Derive the following equation for the conditions across a shock shown in Example 2.13. (M a_{1}) and

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Derive the following equation for the conditions across a shock shown in Example 2.13.

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\(M a_{1}\) and \(M a_{2}\) are the Mach numbers before and after the shock.

Example 2.13:

A normal shock wave occurs in the flow of helium. The conditions at the point of shock are pressure 1/14.7 atm; temperature 5 ◦C, and velocity 1250 m/s. γ = 1.66 for helium.Find the conditions at the point after the shock wave.Determine the entropy and enthalpy gain in the system.

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