velocity and the corresponding flow rate (in c the following diameters: 5.08. 10.16, 15.24, and 25.40 cm.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...
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A dimensionless group called the Reynolds number is defined for a flow in a pipe or tube
DV p
NRe
%3D
uV/D
Where V is the average velocity in the pipe, p is the fluid density, u is the fluid viscosity, D is the tube
diameter. The second form of the group indicates that it is a ratio of the convective (turbulent)
momentum flux to the molecular (viscous) momentum flux, or the ratio of inertial forces (which are
destabilizing) to viscous forces (which are stabilizing). When viscous forces dominate over inertial
forces, the flow is laminar and fluid elements flow in smooth, straight streamlines, whereas when inertial
forces dominate, the flow is unstable and the flow pattern break up into random fluctuating eddies It is
found that laminar flow in a pipe occurs as long as the value of Reynolds number is less than 2000.
Calculate the maximum velocity and the corresponding flow rate (in cm'/s) at which lamina: tlow
of water is possible in tubes with the following diameters:
0.64,
1.27,
2.54,
5.08,
10.16, 15.24, and 25.40 cm.
Transcribed Image Text:(6) A dimensionless group called the Reynolds number is defined for a flow in a pipe or tube DV p NRe %3D uV/D Where V is the average velocity in the pipe, p is the fluid density, u is the fluid viscosity, D is the tube diameter. The second form of the group indicates that it is a ratio of the convective (turbulent) momentum flux to the molecular (viscous) momentum flux, or the ratio of inertial forces (which are destabilizing) to viscous forces (which are stabilizing). When viscous forces dominate over inertial forces, the flow is laminar and fluid elements flow in smooth, straight streamlines, whereas when inertial forces dominate, the flow is unstable and the flow pattern break up into random fluctuating eddies It is found that laminar flow in a pipe occurs as long as the value of Reynolds number is less than 2000. Calculate the maximum velocity and the corresponding flow rate (in cm'/s) at which lamina: tlow of water is possible in tubes with the following diameters: 0.64, 1.27, 2.54, 5.08, 10.16, 15.24, and 25.40 cm.
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