All Questions
Tagged with shock-waves non-linear-systems
12 questions
2
votes
2
answers
596
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Burgers' equations and shock waves
Given Burgers' equation, $m_{\tau} + mm_x = 0,$ one expects to have discontinuities and thus shock waves in the case the initial conditions are smooth. For example, one may take $m_0(x) = \sin(x), x\...
- 173
0
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0
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34
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Burger equation and shock waves
Given the burger equation, $$m_{\tau} + mm_x = 0,$$ one expects to have discontinuities and thus shock waves in the case the initial conditions are smooth. For example, one may take $$m_0(x) = \sin(x),...
- 173
0
votes
0
answers
46
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Why do shockwaves refract when they travel into the ground?
If a shockwave from something like an explosion travels into the ground, why will it refract? The speed of sound is far different in the ground, but what would make it refract? I can’t seem to find ...
- 355
1
vote
1
answer
45
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How are shockwaves able to refract?
How are shockwaves able to refract? As said here,
When two shock waves collide, they interact with each other and produce complex patterns of compression, rarefaction, and reflection. The resulting ...
- 355
2
votes
1
answer
85
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How do shockwaves interact?
As seen here, there are two T-38's going supersonic. What happens when those shockwaves interact? They seem to dissipate in some places on this photo when they interact. Any source online says that ...
- 355
1
vote
0
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81
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Does every shockwave have an expansion wave behind it?
Do all shockwaves have an expansion fan or expansion wave behind them? Does the air always expand behind a shockwave?
I assume that the strength of the expansion wave depends on the strength of the ...
- 355
2
votes
0
answers
21
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Dynamic equations for a gas discharge lamp
This question asks why a gas discharge lamp is blinking and making a noise when it is turned on. I think that the lamp (with potential on) is a bi-stable system where the current-carrying "bright&...
- 65k
4
votes
1
answer
972
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Nonlinear waves equations derivation from Navier-Stokes
In my professor's lecture notes, I came across the next approach of studying non-linear waves in fluids. So we have compressible Navier-Stokes and continuity equation in 1D and we assume adiabatic ...
- 1,169
2
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2
answers
776
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Density gradient in a shock wave of Supersonic Aircraft?
Shock waves are basically density gradients. Is the change in density continuous or discrete? By discrete I mean something
Because it is a density gradient it must have refractive properties. Does ...
- 21
1
vote
1
answer
278
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Solution of Burgers' equation in preshock region
According to Hamilton's & Blackstock's Nonlinear acoustics (Section 4.5.4) the solution of Burgers' equation of the form:
$$
\frac{\partial P}{\partial \sigma} - \frac{1}{\Gamma}\frac{\partial^2 ...
- 2,834
8
votes
1
answer
4k
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Non-linear waves and shock formation
In the cases of non-linear acoustics, why is shock formation unlikely when the dispersion is strong when compared to the non-linearity of the wave?
- 247
6
votes
1
answer
1k
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Shock Rarefaction Interaction
I am interested to see/know if there exist analytical solutions for shock/rarefaction interaction. A rarefaction wave can catch up to a shock wave from behind. The shock will decay and the motion ...
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