Flow Rate Calculation: Get Help Solving

AI Thread Summary
The discussion revolves around calculating flow rate using a parabolic velocity profile given specific radius and velocity values. The user seeks clarification on how to derive the equation for the parabola and subsequently calculate the volumetric flow rate. Key formulas mentioned include Q = A*v and Q = ∫_0^R v_z(2πr) dr, indicating the integration approach for determining flow rate. The conversation emphasizes the need to understand the relationship between velocity and radius for accurate calculations. The user confirms understanding that the total flow rate through the duct can be determined using these principles.
sehrish shakir
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hello!
i was provided by the radii from 0 to 5 cm and a parabolic profile is also given .. in numeric form i was asked to calculate the flow rate how to understand it to solve further kindly help
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sehrish shakir said:
hello!
i was provided by the radii from 0 to 5 cm and a parabolic profile is also given .. in numeric form i was asked to calculate the flow rate how to understand it to solve further kindly help
...
Please provide more detail about the locations where the velocity is provided, and the velocity values.
 
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Likes sehrish shakir
Thank you for kind response sir ,
it was a question in exam ... like
r=0,1,2,3,4,5
v=2,1.92,1.68,1.28,0.72,0
numerical values may be some digits different but i need to understand a problem .
now if diameter is 10cm then calculate the flow rate ?
 
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You said that the profile is parabolic. Do you know how to determine the equation for the parabola that satisfies this data? If you knew the equation for the parabola of v vs r, would you know how to determine the volumertic flow rate?
 
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Likes sehrish shakir
Vz\Vm=2(1-r^2/R^2)
this is the relation
Q=A*v
but how to initiate ?
should i specified the boundary condition then integerate or can do some numerical analysis to evaluate integeral or find out the mean value of velocity then proceed ...
 
i assumed it is parabolic as laminar has parabolic profile ..flow was laminar
 
sehrish shakir said:
Vz\Vm=2(1-r^2/R^2)
this is the relation
Q=A*v
but how to initiate ?
No.
$$Q=\int_0^R{v_z(2\pi r)dr}$$
Does this make sense?
 
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Likes sehrish shakir
Chestermiller said:
No.
$$Q=\int_0^R{v_z(2\pi r)dr}$$
Does this make sense?
thank you for reply sir,
yes i got it, it is the total flow rate through duct .
 
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