PS1_solution

note this is a very low temperature as mentioned in

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Unformatted text preview: . As mentioned in the problem statement, usually experiments are done with helium-air mixture so that room temperature can be used. To calculate the exit velocity of the Helium jet, we use the relation √ Note: Helium is an inert monoatomic gas with √ The stagnation temperature or the reservoir temperature is then given by ( ) ( ) We have the standard isentropic relation () ( ) Using the ideal gas equation for reservoir conditions we have ( ) PROBLEM 2a ( Given that We have, ( ) ( ) ( ( ) ) ( ) Also, √ √ ) PROBLEM 2b Since the heating process is a constant density process, we have from the ideal gas law ( ) ( ) ( ( ) ) ( ) Also √ √ PROBLEM 2c At high Mach numbers, the values of the static pressure, temperature and density are much smaller compared to the corresponding stagnation values. This is because the term ( ) has a stronger effect on the ratio of the stagnation to static values at high Mach numbers. We can understand the physics of this process by considering the fact that the expanding gas through the nozzle we are exchanging internal energy for kinetic energy. The more we speed the flow up the more the temperature, pr...
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This homework help was uploaded on 03/31/2014 for the course AAE 334 taught by Professor Collicott during the Spring '09 term at Purdue.

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