Numerical modeling of the particle velocity and thermal relaxation behind passing shock waves

2016 ◽  
Author(s):  
I. A. Bedarev ◽  
A. V. Fedorov
Keyword(s):  
Numerical Modeling ◽  
Shock Waves ◽  
Particle Velocity ◽  
Thermal Relaxation

The relaxation zone behind normal shock waves in a reacting dusty gas. Part 1. Monatomic gases

1982 ◽  
Vol 27 (3) ◽  
pp. 377-395 ◽  
Author(s):  
G. Ben-Dor ◽  
O. Igra
Keyword(s):  
Shock Waves ◽  
Thermal Relaxation ◽  
Normal Shock ◽  
Dust Particles ◽  
Relaxation Length ◽  
Degree Of Ionization ◽  
Relaxation Zone ◽  
Post Shock ◽  
Free Case ◽  
Mach Numbers

The conservation equations for a suspension composed of an ionized gas and small solid dust particles are formulated and solved numerically. Such flows can be found downstream of strong normal shock waves propagating into dusty gases. The solution indicates that the presence of the dust has a significant effect on the post-shock flow field. Owing to the dust, the relaxation zone will be longer than in the pure plasma case; the equilibrium values for the suspension pressure and density will be higher than in the dust-free case, while the obtained values for the temperature, degree of ionization and velocity will be lower. The numerical solution was executed for shock Mach numbers ranging from 10 to 17. It was found that the thermal relaxation length for the plasma decreases rapidly with increasing shock Mach number, while the thermal relaxation length for the suspension mildly increases with increasing M. The kinematic relaxation length passes through a pronounced maximum at i M = 12·5. Throughout the investigated range of Mach numbers, the kinematic relaxation is longer than the suspension thermal relaxation length.

Numerical modeling of supersonic two-phase jet flows with explicit separation of shock waves

1987 ◽  
Vol 53 (1) ◽  
pp. 763-767
Author(s):  
�. I. Vitkin ◽  
L. T. Perel'man ◽  
Yu. V. Khodyko
Keyword(s):  
Numerical Modeling ◽  
Shock Waves ◽  
Jet Flows ◽  
Two Phase

scholarly journals Cherenkov-like shock waves associated with surpassing the light velocity barrier

1999 ◽  
Vol 77 (7) ◽  
pp. 561-569 ◽  
Author(s):  
G N Afanasiev ◽  
V G Kartavenko
Keyword(s):  
Shock Wave ◽  
Charged Particle ◽  
Shock Waves ◽  
Particle Velocity ◽  
Point Charge ◽  
Uniform Electric Field ◽  
Charge Motion ◽  
Light Velocity ◽  
Accelerated Motion ◽  
The Moment

The effects arising from the accelerated and decelerated motion of a point charge inside a medium are studied. The motion is manifestly relativistic and may be produced by a constant uniform electric field. It is shown that in addition to the bremsstrahlung and Cherenkov shockwaves, the electromagnetic shock wave arises when the charged-particle velocity coincides with the light velocity in the medium. For the accelerated motion, this shock wave, forming an indivisible entity with the Cherenkov shock wave, arrives after the arrival of the bremsstrahlung shock wave. For the decelerated motion the above shock wave detaches from the charge at the moment when its velocity coincides with the light velocity in the medium. This wave, existing even aftertermination of the charge motion, propagates with the velocity of light in the medium. It has the same singularity as the Cherenkov shock wave andis more singular than the bremsstrahlung shock wave.The space-time regions, where these shock waves exist, and conditions under which they can be observed are determined.PACS No.: 41.60

scholarly journals Numerical Modeling of the Internal Dispersive Shock Wave in the Ocean

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Tatiana Talipova ◽  
Efim Pelinovsky ◽  
Oxana Kurkina ◽  
Andrey Kurkin
Keyword(s):  
Shock Wave ◽  
Numerical Modeling ◽  
Shock Waves ◽  
Vries Equation ◽  
Initial Conditions ◽  
The Arctic ◽  
Physical Oceanography ◽  
Cubic Nonlinearity ◽  
Sharp Drop ◽  
Soliton Theory

Numerical modeling of dispersive shock waves called solibore in a stratified fluid is conducted. The theoretical model is based on extended version of the Korteweg-de Vries equation which takes into account the effects of cubic nonlinearity and Earth rotation. This model is now very popular in the physical oceanography. Initial conditions for simulations correspond to the real observed internal waves of shock-like shape in the Pechora Sea, the Arctic. It is shown that a sharp drop (like kink in the soliton theory) in the depth of the thermocline is conserved at a distance of one–three kilometers, and then it is transformed into dispersive shock waves (shock wave with undulations).

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