Question

Water flows through a constricting pipe. At the inlet, the pressure is 100,000 Pa, the diameter is 1.6 m and the water flows at 1 m/s. The centerline of the outlet of the pipe is the same as the centerline of the inlet of the pipe. Solve for the PRESSURE and VELOCITY of the water exiting the pipe if the diameter is 0.8 m.

I know Bernoulli's equation, it's the solving for two unknowns that has me lost.

Answer 1

At inlet

Pressure  

Velocity

Diameter

Area  

Discharge

At exit

Continuity equation

Exit Velocity V2= 4m/s

Bernoullis Equation

(no change in level)

Density of water

Pressure at exit P2= 92500Pa

Answers

Pressure at exit = 92500Pa

Velocity at exit = 4m/s