Question 4: Consider laminar flow through a very long straight section of round pipe. It is shown that the velocity profile through a cross-sectional area of the pipe is parabolic, with the axial velocity component given by V - 2V (1-P) avg R where R is the radius of the inner wall of the pipe and Vavg is the average velocity. Calculate the momentum-flux correction factor through a cross section of the pipe for the case in which the pipe flow represents an outlet of the control volume, as sketched in side Figure.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 4:
Consider laminar flow through a very long straight section of
round pipe. It is shown that the velocity profile through a
cross-sectional area of the pipe is parabolic, with the axial
velocity component given by
V=2V av
(1
R²)
avg
where R is the radius of the inner wall of the pipe and Vavg is
the average velocity. Calculate the momentum-flux
correction factor through a cross section of the pipe for the
case in which the pipe flow represents an outlet of the control
volume, as sketched in side Figure.
CV
R
Vave
Transcribed Image Text:Question 4: Consider laminar flow through a very long straight section of round pipe. It is shown that the velocity profile through a cross-sectional area of the pipe is parabolic, with the axial velocity component given by V=2V av (1 R²) avg where R is the radius of the inner wall of the pipe and Vavg is the average velocity. Calculate the momentum-flux correction factor through a cross section of the pipe for the case in which the pipe flow represents an outlet of the control volume, as sketched in side Figure. CV R Vave
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