Shock-Wave Compressions of Twenty-Seven Metals. Equations of State of Metals

1957 ◽  
Vol 108 (2) ◽  
pp. 196-216 ◽  
Author(s):  
John M. Walsh ◽  
Melvin H. Rice ◽  
Robert G. McQueen ◽  
Frederick L. Yarger
Keyword(s):  
Shock Wave ◽  
Equations Of State ◽  
State Of Metals

scholarly journals Magnetorotational supernovae with different equations of state

2011 ◽  
Vol 7 (S279) ◽  
pp. 357-358
Author(s):  
Sergey G. Moiseenko ◽  
Gennady S. Bisnovatyi-Kogan
Keyword(s):  
Magnetic Field ◽  
Shock Wave ◽  
Angular Momentum ◽  
Differential Rotation ◽  
Equations Of State ◽  
Supernova Explosion ◽  
Explosion Energy ◽  
Iron Core ◽  
Wave Forms ◽  
The Magnetic Field

AbstractWe present results of the simulation of a magneto-rotational supernova explosion. We show that, due to the differential rotation of the collapsing iron core, the magnetic field increases with time. The magnetic field transfers angular momentum and a MHD shock wave forms. This shock wave produces the supernova explosion. The explosion energy computed in our simulations is 0.5-2.5 ċ 1051erg. We used two different equations of state for the simulations. The results are rather similar.

scholarly journals Equations of state of matter from shock wave experiments

1966 ◽  
Vol 71 (16) ◽  
pp. 3985-3994 ◽  
Author(s):  
Hitoshi Takeuchi ◽  
Hiroo Kanamori
Keyword(s):  
Shock Wave ◽  
Equations Of State ◽  
State Of Matter

Liquid temperature dependence of the shock formation in a cavitation bubble

2017 ◽  
Vol 12 (1) ◽  
pp. 89-95 ◽  
Author(s):  
A.A. Aganin ◽  
T.F. Khalitova
Keyword(s):  
Shock Wave ◽  
Cavitation Bubble ◽  
Equations Of State ◽  
Bubble Surface ◽  
Wave Formation ◽  
Godunov Method ◽  
Liquid Temperature ◽  
Wide Range ◽  
Convergent Shock Wave ◽  
Shock Wave Formation

The dependence of the radially convergent shock wave formation in a cavitation bubble on the surrounding liquid temperature TL in the range from 273.15 to 400 K is investigated at the liquid pressure equal to 50 bar. Realistic mathematical model is applied, in which the effects of the liquid compressibility, the heat conductivity of the vapor and liquid, the evaporation and condensation on the bubble surface are taken into account, wide-range equations of state are utilized. The governing equations of the vapor and liquid dynamics are solved numerically using a modification of the Godunov method of the second order of accuracy. It has been found that a radially convergent shock wave arises in the bubble in 273.15≤T_L≤375 К. In this interval, the distance between the shock wave formation position and the bubble surface decreases with decreasing the liquid temperature. The possibility of using a known simplified criterion of the formation of a shock wave inside a bubble to estimate its formation position under the studied conditions is considered. It is shown that with applying that criterion the shock wave formation position turns out to be correctly predicted at T_L≈325 К, while at T_L>325 К and T_L<325 К it is predicted closer to and more distant from the bubble surface, respectively.

The Effects of Drilling Parameters on Pore Size in Keyhole Mode Welding

2015 ◽  
Vol 138 (2) ◽  
Author(s):  
P. S. Wei ◽  
T. C. Chao
Keyword(s):  
Shock Wave ◽  
Mach Number ◽  
Pore Size ◽  
Cross Sections ◽  
Electron Beam Welding ◽  
Equations Of State ◽  
Pore Sizes ◽  
Drilling Parameters ◽  
Keyhole Mode Welding ◽  
Welding Processes

The pore sizes affected by different drilling parameters during high power density laser and electron beam welding processes are theoretically determined in this study. The drilling parameters include incident energy absorbed by the mixture in the keyhole, radius, and Mach number at the base, drilling speed, and location of the shock wave or surrounding pressure. The factors affecting the pore sizes are still lacking, even though porosity often occurs and limits the widespread industrial application of keyhole mode welding. In order to determine the pore shape, this study introduces the equations of state at the times when the keyhole is about to be enclosed and when the temperature drops to melting temperature. The gas pressure, temperature, and volume required at the time when the keyhole is about to be closed are determined by calculating the compressible flow of the vapor–liquid dispersion in a vertical keyhole with varying cross sections, paying particular attention to the transition between annular and slug flows. It is found that the final pore size decreases as absorbed energy, radius, and Mach number at the base increase, and decreases axial location of the shock wave or higher surrounding pressure for the keyhole containing a supersonic mixture. For a subsonic mixture in the keyhole, the final pore size decreases as released energy, radius, and Mach number at the base increase. This work provides an exploratory and systematical investigation of the pore size during keyhole mode welding.

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