A liquid flows with a velocity through a hole in the side of a large tank. Assume that, V = f (h, g, p, o), where h is the depth of fluid above the hole, g is the acceleration of gravity, p is the fluid density, and o is the surface tension. The data in the following table were obtained for measuring V by changing h, with a fluid having a density p= 10' kg/m' and surface tension o= 0.074 N/m. Perform a dimensional analysis to obtain a suitable set of dimensionless parameters, and calculate their corresponding values by using the dataset in the following table. V (m/s) h (m) 3.13 0.50 4.43 1.00 5.42 1.50 6.25 2.00 7.00 2.50

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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Author:Saeed Moaveni
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Chapter4: Engineering Communication
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A liquid flows with a velocity V through a hole in the side of a large tank. Assume
that, V = f (h, g, p, o), where h is the depth of fluid above the hole, g is the
acceleration of gravity, p is the fluid density, and o is the surface tension. The data in
the following table were obtained for measuring V by changing h, with a fluid having
a density p= 10' kg/m' and surface tension o= 0.074 N/m. Perform a dimensional
analysis to obtain a suitable set of dimensionless parameters, and calculate their
corresponding values by using the dataset in the following table.
V (m/s)
h (m)
3.13
0.50
4.43
1.00
5.42
1.50
6.25
2.00
7.00
2.50
Transcribed Image Text:A liquid flows with a velocity V through a hole in the side of a large tank. Assume that, V = f (h, g, p, o), where h is the depth of fluid above the hole, g is the acceleration of gravity, p is the fluid density, and o is the surface tension. The data in the following table were obtained for measuring V by changing h, with a fluid having a density p= 10' kg/m' and surface tension o= 0.074 N/m. Perform a dimensional analysis to obtain a suitable set of dimensionless parameters, and calculate their corresponding values by using the dataset in the following table. V (m/s) h (m) 3.13 0.50 4.43 1.00 5.42 1.50 6.25 2.00 7.00 2.50
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