In a hydraulically smooth pipe flow, wall shear stress (to) is measured as 1.5 N/m?. Pipe diameter is 0.2 m. a) Please draw velocity profile in the pipe (for the half of the pipe) by using a 0.0001m interval of the distance from the pipe wall (y) (i.e. y = 0, 0.0001, 0.0002,...). You need to use Microsoft Excel for doing this calculation considering the high number of calculation points. (The fluid is water with a kinematic viscosity (v) of 10-6m2/s and density of 1000 kg/m2.) (You may draw two separate graphs for viscous sublayer and core region.) Table 1. Fxample calculation table
In a hydraulically smooth pipe flow, wall shear stress (to) is measured as 1.5 N/m?. Pipe diameter is 0.2 m. a) Please draw velocity profile in the pipe (for the half of the pipe) by using a 0.0001m interval of the distance from the pipe wall (y) (i.e. y = 0, 0.0001, 0.0002,...). You need to use Microsoft Excel for doing this calculation considering the high number of calculation points. (The fluid is water with a kinematic viscosity (v) of 10-6m2/s and density of 1000 kg/m2.) (You may draw two separate graphs for viscous sublayer and core region.) Table 1. Fxample calculation table
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:PROBLEM 1.
In a hydraulically smooth pipe flow, wall shear stress (to) is measured as 1.5 N/m2. Pipe diameter is 0.2 m.
a) Please draw velocity profile in the pipe (for the half of the pipe) by using a 0.0001m interval of the distance
from the pipe wall (y) (i.e. y = 0, 0.0001, 0.0002, ...). You need to use Microsoft Excel for doing this calculation
considering the high number of calculation points. (The fluid is water with a kinematic viscosity (v) of
10-6m/s and density of 1000 kg/m2.) (You may draw two separate graphs for viscous sublayer and core
region.)
Table 1. Example calculation table
y (m)
u (m/s)
0.0001
0.0002
0.0003
0.0999
0.1
b) Calculate cross sectional average flow velocity for this flow by using your calculated values.
c) Calculate cross sectional average flow velocity for this flow by using the related equations given in the lecture
notes. Compare this calculation with your previous value in b.
You need to submit a short report of maximum one page showing your calculations with equations & your graphs
and the Excel file you prepared.
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