Question

7.24 A pump is used to pressurize air in a tank to 300 kPa abs. e tank has a diameter of 2 m and a height of 4 m. The initial level of water in the tank is 1 m, and the initial pressure at the tank water surface is 0 kPa gage. The atmospheric pressure is 100 kPa. The pump provides a constant head of 50 m. The water is drawn from a reservoir that is 4 m below the tank bottom. The pipe connecting the reservoir and the tank is 4 cm in diameter and the head loss, including the expansion loss at the tank, is 10 V2/2g. The flow is turbulent. Assume the compression of the air in the tank takes place isothermally, so the tank pressure is given by Po 4 z where z,is the depth of water in the tank in computer program that will show how the air pressure varies in the tank with time, and find the time to pressurize the tank to 300 kPa abs. meters. Write a PT 4 m Pump 4 m Problem 7.24

Answer 1

Page -D 6ien dhtb * A pump is used to uize oir n the tonk to 300 Kpa abs Thenk hao o diametex 0b arm *The a level c uanter in the tank : 4 m sutace the tont uwoter inital pressue at *The Thetmosphefie Preue The uPou 'idet a constant heod -50 rn below the tant botton (t cm in cliameter and the head Loss incluifr9 the expansion loss at the tank (15 10L istusbulent

Pagr e * Asume oprssin oj he air in the tank es sion D takes race thermally : so the tarr pressure %; given by ㄐ elt Po hpump tank LCSs + 2 9 OV oo0x D 3 a 6 d2 422 31a 5000 140 542 2

Ue Paje 3