Question

The distance between the 2 pressure sensors in a shock tube is 150mm, the time taken by a shock wave to travel this distance is 0.3ms, if velocity of sound is340m/s. Find match number of shock wave.

Answer 1

Answer:

Explanation:

The Mach no. is 5.29 as solved in the photo.

Answer 2

Concept:

Mach number can be defined as the ratio of the velocity of a fluid to the velocity of sound in that fluid.

A shock velocity can be defined as the rate of change in distance between the shock tube.

Given:

Distance, d = 150 mm = 150 × 10⁻³ m

Time, t = 0.3 ms = 0.3 × 10⁻³ s

Velocity of sound, v = 340 m/s

Find:

The Mach number of the shock wave.

Solution:

Velocity of the fluid,

Shock velocity, u = d/t

u = (150 × 10⁻³ m)/ (0.3  × 10⁻³ s) = 500

Mach number = u/v

Mach number = 500/340 = 1.47

Hence, the Mach number of the shock wave is 1.47.

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