An Extension of the Theory of the One-Dimensional Shock-Wave Structure

Author(s):  
LEONARD MEYERHOFF
Author(s):  
J S Anderson ◽  
G E A Meier

The steady, transonic flow in a rectangular duct following an abrupt change in section has been studied by measuring the density with a Mach-Zehnder interferometer and velocity with a laser-Doppler velocimeter. The flow structure was controlled either by a single, normal shock wave or by a series of reflected oblique shocks. In the case of the normal shock wave structure the one-dimensional compressible flow theory was found to apply adequately to the overall duct. Within the duct the flow was not one-dimensional, but had a minimum velocity in the centre and four shear layers.


2021 ◽  
Vol 11 (11) ◽  
pp. 4736
Author(s):  
Saleh Baqer ◽  
Dimitrios J. Frantzeskakis ◽  
Theodoros P. Horikis ◽  
Côme Houdeville ◽  
Timothy R. Marchant ◽  
...  

The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is varied, with six regimes identified, which complements previous work pertinent to low power beams only. It is found that the dispersive shock wave structure depends critically on the input beam power. In addition, it is known that nematic dispersive shock waves are resonant and the structure of this resonance is also critically dependent on the beam power. Whitham modulation theory is used to find solutions for the six regimes with the existence intervals for each identified. These dispersive shock wave solutions are compared with full numerical solutions of the nematic equations, and excellent agreement is found.


1967 ◽  
Vol 72 (21) ◽  
pp. 5275-5286 ◽  
Author(s):  
G. Schubert ◽  
W. D. Cummings

1976 ◽  
Vol 10 (1) ◽  
pp. 237-240 ◽  
Author(s):  
Rolf Landauer

2014 ◽  
Vol 40 (6) ◽  
pp. 533-536 ◽  
Author(s):  
I. A. Znamenskaya ◽  
I. E. Ivanov ◽  
I. A. Kryukov ◽  
I. V. Mursenkova ◽  
M. Yu. Timokhin

2016 ◽  
Author(s):  
M. Yu. Timokhin ◽  
H. Struchtrup ◽  
A. A. Kokhanchik ◽  
Ye. A. Bondar

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