A horizontal water main with a cross-sectional area of 188 cm^2 necks down to a

Question

A horizontal water main with a cross-sectional area of 188 cm^2 necks down to a pipe of area 49.0 cm^2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 85.0 kPa. Determine the flow rate through the system, taking the fluid to be ideal. A horizontal water main with a cross-sectional area of 188 cm^2 necks down to a pipe of area 49.0 cm^2. Meters mounted in the flow on each side of the transition coupling show a change in gauge pressure of 85.0 kPa. Determine the flow rate through the system, taking the fluid to be ideal.

Explanation / Answer

Bernaulli's Equation P + 0.5**v*v = const.

P1-P2 = 85 kPa

A1 = 188, A2= 49

P1 + 0.5**V1*V1 = P2 + 0.5**V2*V2

and A1V1 = A2V2

V2= 13.5 m/s

Flow rate = A2V2 = 0.06615 m3/s ans

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