Problem 5. The fully-developed velocity profile for laminar flow in a pipe is very different from that for turbulent flow. For laminar flow, the velocity profile is parabolic (where is centerline velocity): V=1-(+)² For turbulent flow, the time averaged velocity profile can be approximated by a power-law profile: = (1-) Find the ratio of average velocity to centerline velocity, V/Ve, and the dimensionless radial location, 1* = r/R. where you would need to place a Pitot tube if it is to measure the average velocity in the pipe for (a) laminar flow and (b) turbulent flow with n = 6.0 at Rep = 20,000. NOTE: For the integration of the turbulent profile, let r* = r/R and y* = 1 - *.
Problem 5. The fully-developed velocity profile for laminar flow in a pipe is very different from that for turbulent flow. For laminar flow, the velocity profile is parabolic (where is centerline velocity): V=1-(+)² For turbulent flow, the time averaged velocity profile can be approximated by a power-law profile: = (1-) Find the ratio of average velocity to centerline velocity, V/Ve, and the dimensionless radial location, 1* = r/R. where you would need to place a Pitot tube if it is to measure the average velocity in the pipe for (a) laminar flow and (b) turbulent flow with n = 6.0 at Rep = 20,000. NOTE: For the integration of the turbulent profile, let r* = r/R and y* = 1 - *.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problem 5. The fully-developed velocity profile for laminar flow in a pipe is very different from that for turbulent
flow. For laminar flow, the velocity profile is parabolic (where is centerline velocity):
V=1-(+)²
For turbulent flow, the time averaged velocity profile can be approximated by a power-law profile:
= (1-)
Find the ratio of average velocity to centerline velocity, V/Ve, and the dimensionless radial location, 1* = r/R.
where you would need to place a Pitot tube if it is to measure the average velocity in the pipe for (a) laminar flow
and (b) turbulent flow with n = 6.0 at Rep = 20,000.
NOTE: For the integration of the turbulent profile, let r* = r/R and y* = 1 - *.
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