Concept explainers
A pressurized tank of water has a 10-cm-diameter orifice at the bottom, where water discharges to the atmosphere. The water level is 2.5 m above the outlet. The tank air pressure above the water level is 250 kPa (absolute) while the atmospheric pressure is 100 kPa. Neglecting frictional effects, determine the initial discharge rate of water from the tank. Answer: 0.147 m3/s
The initial discharge rate of water from the tank.
Answer to Problem 55P
The initial discharge rate of water from the tank is
Explanation of Solution
Given information:
The diameter of the orifice is
The figure below shows the different sections of the tank.
Figure-(1)
Write the expression for Bernoulli's equation between the point
Here, the pressure at section
Write the expression discharge of liquid through orifice.
Here, the area of the orifice is
Write the expression for area of the orifice.
Here, the diameter of the orifice is
Substitute
Calculation:
The section
Substitute
Substitute
Conclusion:
The initial discharge rate of water from the tank is
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Chapter 5 Solutions
Fluid Mechanics: Fundamentals and Applications
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