Problem Statement:
A water tank (Diameter=10m) is pressurized with a gas at 20MPa. 15m below the surface of the water in the tank, is an exit pipe (Diameter=0.4m, area=A2) to a second pressurized tank of 16MPa. What is the maximum flow rate delivered to the second tank?
I'm not sure what I'm missing here. I used Bernoulli's to solve for V2 (at the outlet pipe) by setting V1 to zero(b/c area of the water surface >> area of exit pipe cross section). I then solved for the mass flow rate (mdot=rho*A2*V2).
V2=sqrt((2/rho)(P1P2z*rho*g)),
Any suggestions?
