scholarly journals Shock Waves: From Gas Dynamics to Granular Flows

2019 ◽  
Vol 1 (1) ◽  
pp. 7-9
Author(s):  
X Cui
Keyword(s):  
Shock Waves ◽  
Gas Dynamics ◽  
Granular Flows

Shock waves in dense granular flows down a chute

Shock Waves ◽  
2007 ◽  
Vol 17 (5) ◽  
pp. 337-349 ◽  
Author(s):  
Piroz Zamankhan
Keyword(s):  
Shock Waves ◽  
Granular Flows ◽  
Dense Granular Flows

Constitutive surfaces in fluid mechanics

1980 ◽  
Vol 88 (3) ◽  
pp. 517-546 ◽  
Author(s):  
M. J. Sewell ◽  
D. Porter
Keyword(s):  
Flow Stress ◽  
Shock Waves ◽  
Fluid Mechanics ◽  
Total Energy ◽  
Special Reference ◽  
Shallow Water ◽  
Gas Dynamics ◽  
Inviscid Fluid ◽  
Hydraulic Jumps ◽  
Shallow Water Theory

AbstractThe new concept of a constitutive surface is introduced into inviscid fluid mechanics, with special reference to compressible gas dynamics and to shallow water theory. The detailed shape of such surfaces is calculated, including the manner of their transition across singularities where the Mach or Froude number passes through unity. The calculation draws upon recent work describing the transition of a Legendre transformation through its singularity. For example, mass flow Q, total energy h and flow stress P are always related by part of a ‘swallowtail’ surface, regardless of the particular motion.The addition of dynamical conditions defines particle history tracks which always lie on constitutive surfaces even for unsteady flow, except that they may jump from one part to another of such a surface when shock waves or hydraulic jumps are passed through.Illustrations given include the steady flow of a general gas through a standing normal shock, general shallow water theory, and flow along a sloping-sided channel. Connections with existing literature are described.

scholarly journals Symmetries of conservation laws

2005 ◽  
Vol 77 (91) ◽  
pp. 29-51
Author(s):  
Sanja Konjik
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Gas Dynamics ◽  
Hyperbolic Conservation Laws ◽  
Strong Association ◽  
Group Analysis ◽  
Symmetry Groups ◽  
Dynamics Model ◽  
Hyperbolic Conservation ◽  
Systems Of Conservation Laws

We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all project able symmetry groups and show that they are 1-strongly associated, hence transform existing solutions in the sense of 1-strong association into other solutions.

Experimental Studies of Difference Gas Dynamics Models with Shock Waves

2018 ◽  
Vol 58 (8) ◽  
pp. 1201-1216 ◽  
Author(s):  
S. K. Godunov ◽  
D. V. Klyuchinskii ◽  
S. V. Fortova ◽  
V. V. Shepelev
Keyword(s):  
Shock Waves ◽  
Gas Dynamics ◽  
Experimental Studies ◽  
Dynamics Models

Gas Dynamics of Sublimed Carbon Nano-Clusters in High Fluence Time-Resolved Laser-Induced Incandescence

2013 ◽  
Author(s):  
F. Memarian ◽  
K. J. Daun
Keyword(s):  
Shock Waves ◽  
Gas Dynamics ◽  
Direct Simulation Monte Carlo ◽  
Analytical Models ◽  
High Fluence ◽  
Time Resolved ◽  
Back Flow ◽  
Model Predictions ◽  
Laser Induced Incandescence ◽  
Simulation Monte Carlo

High fluence time-resolved laser-induced incandescence (TiRe-LII) measurements show a discrepancy between experimental observations and model predictions. Several hypotheses have been proposed to explain this discrepancy, including the possibility of back flow of sublimed species and the possibility of formation of shock waves. This is the first study that uses transient Direct Simulation Monte Carlo (DSMC) to investigate the abovementioned effects in high fluence TiRe-LII. This study verifies that back flow of sublimed species occurs, and must be included in analytical models. On the other hand, shock waves were not observed for the fluences and predetermined temperature curves used in this study.

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