How Do You Calculate Flow Rate and Heat Transfer in a Semi-Circular Pipe?

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SUMMARY

The discussion focuses on calculating volumetric flow rate and heat transfer in a semi-circular pipe. The formula for flow rate in a circular pipe, Q = (π (P1-P2) R^4)/8uL, is established, where Q represents volumetric flow rate, P1 and P2 are pressures, R is the radius, u is viscosity, and L is the length. The user clarifies that the semi-circular pipe is flat on one side, and the flow is assumed to be steady state laminar. The conversation also touches on the need for additional information to provide a precise formula for the semi-circular configuration.

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  • Understanding of fluid dynamics principles
  • Familiarity with the Hagen-Poiseuille equation
  • Knowledge of laminar flow characteristics
  • Basic concepts of heat transfer coefficients
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nitinhanda
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Hi All:

I am trying to calculate volumetris flow rate in a semi circular pipe with a fixed pressure but seem to have problems. I have calculated in a circular pipe as

Q= (Pi (P1-P2) R^4)/8uL

Can anyone comment on how to calculate for semi circular pipes?

Regards
 
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Q= (Pi (P1-P2) R^4)/8uL

First of all: always write down what the symbols mean. Now I have to guess, and that's not helping. If I make a mistake (because I use other symbols because I live on another continent perhaps) we waste time.

Assuming that
Pi = 3.14 (-)
P1 and P2 = pressure (Pa)
R = radius (meter)
u = Viscosity (Pa*s)
L = length (meter)

Then Q is the volumetric flowrate, in (m3/s), which seems correct.

The next question is: what is "semicircular"?
Does it mean that it was a round pipe (like almost all pipes) and that it's now flat on one side? Or did somebody put a bend of 180 degrees in a normal pipe?

The pressure difference in a pipe depends on the wall-roughness, bends, flowrate (turbulent or laminar flow) and type of fluid, to name a few factors.

I don't see enough information here.

I'm sorry if I just made life more difficult, but I cannot simply give you the other formula like that... because I don't know it (I'd need more info!)
 
Hi:

I am sorry for not being clear.

Yes you were right in assuming the symbols. The tube was circular but now its flat on one side - so you are right there also. We can assume steady state laminar flow. We are applying a constant pressure and can assume the tube to be smooth. There is no bend in the tube and we can have the answer in terms of "u - viscosity".

Please let me know if you need any other information.

Thanks
 


Can Anyone please tell me what is the heat transfer coefficient for convection in a semi-circular pipe?
 

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