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Two very large open tanks A and F (Fig. P12.83) contain
Chapter 12, Problem 93P(choose chapter or problem)
Two very large open tanks A and F (Fig. P12.93) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance \(h_1\) below the level of the liquid in A, to what height \(h_2\) will liquid rise in pipe E? Express your answer in terms of \(h_1\).
Questions & Answers
QUESTION:
Two very large open tanks A and F (Fig. P12.93) contain the same liquid. A horizontal pipe BCD, having a constriction at C and open to the air at D, leads out of the bottom of tank A, and a vertical pipe E opens into the constriction at C and dips into the liquid in tank F. Assume streamline flow and no viscosity. If the cross-sectional area at C is one-half the area at D and if D is a distance \(h_1\) below the level of the liquid in A, to what height \(h_2\) will liquid rise in pipe E? Express your answer in terms of \(h_1\).
ANSWER:
Solution 93P
Step 1 of 4:
-
At point D, let the absolute pressure be
, area be
and the atmospheric pressure be
. The height of the water level is given to be
and the density of water
.
Hence the pressure at point D is,
=
+
Speed of water at D,