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Water enters a tank of diameter DT steadily at a mass flow
Chapter 5, Problem 44P(choose chapter or problem)
Problem 44P
Water enters a tank of diameter DT steadily at a mass flow rate of An orifice at the bottom with diameter D0
FIGURE P12-34
allows water to escape. The orifice has a rounded entrance, so the frictional losses are negligible. If the tank is initially empty, (a) determine the maximum height that the water will reach in the tank and (b) obtain a relation for water height zas a function of time.
Questions & Answers
QUESTION:
Problem 44P
Water enters a tank of diameter DT steadily at a mass flow rate of An orifice at the bottom with diameter D0
FIGURE P12-34
allows water to escape. The orifice has a rounded entrance, so the frictional losses are negligible. If the tank is initially empty, (a) determine the maximum height that the water will reach in the tank and (b) obtain a relation for water height zas a function of time.
ANSWER:
Solution
Step 1
A) When water enters an empty tank at mm .At Do the water escapes at bottom. We have to determine the maximum water level and relation for water height. By Bernoulli equation. The positive direction of Z is upward. At both the ends it is open to atmosphere(P1=P2=Patm) at free surface(V1=0)