The turbulent profiles are much flatter than the laminar profile and this flatne
ID: 3697113 • Letter: T
Question
The turbulent profiles are much flatter than the laminar profile and this flatness increases with Reynolds number. What are you asked to solve for: Volumetric flow rate can be generally calculated using the following equation: The velocity magnitude is a function of distance from the centerline of the pipe, r. It means that the velocity profile is not a uniform profile but curved. However, since at every single value of r, the velocity can be considered constant/uniform over a ring with a thickness equal to a very small value, say dr, the flow rate equation, Q=Av, can be applied for these rings: Based on this information, you are asked to calculate the total flow rate, Q, across the pipe cross section, for any give values of R, Vmax, and n. Write a script that takes the following inputs.
What are you asked to solve for:
Volumetric flow rate can be generally calculated using the following equation:
Q = A*V
Q: volumetric flow rate (meter^3/sec)
A: Cross section area to which flow direction is perpendicular (meter^2)
V: Velocity of the flow (meter/sec)
The velocity magnitude is a function of distance from the centerline of the pipe, r. It means that the velocity profile is not a uniform profile but curved.
However, since at every single value of r, the velocity can be considered constant/uniform over a ring with a thickness equal to a very small value, say dr, the flow rate equation, Q=Av, can be applied for these rings:
q= dAxv
Vr: velocity of the flow at a distance r from the centerline
dA: the area of the ring surface 2(pi)dr
Based on this information, you are asked to calculate the total flow rate, Q, across the pipe cross section, for any give values of R, Vmax, and n.
Write a script that takes the following inputs.
Inputs to your script:
n
R
Vmax
Output:
- The volumetric flow rate.
- Average velocity across the cross section:
Explanation / Answer
Then we make all devices implement this interface.
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