(a) At a sudden contraction in a pipe the diameter changes from D, to D2. The pressuredrop, Ap, which develops across the contraction, is a funetion of D and D2, as wellas the velocity in the larger pipe section (V), and the fluid density (p), and viscosity(4). Use D1, V, and u as the repeating variables to determine a suitable set ofdimensionless parameters.(b) A liquid flows with a velocity V through a hole in the side of a large tank. Assumethat, V = f (h, g, p, o), where h is the depth of fluid above the hole, g is thewwwacceleration of gravity, p is the fluid density, and o is the surface tension. The data inthe following table were obtained for measuring V by changing h, with a fluid havinga density p= 10° kg/m' and surface tension o= 0.074 N/m. Perform a dimensionalanalysis to obtain a suitable set of dimensionless parameters, and calculate theircorresponding values by using the dataset in the following table.V (m/s)h (m)3.130.504.431.005.421.506.252.007.002.50

Velocity is defined as the rate of change of position of an object with respect to time and…

) At a sudden contraction in a pipe the diameter changes from Di to D2. The pressure drop, Ap, which develops across the contraction, is a function of Dị and D2, as well as the velocity in the larger pipe section (V), and the fluid density (P), and viscosity (u). Use Di, V, and u as the repeating variables to determine a suitable set of dimensionless parameters.

) At a sudden contraction in a pipe the diameter changes from Di to D2. The pressure drop, Ap, which develops across the contraction, is a function of Dị and D2, as well as the velocity in the larger pipe section (V), and the fluid density (P), and viscosity (u). Use Di, V, and u as the repeating variables to determine a suitable set of dimensionless parameters.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter7: Seepage

Section: Chapter Questions

Problem 7.1P

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