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# Quiz2 - flow rate in lb m/s Pressure Ratio 2.5 Î =(5.67472...

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Fall 2007 1 ME 416 Computer Assisted Design of Thermal Systems Quiz #2 Closed Book, Closed Notes An actual axial compressor has inlet air at 270 K and 80 kPa applies a pressure ratio of 3.64. For a mass flow rate of 23 kg/s, determine the required actual power for the compressor and the actual exit temperature. The following properties of air may prove useful: density ( ρ ): 1.21 kg/m 3 specific heat (c P ): 1.004 kJ/(kg · K) specific heat ratio (k): 1.4

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ME 416 CAD of Thermal Systems Fall 2007 2 Equations for Quiz #2 The required power for any compressor is given by ( 29 T - T c m W in out P & & = in kW` For an ideal or isentropic fan the exit temperature is given by P P T T 1)/k - (k in out in ideal out, = Using the isentropic efficiency we can write W W ideal actual η = & & The following operating equations apply for an actual axial compressor for a mass
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Unformatted text preview: flow rate in lb m /s. Pressure Ratio: 2.5 Î· = (5.67472 x 10-5 ) 2 m & â€“ (2.66996 x 10-2 ) m & + 1.6147 Pressure Ratio: 3.0 Î· = (3.5414 x 10-5 ) m & 3 â€“ (4.9514 x 10-3 ) 2 m & + (2.0582 x 10-1 ) m &- 1.7747 Pressure Ratio: 3.5 Î· = (1.0412 x 10-4 ) m & 3 â€“ (1.5478 x 10-2 ) 2 m & + (7.3349 x 10-1 ) m &- 10.324 Pressure Ratio: 4.0 Î· = (1.2500 x 10-4 ) m & 3 â€“ (1.9468 x 10-2 ) 2 m & + (9.7623 x 10-1 ) m &- 14.9977 Pressure Ratio: 4.5 Î· = (8.6313 x 10-6 ) m & 4- (1.579 x 10-3 ) m & 3 + (1.0377 x 10-1 ) 2 m &- (2.8805) m & + 28.894 Unit conversion factor: 1 kg = 2.204 lb m Linear interpolation formula ) T-)/(T T-(T )-( + = L H L L H L â‹… Î¨ Î¨ Î¨ Î¨...
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