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Low Flow in Pipes- posted in Ankur's blog

Laminar Flow Parabolic Velocity Profile


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#1 Alan.B

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Posted 06 April 2015 - 09:38 AM

Does the laminar flow parabolic velocity profile still apply to inclined pipes? Say I had a system where a pipe of diameter 150mm is raised through a vertical height of 40m under laminar flow conditions, would the velocity profile still be parabolic?

 

Thanks!



#2 ankitg009

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Posted 07 April 2015 - 12:21 AM

As per my knowledge, inclined,vertical , horizontal doesn't matter . Fluid flows because of  the pressure difference applied across the length.. The profile should be parabolic. Just take the frame of reference as an axis parallel to the flow and you will be good to go..



#3 thorium90

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Posted 07 April 2015 - 12:37 AM

I do not agree.

One can analyse the problem using the Navier Stokes equation. Take the horizontal plane as the x component and the height as the y component. In the case of an inclined pipe. Cancel out z terms in the x and y component equations. One will also note that there is the addition of the gravity term. Solve with no slip boundary conditions. Profile is not parabolic.

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#4 breizh

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Posted 07 April 2015 - 01:08 AM

http://www.uio.no/st...eflow_intro.pdf

 

Consider this resource to support your work .

Goodluck

 

Breizh



#5 ankitg009

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Posted 07 April 2015 - 01:33 AM

I do not agree.

One can analyse the problem using the Navier Stokes equation. Take the horizontal plane as the x component and the height as the y component. In the case of an inclined pipe. Cancel out z terms in the x and y component equations. One will also note that there is the addition of the gravity term. Solve with no slip boundary conditions. Profile is not parabolic.

 

The gravity term will affect the DP across the pipe. The relation will still be parabolic.

 

A very nice paper by "Breizh" . Thankyou.






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