A venturimeter with a throat diameter 115mm is fitted in a vertical pipeline of 275 mm diameter with water flowing upward at the rate of 0.085m ^ 3 / s Two pressure gauges are fitted at tapping points, one at the throat and the other in the pipe inlet. The pressure between the two gauge pressure readings is 45kN / (m ^ 2) Determine the distance between the throat and the pipe inlet and difference in level in the two limbs of a mercury ( rho = 13600 kg / (m ^ 3) ) manometer if it is connected to the tapping points.

a. Calculate the differential pressure expected from a Venturi meter when the flowrate is 0.002m ^ 3 / s of water. The area ratio is 4 and C_{d} is 0.94. The inlet c.s.a. is 900m * m ^ 2 (ans. 41.916 kPa).

b. Calculate the mass flow rate of water through a Venturi meter when the differential pressure is 980 Pa given C 0.93, the area ratio is 5 and the inlet c.s.a. is 1000m * m ^ 2 (ans. 0.266kg / s )