1. Water is moving through a pipe, and the laminar-flow velocity profile at some section along this pipe is B CR-²] where V is the velocity at any position y, ß is a constant, u is the viscosity of water, D is the pipe diameter, and y is the radial distance from the pipe centerline. What is the shear stress in the fluid at the wall of the pipe? (Just use symbols). If the given profile persists a distance L along the pipe, what is the force on the wall due to the moving water and what is its direction? Hint: The force on the wall is equal in magnitude but in the opposite direction of that in the fluid.
1. Water is moving through a pipe, and the laminar-flow velocity profile at some section along this pipe is B CR-²] where V is the velocity at any position y, ß is a constant, u is the viscosity of water, D is the pipe diameter, and y is the radial distance from the pipe centerline. What is the shear stress in the fluid at the wall of the pipe? (Just use symbols). If the given profile persists a distance L along the pipe, what is the force on the wall due to the moving water and what is its direction? Hint: The force on the wall is equal in magnitude but in the opposite direction of that in the fluid.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![1. Water is moving through a pipe, and the laminar-flow velocity profile at some section
along this pipe is
[D²
V =
=42²-2²]
4μ
where V is the velocity at any position y, ß is a constant, μ is the viscosity of water, D
is the pipe diameter, and y is the radial distance from the pipe centerline. What is the
shear stress in the fluid at the wall of the pipe? (Just use symbols). If the given profile
persists a distance L along the pipe, what is the force on the wall due to the moving
water and what is its direction?
Hint: The force on the wall is equal in magnitude but in the opposite direction of that
in the fluid.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17540062-5b27-4926-975f-38c9f46ff77b%2F27f2116d-bf73-4efc-8c7d-831c9e9f5986%2Fsdihv08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Water is moving through a pipe, and the laminar-flow velocity profile at some section
along this pipe is
[D²
V =
=42²-2²]
4μ
where V is the velocity at any position y, ß is a constant, μ is the viscosity of water, D
is the pipe diameter, and y is the radial distance from the pipe centerline. What is the
shear stress in the fluid at the wall of the pipe? (Just use symbols). If the given profile
persists a distance L along the pipe, what is the force on the wall due to the moving
water and what is its direction?
Hint: The force on the wall is equal in magnitude but in the opposite direction of that
in the fluid.
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