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Fluid Mechanics Problem 4.21 Air flows under steady, approximately one dimension

ID: 1850205 • Letter: F

Question

Fluid Mechanics Problem 4.21 Air flows under steady, approximately one dimensional conditions through the conical nozzle in figure (shape of cone on side). If the speed of sound is approximately 340 m/s, what is the minimum nozzle-diameter ratio De/Do for which we can safely neglect compressibility effects if Vo=10m/s In the solution part of the webpage I am not sure what they did with the speed of sounds, that seems to be correlating to the exit velocity. The solution has the speed of sound being multiplied by M<= 0.3. I don't know where the value of 0.3 is coming from? I think it has to do with the speed of sound=sqrt(kRT), but I don't know what M is suppose to represent.

Explanation / Answer

here M is molar mass nd for ideal gas assumption it hsould be below this value