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

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A very weak shock wave occurs when the Mach number approaches 1, leading to specific property relations across the shock wave. Although the fundamental relations remain unchanged, this limit allows for simplifications in equations, facilitating easier solutions. Additionally, the term "weak" can also refer to the weak solution of the θ-β-M equation, which results in a downstream Mach number greater than 1. This weak solution is typically the physically relevant outcome in gas dynamics scenarios. Understanding these concepts is crucial for analyzing shock waves in fluid dynamics.
albertov123
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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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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.
 

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