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Critical Mach Number & Sonic Mach Number

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What is the difference between Critical Mach Number & Sonic Mach Number? Are they same?

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Posts: 4
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The Critical Mach Number and the Sonic Mach Number are not the same, although they are related concepts in compressible flow.


🔹 1. Sonic Mach Number (M = 1)

 It is the Mach number at which the local flow speed equals the speed of sound.

  • Mach 1 (M = 1) is the transition point between subsonic and supersonic flow.

  • It can occur at any point in the flow field, not necessarily over the entire body.

  • This is a general term for any flow condition where velocity = speed of sound.


🔹 2. Critical Mach Number (M<sub>crit</sub>)

 It is the freestream Mach number at which some part of the airflow over an airfoil first reaches Mach 1 (sonic condition).

  • At this point, the body is still flying in subsonic conditions overall, but local supersonic regions begin to appear.

  • Important in transonic flow regimes (typically between Mach 0.75 and 1.2).

  • The critical Mach number depends on

    • Airfoil shape

    • Angle of attack

    • Compressibility effects

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