instability has been extensively studied in the planar case, and numerous results were presented during the previous workshops. But the Richtmyer–Meshkov (Richtmyer, 1960, “Taylor Instability in Shock Acceleration of Compressible Fluids,” Commun. Pure Appl. Math., 13(2), pp. 297–319; Meshkov, 1969, “Interface of Two Gases Accelerated by a Shock Wave,” Fluid Dyn., 4(5), pp. 101–104) instability also occurs in a spherical case where the convergence effects must be taken into account. As far as we know, no conventional (straight section) shock tube facility has been used to experimentally study the Richtmyer–Meshkov instability in spherical geometry. The idea originally proposed by Dimotakis and Samtaney (2006, “Planar Shock Cylindrical Focusing by a Perfect-Gas Lens,” Phys. Fluid., 18(3), pp. 031705–031708) and later generalized by Vandenboomgaerde and Aymard (2011, “Analytical Theory for Planar Shock Focusing Through Perfect Gas Lens and Shock Tube Experiment Designs,” Phys. Fluid., 23(1), pp. 016101–016113) was to retain the flexibility of a conventional shock tube to convert a planar shock wave into a cylindrical one through a perfect gas lens. This can be done when a planar shock wave passes through a shaped interface between two gases. By coupling the shape with the impedance mismatch at the interface, it is possible to generate a circular transmitted shock wave. In order to experimentally check the feasibility of this approach, we have implemented the gas lens technique on a conventional shock tube with the help of a convergent test section, an elliptic stereolithographed grid, and a nitrocellulose membrane. First experimental sequences of schlieren images have been obtained for an incident shock wave Mach number equal to 1.15 and an air/SF6-shaped interface. Experimental results indicate that the shock that moves in the converging part has a circular shape. Moreover, pressure histories that were recorded during the experiments show pressure increase behind the accelerating converging shock wave.

Numerical simulation of Sharma's shock-tube experiment

1993 ◽  
Author(s):  
STEPHANE MOREAU ◽  
PIERRE-YVES BOURQUIN ◽  
DEAN CHAPMAN ◽  
ROBERT MACCORMACK
Keyword(s):  
Numerical Simulation ◽  
Shock Tube ◽  
Shock Tube Experiment

925 Determination of Condensation Coefficient for Methanol : Numerical Analysis Based on Molecular Gas Dynamics for Shock Tube Experiment

2005 ◽  
Vol 2005.7 (0) ◽  
pp. 87-88
Author(s):  
Kazumichi KOBAYASHI ◽  
Satoru MIKAMI ◽  
Tatsuki OTA ◽  
Takeru YANO ◽  
Shigeo FUJIKAWA ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Shock Tube ◽  
Gas Dynamics ◽  
Molecular Gas ◽  
Condensation Coefficient ◽  
Shock Tube Experiment

Marvel‐Nuclear Driven Shock‐Tube Experiment

1970 ◽  
Vol 41 (2) ◽  
pp. 689-697 ◽  
Author(s):  
H. D. Glenn ◽  
B. K. Crowley
Keyword(s):  
Shock Tube ◽  
Shock Tube Experiment

Shock wave propagation in non-uniform gas mixtures

2011 ◽  
Vol 226 (2) ◽  
pp. 123-130
Author(s):  
J Falcovitz ◽  
O Igra ◽  
D Igra
Keyword(s):  
Shock Wave ◽  
Wave Propagation ◽  
Shock Tube ◽  
Mass Fraction ◽  
Molar Fraction ◽  
Gaseous Mixture ◽  
Linear Distribution ◽  
Wave Patterns ◽  
Driver Section ◽  
Shock Tube Experiment

We consider a classical shock tube with Helium-filled driver section, and a driven section filled with a He– Ar gaseous mixture of continuously varying composition. We simulate a shock tube experiment, where the driven section composition starts out with pure Ar and ends with pure He (denoted ‘ − ’), or vice versa (denoted ‘+’). The initial pressures are 2 and 0.01 MPa. Two alternate initial species compositions are assumed: ‘Molar fraction’ – a linear distribution of the molar fraction; ‘Mass Fraction’ – a linear distribution of the mass fraction. Wave patterns arising in every case are presented and discussed.

Shock tube experiment: half-height dense gas region

2008 ◽  
Vol T132 ◽  
pp. 014015 ◽  
Author(s):  
T A Ota ◽  
C J Barton ◽  
D A Holder
Keyword(s):  
Shock Tube ◽  
Dense Gas ◽  
Half Height ◽  
Shock Tube Experiment

scholarly journals Planar shock cylindrical focusing by a perfect-gas lens

2006 ◽  
Vol 18 (3) ◽  
pp. 031705 ◽  
Author(s):  
P. E. Dimotakis ◽  
R. Samtaney
Keyword(s):  
Perfect Gas ◽  
Planar Shock
Sign in / Sign up

Export Citation Format

Share Document