Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 7, Problem 12P
Derive by dimensional analysis an expression for the local velocity in established pipe flow through a smooth pipe if this velocity depends only on mean velocity, pipe diameter, distance from pipe wall, and density and viscosity of the fluid.
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40 pipe. note that the dynamic viscosity 0.088 kg/m.s.
Calculate the following using SI units:
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5- The Volumetric flow rate in pipe (C) Qc.
Og = 2o mm
Ug = 2UA
Perolenm
crude oIL
A
ma = 1o Kg/s
O = 5o mm
mic = ?
Go = 7000 k9/m.s
Nate that!-
O, = 30 mm.
D:0iameter.
U:velocity
G mass velocity
mimass How vate
Dimensional analysis is to be used to correlate data on bubble size with the properties of the liquid when gas bubbles are formed by a gas issuing from a small orifice below the liquid surface. Assume that the significant variables are bubble diameter D, orifice diameter d, liquid density rho, surface tension sigma (in N/m), liquid viscosity mu, and g. Select d, rho, and g as the core variables.
Chapter 7 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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