One-dimensional non-equilibrium shock wave structure analysis by simplified conventional Burnett equations

2016 ◽  
Author(s):  
Chun Shao ◽  
Wenwen Zhao ◽  
Weifang Chen
Keyword(s):  
Shock Wave ◽  
Structure Analysis ◽  
Wave Structure ◽  
Burnett Equations ◽  
Shock Wave Structure ◽  
One Dimensional ◽  
Non Equilibrium

Shock wave structure for generalized Burnett equations

2011 ◽  
Vol 23 (3) ◽  
pp. 030607 ◽  
Author(s):  
A. V. Bobylev ◽  
M. Bisi ◽  
M. P. Cassinari ◽  
G. Spiga
Keyword(s):  
Shock Wave ◽  
Wave Structure ◽  
Burnett Equations ◽  
Shock Wave Structure

Modification of the burnett equations and shock wave structure

1998 ◽  
Vol 33 (3) ◽  
pp. 433-442
Author(s):  
O. G. Buzykin ◽  
V. S. Galkin ◽  
V. I. Nosik
Keyword(s):  
Shock Wave ◽  
Wave Structure ◽  
Burnett Equations ◽  
Shock Wave Structure

scholarly journals A non-equilibrium kinetic description of shock-wave structure

1970 ◽  
Vol 315 (1521) ◽  
pp. 195-215
Keyword(s):  
Shock Wave ◽  
Kinetic Model ◽  
Prandtl Number ◽  
Stokes Equations ◽  
Wave Structure ◽  
Navier Stokes ◽  
Shock Wave Structure ◽  
Total Enthalpy ◽  
Mach Numbers ◽  
Non Equilibrium

A formulation for the shock-wave structure is devised by the approximation of Boltzmann’s equation by a simpler kinetic model. Initially, the distribution function in Boltzmann’s colli­sion integral is expressed in terms of a function of deviation from local equilibrium, the magnitude of which is unrestricted, and the analysis is specialized to hard sphere molecules. A model is then derived by assigning to the deviation function the first-order term of Chapman–Enskog’s sequence which leads to Navier–Stokes equations. The model equation is shown to possess a description of a gas in a non-equilibrium state and to imply a Prandtl number value of 2/3, the formulation also containing the Bhatnagar–Gross–Krook model as a special case. In applying the kinetic model to the shock problem, the collision frequency of the loss term is replaced by a set of mean frequencies (independent of the molecular velocity) each of which characterizes a specific macroscopic quantity. The shock equations are evaluated numerically for argon employing an interation scheme that is initiated by the Navier–Stokes solution. One iteration only to the flow variables is performed. For weak shocks the iteration proves to be in very close agreement with the Navier-Stokes solution for a Prandtl number of 2/3; at higher Mach numbers, the iteration predicts a pro­gressively larger deviation, especially in the temperature profile. In addition, the density and velocity profiles exhibit a ‘kink’ at Mach numbers 5 and 10. Unlike the Navier–Stokes predictions, the results also show that for high Mach numbers the total enthalpy within the shock no longer remains sensibly constant.

scholarly journals Nematic Dispersive Shock Waves from Nonlocal to Local

2021 ◽  
Vol 11 (11) ◽  
pp. 4736
Author(s):  
Saleh Baqer ◽  
Dimitrios J. Frantzeskakis ◽  
Theodoros P. Horikis ◽  
Côme Houdeville ◽  
Timothy R. Marchant ◽  
...  
Keyword(s):  
Shock Wave ◽  
Liquid Crystals ◽  
Shock Waves ◽  
Numerical Solutions ◽  
Wave Structure ◽  
Beam Power ◽  
Input Beam ◽  
Shock Wave Structure ◽  
Wave Solutions ◽  
Modulation Theory

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.

The double shock wave structure in the solar wind

1967 ◽  
Vol 72 (21) ◽  
pp. 5275-5286 ◽  
Author(s):  
G. Schubert ◽  
W. D. Cummings
Keyword(s):  
Shock Wave ◽  
Solar Wind ◽  
Wave Structure ◽  
Shock Wave Structure

Shock wave structure in nonlinear dielectrics

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