Flow rate calculation

  • #1
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
...
 

Answers and Replies

  • #2
21,939
4,993
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
  • #3
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 ?
 
Last edited:
  • #4
21,939
4,993
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
  • #5
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 ...
 
  • #6
i assumed it is parabolic as laminar has parabolic profile ..flow was laminar
 
  • #8
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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