b) The compressor delivers gas at a constant pressure of p, = 10bar to a tank via a valve with flow coefficient, C, = 5. The tank has a volume of 1.5m³. The air in the tank is initially at atmospheric pressure, and has the same temperature as the air exiting the compressor. Using the following valve flow rate equations, calculate the time required for the pressure in the tank to increase to 4 bar (abs). 24p 3p3/ P3G,T3 Ap If Ptank > P3/2. q = C,P3N (1. 1 If ptank < P3/2. q = 0.471 C,p,N G,T3 Where N = 6950 when volumetric flow rate, q, has units = litres/min at standard conditions, temperature has units K, and pressure has units = bar (abs). Note that the specific gravity, Gg = (density of actual gas at standard conditions)/ (density of air at standard conditions). c) The maximum volume of the compressor cylinder (i.e. V,) is 0.01m³. Calculate the rotational speed of the compressor required to deliver a mass flow rate of 0.2kg/s, and calculate the shaft power required to drive the compressor. Data: Standard conditions are pressure = 1.013 bar (abs) and temperature = 15°C. The specific gas constant of air is 287 J/kgK.

b) The compressor delivers gas at a constant pressure of p, = 10bar to a tank via a valve with flow coefficient, C, = 5. The tank has a volume of 1.5m³. The air in the tank is initially at atmospheric pressure, and has the same temperature as the air exiting the compressor. Using the following valve flow rate equations, calculate the time required for the pressure in the tank to increase to 4 bar (abs). 24p 3p3/ P3G,T3 Ap If Ptank > P3/2. q = C,P3N (1. 1 If ptank < P3/2. q = 0.471 C,p,N G,T3 Where N = 6950 when volumetric flow rate, q, has units = litres/min at standard conditions, temperature has units K, and pressure has units = bar (abs). Note that the specific gravity, Gg = (density of actual gas at standard conditions)/ (density of air at standard conditions). c) The maximum volume of the compressor cylinder (i.e. V,) is 0.01m³. Calculate the rotational speed of the compressor required to deliver a mass flow rate of 0.2kg/s, and calculate the shaft power required to drive the compressor. Data: Standard conditions are pressure = 1.013 bar (abs) and temperature = 15°C. The specific gas constant of air is 287 J/kgK.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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