What is a very weak shock wave? (Gas Dynamics)

In summary, the concept of a shock wave at the limit of Mach number 1 is referred to as the alternative, weak solution. This solution results in a downstream Mach number greater than 1 and is usually the one that occurs in reality. The property relations across the shock wave are not technically affected, but the limit allows for approximations to be made in order to solve equations more easily.
  • #1
albertov123
21
1
I stumbled upon this concept when studying gas dynamics. What I get from my readings it must occur when Mach number is really close to 1. But I didn't understand how the property relations across a shock wave is affected by it.
 
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  • #2
It's just a shock wave at the limit of ##M\rightarrow 1##. Technically the relations don't change but the limit allows you to make approximations to a number of the equations to make them easier to solve.

Alternative, weak can refer to the weak solution to the θ-β-M equation (sometimes δ-β-M or δ-θ-M). The weak solution, in this case, is the one that results in a downstream Mach number greater than 1 and is almost always the solution that physically manifests.
 

Related to What is a very weak shock wave? (Gas Dynamics)

1. What is a very weak shock wave?

A very weak shock wave is a type of disturbance that travels through a medium, such as air or gas, at a low intensity. It is characterized by a small change in pressure and a gradual change in density, making it difficult to detect without specialized equipment.

2. How is a weak shock wave different from a strong shock wave?

A weak shock wave has a lower intensity and a smaller change in pressure compared to a strong shock wave. It also has a gradual change in density, whereas a strong shock wave has a sharp change in density. This difference in intensity and pressure change can have significant effects on the surrounding medium.

3. What causes a very weak shock wave?

A very weak shock wave is typically caused by a small disturbance or change in the medium, such as a sudden change in velocity or temperature. It can also be produced by an object moving through the medium at a low speed, or by a small explosion or implosion.

4. What are the applications of studying weak shock waves?

Studying weak shock waves is important in various fields, including aerodynamics, gas dynamics, and astrophysics. It can help us better understand the behavior of gases and how they interact with each other and with objects moving through them. This knowledge can be applied to design more efficient aircraft and rockets, as well as to better understand phenomena in space.

5. How are weak shock waves measured?

Weak shock waves can be measured using specialized instruments, such as pressure sensors and density probes. These instruments are able to detect small changes in pressure and density, which can then be used to calculate the intensity of the shock wave. High-speed cameras can also be used to capture the movement of the medium and visualize the shock wave.

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