2. In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given by u(r)= (1 +R), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and " is the maximum flow velocity, which occurs at the center. Obtain (a) a relation for the drag force applied by the fluid on a section of the pipe of length L and (b) the value of the drag force for water flow at 20°C with R= R u max R² -Umax
2. In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given by u(r)= (1 +R), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and " is the maximum flow velocity, which occurs at the center. Obtain (a) a relation for the drag force applied by the fluid on a section of the pipe of length L and (b) the value of the drag force for water flow at 20°C with R= R u max R² -Umax
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:2. In regions far from the entrance, fluid flow
through a circular pipe is one dimensional,
and the velocity profile for laminar flow is
given by u(r) = max (1²4R²), where R is the radius
of the pipe, r is the radial distance from the
center of the pipe, and " is the maximum
flow velocity, which occurs at the center. Obtain (a) a relation for
the drag force applied by the fluid on a section of the pipe of length
L and (b) the value of the drag force for water flow at 20°C with R=
0.08 m,
L = 30 m, "max
-
3 m/s, and μ = 0.0010 kg/m.s.
R
U max
-Umax
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