1. Engineering
2. Mechanical Engineering
3. in the infinitesimal neighborhood of a point in an inviscid...

# Question: in the infinitesimal neighborhood of a point in an inviscid...

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In the infinitesimal neighborhood of a point in an inviscid flow, the small change in pressure   corresponding to a change in velocity   is given by   .

1. Using this relation, derive a differential relation for the fractional density   as a function of the fractional change in velocity   with the compressibility   as a coefficient.
2. The velocity in a point in isentropic flow of air is 10m/s (a low speed flow) and the density and pressure are 1.23 kg/m3 and 1.01x105 N/m2. The fractional change in velocity is 0.01. Calculate the fractional change in density.
3. Repeat part (b) except for a local velocity of 1000m/s (a high speed flow). Compare this result with that of part (b) and comment on the differences.