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The velocity distribution for flow over a plate is given by u = 0.5y - y2 where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m2, then what is the shear stress at 0.20 m from the boundary?
  • a)
    0.9 N/m2
  • b)
    1.8 N/m2
  • c)
    2.25 N/m2
  • d)
    0.09 N/m2
Correct answer is option 'D'. Can you explain this answer?
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The velocity distribution for flow over a plate is given by u = 0.5y -...
U is the velocity in the x-direction and y is the distance from the plate surface in the y-direction.

To find the velocity distribution for flow over a plate, we can use the given equation: u = 0.5y - y^2.

This equation represents a parabolic velocity profile, where the velocity increases linearly with distance from the plate surface until it reaches a maximum value and then decreases parabolically.

Let's plot this velocity distribution:

First, let's find the maximum velocity by taking the derivative of u with respect to y and setting it equal to zero:
du/dy = 0.5 - 2y = 0
2y = 0.5
y = 0.25

So, the maximum velocity occurs at y = 0.25.

Now, let's plot the velocity distribution:

y-axis: Velocity (u)
x-axis: Distance from the plate surface (y)

At y = 0, u = 0.5(0) - 0^2 = 0
At y = 0.25, u = 0.5(0.25) - 0.25^2 = 0.125 - 0.0625 = 0.0625
At y = 0.5, u = 0.5(0.5) - 0.5^2 = 0.25 - 0.25 = 0
At y = 1, u = 0.5(1) - 1^2 = 0.5 - 1 = -0.5

So, the velocity distribution for flow over a plate is:

u = 0.5y - y^2

where u is the velocity in the x-direction and y is the distance from the plate surface in the y-direction.
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The velocity distribution for flow over a plate is given by u = 0.5y - y2 where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m2, then what is the shear stress at 0.20 m from the boundary?a)0.9 N/m2b)1.8 N/m2c)2.25 N/m2d)0.09 N/m2Correct answer is option 'D'. Can you explain this answer?
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The velocity distribution for flow over a plate is given by u = 0.5y - y2 where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m2, then what is the shear stress at 0.20 m from the boundary?a)0.9 N/m2b)1.8 N/m2c)2.25 N/m2d)0.09 N/m2Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The velocity distribution for flow over a plate is given by u = 0.5y - y2 where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m2, then what is the shear stress at 0.20 m from the boundary?a)0.9 N/m2b)1.8 N/m2c)2.25 N/m2d)0.09 N/m2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity distribution for flow over a plate is given by u = 0.5y - y2 where ‘u’ is the velocity in m/s at a distance ‘y’ meter above the plate. If the dynamic viscosity of the fluid is 0.9 N-s/m2, then what is the shear stress at 0.20 m from the boundary?a)0.9 N/m2b)1.8 N/m2c)2.25 N/m2d)0.09 N/m2Correct answer is option 'D'. Can you explain this answer?.
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