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Unformatted text preview: 57:020 Mechanics of Fluids and Transport
October 15, 2010 NAME
Quiz 5. The cylindrical container shown in the figure is D = 20 cm in
diameter and has an exit hole of d = 3 cm diameter at the bottom.
The tank contains fresh water. If the water surface is falling at the
nearly steady rate dh/dt -0.072 m/s, estimate the average velocity
V from the bottom exit Conservation of mass: Solution:
From the conservation of mass law with one outlet and no inlet,
(+3 points) By noting that is the mass of the water in the tank at time and is the mass flow rate through the exit hole, or
(+5 points) Thus,
(+2 points) ...
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This note was uploaded on 12/08/2011 for the course MECHANICS 57:020 taught by Professor Fredrickstern during the Fall '10 term at University of Iowa.
- Fall '10