Consider the wind tunnel shown in Figures 6.7 and 6.8. Atmospheric air enters thesystem with a...

Question

Consider the wind tunnel shown in Figures 6.7 and 6.8. Atmospheric air enters thesystem with a pressure and temperature of 14.7 psia and 80°F, respectively, and hasnegligible velocity at section 1. The test section has a cross-sectional area of 1 ft2 andoperates at a Mach number of 2.5. You may assume that the diffuser reduces the ve-locity to approximately zero and that final exhaust is to the atmosphere with negligiblevelocity. The system is fully insulated and there are negligible friction losses. Find:(a) The throat area of the nozzle.(b) The mass flow rate.(c) The minimum possible throat area of the diffuser.(d) The total pressure entering the exhauster at startup (Figure 6.7).(e) The total pressure entering the exhauster when running (Figure 6.8).(f) The hp value required for the exhauster (based on an isentropic compression).

Robert · Accepted Answer

Solution: 
As a first step let’s represent the figure 6.7 and 6.8 from the textbook for easy representation to 
compute the given questionnaire,
Given data: Inlet vapour pressure = 14.7 psia 
  Temperature   = 80 F 
  Area cross-section =       
  Mach number   = 2.5
a) Throat area of the nozzle. 
The formula for computing the throat area is given below, 
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By plugging the values we get,

Consider the wind tunnel shown in Figures 6.7 and 6.8. Atmospheric air enters thesystem with a pressure and temperature of 14.7 psia and 80°F, respectively, and hasnegligible velocity at section 1....

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