8. Fluid flow through a circular pipe is one-dimensional, and the velocity profile for laminar flow is given by u(r) = umax (1-2) 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. Determine: (a). a relation for the drag force applied by the fluid on a section of the pipe of length L. (b). the value of the drag force for water flow at 20°C with R = 0.08m, L = 15m, umax = 3m/s, µ = 0.001kg/m. s. Umax (1 - 5 R4 Umax Solution

Elements Of Electromagnetics
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8.
Fluid flow through a circular pipe is one-dimensional, and the velocity
profile for laminar flow is given by u(r) = Umax (1 –) 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. Determine:
(a). a relation for the drag force applied by the fluid on a section of the pipe
of length L.
(b). the value of the drag force for water flow at 20°C with R = 0.08m, L
15m, umax = 3m/s, u = 0.001kg/m. s.
%3D
%3D
1
R2
-
'max
Umax
Solution
а)
Transcribed Image Text:8. Fluid flow through a circular pipe is one-dimensional, and the velocity profile for laminar flow is given by u(r) = Umax (1 –) 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. Determine: (a). a relation for the drag force applied by the fluid on a section of the pipe of length L. (b). the value of the drag force for water flow at 20°C with R = 0.08m, L 15m, umax = 3m/s, u = 0.001kg/m. s. %3D %3D 1 R2 - 'max Umax Solution а)
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