Part A The hydraulic head at A The pressure at point A is pA

Part A The hydraulic head at A The pressure at point A is pA 290 kPa What is the hydraulic head at point A? Express your answer in the appropriate units to three significant figures. hydraulic head Value mits Submit Hints My Answers Give Up Review Part Part B The hydraulic head at C The flow in the pipe is steady and incompressible. What is the hydraulic head at C? Express your answer in the appropriate units to three significant figures. hydraulic head Submit Hints My Answers Give Up Review Par

Solution

1.

Hydraulic head at A is = P_A / (rho*g) + h_A

= 290*10³ / (998*9.81) + 0

= 29.621 m

Part-B

By continuity equation,

A1*V1 = A2*V2

(pi/4 * D₁²) * V₁ = (pi/4 * D₂²) * V₂

100² * 8.2 = 150² * V_c

V_c = 3.644 m/s

Kinematic head at C is V_c² / (2g) = 3.644² / (2*9.81)

= 0.67696 m

Kinematic head at A is V_a² / (2g) = 8.2² / (2*9.81)

= 3.42711 m

Total head = 29.621 + 3.42711 = 33.048 m

Hydraulic head at C is = Total head - Kinetic head at C

= 33.048 - 0.67696

= 32.3711 m