2-83 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) = umax (1 r²/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and umax 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 0 R u max - -Umax FIGURE P2-83 12 R2
2-83 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) = umax (1 r²/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and umax 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 0 R u max - -Umax FIGURE P2-83 12 R2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:2-83 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) = umax (1 r²/R2), where R is the
radius of the pipe, r is the radial distance from the center of the
pipe, and umax 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
0
R
u
max
-
-Umax
FIGURE P2-83
12
R2
Expert Solution
Step 1
given data
L =30m
R=0.08m
maximum flow velocity =3m/s
we need to calculate drag force
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