Self-Similar Reflection of Longitudinal Shock Wave from Free Boundary in Elastic Medium

2014 ◽  
Vol 1040 ◽  
pp. 652-657 ◽  
Author(s):  
Dmitrii A. Potyanikhin ◽  
Olga V. Dudko
Keyword(s):  
Shock Wave ◽  
Free Boundary ◽  
Elastic Medium ◽  
Second Law Of Thermodynamics ◽  
Elastic Half Space ◽  
Self Similar Solution ◽  
Wave Patterns ◽  
Self Similar ◽  
Wave Surfaces ◽  
Evolutionary Condition

Self-similar solution of two-dimensional problem of interaction between a plane longitudinal shock wave and free boundary of elastic half-space is considered. It is suggested that the intensity of this wave is constant. Feasible combinations of wave surfaces which may be generated in elastic medium as a result of such interaction are investigated. Choosing of unique physically admissible mode of deformation propagation from among mathematically possible wave patterns is related to shockwave evolutionary condition and the second law of thermodynamics.

New Self Similar Solution of Spherical Radiative Gasdynamic Shock Wave With Increasing Density Under The Effect Of Axial And Azimuthal Magnetic Field

2015 ◽  
Vol 4 (2) ◽  
Author(s):  
Ajay Singh Yadav ◽  
Pravin Kumar Srivastava ◽  
Kishor Kumar Srivastava
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Magnetic Fields ◽  
Initial Density ◽  
Radiation Energy ◽  
Azimuthal Magnetic Field ◽  
Self Similar Solution ◽  
Complete Study ◽  
Self Similar ◽  
Spherical Shock

In the present chapter we investigated the self similar flow behind a spherical shock wave propagating in a medium with increasing density, in the presence of magnetic fields. The medium is assumed to be non gravitational due to the heavy nucleus at origin. The medium ahead and behind the shock front are assumed to be inviscid. The initial density of gas is assumed to vary as some power of distance. It is assumed that gas is grey and opaque. The assumption of optically thick grey gas is physically consistant with the neglect of radiation pressure and radiation energy. Total energy of the flow field behind the spherical shock is assumed to be increasing with time, where the gas ahead of the shock is assumed to be at rest. The results of numerical calculations were shown in the form of graphs. A complete study was made for axial and azimuthal magnetic field. Also the effect of variation of initial density behind the shock, shock velocity and respective magnetic fields were investigated.

scholarly journals Shock Wave in Condensed Matter Generated by Impulsive Load

1985 ◽  
Vol 40 (1) ◽  
pp. 8-13 ◽  
Author(s):  
S. I. Anisimov ◽  
V. A. Kravchenko
Keyword(s):  
Shock Wave ◽  
Shock Loading ◽  
Condensed Matter ◽  
Laser Pulses ◽  
Self Similarity ◽  
Impulsive Load ◽  
Self Similar Solution ◽  
Short Laser Pulses ◽  
The Media ◽  
Self Similar

A shock wave in condensed matter generated by impulsive load ("shock loading") is considered. A self-similar solution of the problem is presented. The media are described by the equation-of-state of the Mie-Grüneisen type. Values of the self-similarity exponent and the profiles of gas-dynamical variables have been calculated. The problem of generation of shock waves by ultra-short laser pulses is discussed.

scholarly journals Self Similar Shocks in Atmospheric Mass Loss Due to Planetary Collisions

Atmosphere ◽  
2020 ◽  
Vol 11 (5) ◽  
pp. 445
Author(s):  
Almog Yalinewich ◽  
Andrey Remorov
Keyword(s):  
Shock Wave ◽  
Mass Loss ◽  
Equations Of State ◽  
Impact Angle ◽  
Planetary Cores ◽  
Self Similar Solution ◽  
Self Similar ◽  
Similar Solutions ◽  
The Impact ◽  
Atmospheric Mass

We present a mathematical model for the propagation of the shock waves that occur during planetary collisions. Such collisions are thought to occur during the formation of terrestrial planets, and they have the potential to erode the planet’s atmosphere. We show that, under certain assumptions, this evolution of the shock wave can be determined using the methodologies of Type II self similar solutions. In such solutions, the evolution of the shock wave is determined by boundary conditions at the shock front and a singular point in the shocked region. We show how the evolution can be determined for different equations of state, allowing these results to be readily used to calculate the atmospheric mass loss from planetary cores made of different materials. We demonstrate that, as a planetary shock converges to the self similar solution, it loses information about the collision that created it, including the impact angle for oblique collisions.

Imploding shocks and detonations

1967 ◽  
Vol 29 (1) ◽  
pp. 61-79 ◽  
Author(s):  
Robert L. Welsh
Keyword(s):  
Shock Wave ◽  
Cylindrical Symmetry ◽  
The Self ◽  
Detonation Waves ◽  
Focusing Effect ◽  
Counter Pressure ◽  
Self Similar Solution ◽  
Self Similar ◽  
Axis Of Symmetry ◽  
Range Of Values

The gasdynamic problem of collapsing shocks and detonation waves having spherical or cylindrical symmetry is considered near the point or axis of symmetry. The solution basic to this work is the self-similar flow of a collopsing symmetrical shock wave with counterpressure neglected. The focusing effect as the flow progresses causes the front to accelerate and its velocity is singular at the instant of collapse. In the present work the perturbations, due to counter-pressure and also to a uniform heat release, which give rise to essentially identical mathematical solutions, are evaluated. The basic self-similar solution is investigated in detail over a range of values of the specific heat ratio.

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