2. A cylindrical tank 1.5m in diameter contains a column of 3 immiscible liquids with SG 0.8, 1.0, and 1.8. Each of the liquids have heights of 0.5m. There is a 50mm diameter orifice at the bottom of the tank. Solve the time needed to drain the first liquid, time needed to drain the second liquid, and time needed to fully drain the tank.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2. A cylindrical tank 1.5m in diameter contains
a column of 3 immiscible liquids with SG 0.8,
1.0, and 1.8. Each of the liquids have heights
of 0.5m. There is a 50mm diameter orifice at
the bottom of the tank. Solve the time needed
to drain the first liquid, time needed to drain
the second liquid, and time needed to fully
drain the tank.
Hint: For layered fluids similar to this
problem, before plugging the given into
the Bernoulli's Equation, you have to
convert the heights of the other fluids to
the equivalent height of the fluid that is
presently being drained. Heights of
different fluids are equivalent if they will
result to the same pressure at the
bottom. As an example, an 8m high
water (SG = 1.0) will produce the same
pressure at the bottom as a 10m high oil
(SG = 0.8). Thus, an 8m high water is
equivalent to a 10m high oil.
Yoil hoil
P = Yw hw
=
Transcribed Image Text:2. A cylindrical tank 1.5m in diameter contains a column of 3 immiscible liquids with SG 0.8, 1.0, and 1.8. Each of the liquids have heights of 0.5m. There is a 50mm diameter orifice at the bottom of the tank. Solve the time needed to drain the first liquid, time needed to drain the second liquid, and time needed to fully drain the tank. Hint: For layered fluids similar to this problem, before plugging the given into the Bernoulli's Equation, you have to convert the heights of the other fluids to the equivalent height of the fluid that is presently being drained. Heights of different fluids are equivalent if they will result to the same pressure at the bottom. As an example, an 8m high water (SG = 1.0) will produce the same pressure at the bottom as a 10m high oil (SG = 0.8). Thus, an 8m high water is equivalent to a 10m high oil. Yoil hoil P = Yw hw =
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