Q.37 Water is moving through a pipe. The velocity profile at a particular section is given mathematically as - (1) (²-²) 4μ 4 V = where v = velocity of water at any position r В = constant μ = viscosity of water d= pipe diameter r = radial distance from centreline of pipe (i) What is the shear stress at the wall of the pipe due to the water? (ii) What is the shear stress at a position r = d/4? (iii) If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance?
Q.37 Water is moving through a pipe. The velocity profile at a particular section is given mathematically as - (1) (²-²) 4μ 4 V = where v = velocity of water at any position r В = constant μ = viscosity of water d= pipe diameter r = radial distance from centreline of pipe (i) What is the shear stress at the wall of the pipe due to the water? (ii) What is the shear stress at a position r = d/4? (iii) If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q.37
Water is moving through a pipe. The velocity profile at a particular section is given mathematically as
V =
v- (1) (²²-2²)
4μ
4
where
v = velocity of water at any position r
B: = constant
μ = viscosity of water
d = pipe diameter
r = radial distance from centreline of pipe
(i) What is the shear stress at the wall of the pipe due to the water?
(ii) What is the shear stress at a position r= d/4?
(iii) If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the
water in the direction of flow over this distance?
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