In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given as u(r) = umax(1 - r2/R2), where R is the radius of the pipe, r is the radical distance from the center of the pipe, and umax is the maximum flow velocity, which occurs at the center. Obtain the following: A relation for the drag force applied by the fluid on a section of the pipe at length L The value of the drag force for water flow at 20°C with R = 0.07 m, L = 35 m, umax = 4 m/s, and μ = 0.0010 kg/m·s

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.26P
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In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given as u(r) = umax(1 - r2/R2), where R is the radius of the pipe, r is the radical distance from the center of the pipe, and umax is the maximum flow velocity, which occurs at the center. Obtain the following:

  • A relation for the drag force applied by the fluid on a section of the pipe at length L
  • The value of the drag force for water flow at 20°C with R = 0.07 m, L = 35 m, umax = 4 m/s, and μ = 0.0010 kg/m·s
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