Calculation of the pressure at the critical point when a shock wave is incident on a body moving with supersonic velocity

1972 ◽  
Vol 7 (6) ◽  
pp. 950-956 ◽  
Author(s):  
G. M. Arutyunyan
Keyword(s):  
Shock Wave ◽  
Critical Point ◽  
Supersonic Velocity

Wave reflexion near a wall

1951 ◽  
Vol 47 (3) ◽  
pp. 528-544 ◽  
Author(s):  
A. Robinson
Keyword(s):  
Boundary Layer ◽  
Shock Wave ◽  
Velocity Profile ◽  
Shear Layer ◽  
Continuous Wave ◽  
Rigid Wall ◽  
Main Flow ◽  
Supersonic Velocity ◽  
Main Stream ◽  
Numerical Examples

AbstractThe field of flow due to a shock wave or expansion wave undergoes a considerable modification in the neighbourhood of a rigid wall. It has been suggested that the resulting propagation of the disturbance upstream is largely due to the fact that the main flow in the boundary layer is subsonic. Simple models were produced by Howarth, and Tsien and Finston, to test this suggestion, assuming the co-existence of layers of uniform supersonic and subsonic main-stream velocities. The analysis developed in the present paper is designed to cope with any arbitrary continuous velocity profile which varies from zero at the wall to a constant supersonic velocity in the main stream. Numerical examples are calculated, and it is concluded that a simple inviscid theory is incapable of giving an adequate theoretical account of the phenomenon. The analysis includes a detailed discussion of the process of continuous wave reflexion in a supersonic shear layer.

Rarefaction shock wave near the critical liquid–vapour point

1983 ◽  
Vol 126 ◽  
pp. 59-73 ◽  
Author(s):  
A. A. Borisov ◽  
Al. A. Borisov ◽  
S. S. Kutateladze ◽  
V. E. Nakoryakov
Keyword(s):  
Shock Wave ◽  
Shock Tube ◽  
Critical Point ◽  
Wave Front ◽  
Propagation Velocity ◽  
Test Substance ◽  
Unperturbed State ◽  
Long Wave ◽  
Rarefaction Shock ◽  
Negative Shock

The existence of a rarefaction shock wave or negative shock wave in a substance whose unperturbed state is close to the thermodynamic critical liquid–vapour point has been demonstrated experimentally. Its evolution and propagation velocity in a shock tube with Freon-13 as the test substance are described. It is shown that the steepness of the wave front does not diminish as the wave evolves. An equation is derived that describes the evolution of long-wave perturbations near the critical point.

scholarly journals Multi-phase equation of state for aluminum

2007 ◽  
Vol 25 (4) ◽  
pp. 567-584 ◽  
Author(s):  
I.V. Lomonosov
Keyword(s):  
Shock Wave ◽  
Phase Diagram ◽  
High Pressure ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Critical Point ◽  
Theoretical Calculations ◽  
Static Compression ◽  
Multi Phase ◽  
Solid Liquid

AbstractResults of theoretical calculations and experimental measurements of the equation of state (EOS) at extreme conditions are discussed and applied to aluminum. It is pointed out that the available high pressure and temperature information covers a broad range of the phase diagram, but only irregularly and, as a rule, is not thermodynamically complete; its generalization can be done only in the form of a thermodynamically complete EOS. A multi-phase EOS model is presented, accounting for solid, liquid, gas, and plasma states, as well as two-phase regions of melting and evaporation. The thermodynamic properties of aluminum and its phase diagram are calculated with the use of this model. Theoretical calculations of thermodynamic properties of the solid, liquid, and plasma phases, and of the critical point, are compared with results of static and dynamic experiments. The analysis deals with thermodynamic properties of solid aluminum at T = 0 and 298 K from different band-structure theories, static compression experiments in diamond anvil cells, and the information obtained in isentropic-compression and shock-wave experiments. Thermodynamic data in the liquid state, resulting from traditional thermophysical measurements, “exploding wire” experiments, and evaluations of the critical point are presented. Numerous shock-wave experiments for aluminum have been done to measure shock adiabats of crystal and porous samples, release isentropes, and sound speed in shocked metal. These data are analyzed in a self-consistent manner together with all other available data at high pressure.The model's results are shown for the principal shock adiabat, the high-pressure melting and evaporation regions and the critical point of aluminum. New experimental and theoretical data helped to improve the description of the high-pressure, high-temperature aluminum liquid. The present EOS describes with high accuracy and reliability the complete set of available information.

Perturbation evolution at a metal-metal interface subjected to an oblique shock wave: Supersonic velocity of the point of contact

2003 ◽  
Vol 48 (8) ◽  
pp. 1001-1008 ◽  
Author(s):  
O. B. Drennov ◽  
A. L. Mikhailov ◽  
P. N. Nizovtsev ◽  
V. A. Raevskii
Keyword(s):  
Shock Wave ◽  
Oblique Shock ◽  
Supersonic Velocity ◽  
Oblique Shock Wave ◽  
Metal Interface ◽  
Metal Metal

The condition for the detachment of the shock wave from a wedge in a supersonic stream

1948 ◽  
Vol 44 (2) ◽  
pp. 298-300
Author(s):  
D. C. Pack
Keyword(s):  
Shock Wave ◽  
Present Note ◽  
Previous Treatment ◽  
Supersonic Velocity ◽  
Supersonic Stream ◽  
Flow Past

The flow past a wedge which is moving with supersonic velocity into a gas at rest has been treated by a number of investigators. In the analysis of the problem given in the present note, the condition for the detachment of the shock wave is examined, and an error in a previous treatment by Epstein is corrected.

Sign in / Sign up

Export Citation Format

Share Document