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

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Discussion Overview

The discussion focuses on calculating volumetric flow rate and heat transfer in a semi-circular pipe, addressing both theoretical and practical aspects of fluid dynamics in this specific geometry.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a formula for volumetric flow rate in a circular pipe and seeks to adapt it for a semi-circular pipe.
  • Another participant emphasizes the need for clarity in symbol definitions and questions the meaning of "semi-circular," suggesting it could refer to different configurations.
  • A later reply clarifies that the semi-circular pipe is a circular pipe with one flat side, confirming assumptions of steady state laminar flow and smooth walls.
  • Another participant inquires about the heat transfer coefficient for convection in a semi-circular pipe, indicating a related but separate concern.

Areas of Agreement / Disagreement

Participants generally agree on the definitions of symbols and the configuration of the pipe, but there remains uncertainty regarding the appropriate formula for flow rate in a semi-circular pipe and the heat transfer coefficient.

Contextual Notes

The discussion lacks specific formulas for semi-circular flow and heat transfer coefficients, and assumptions about flow characteristics may not be universally applicable.

Who May Find This Useful

Individuals interested in fluid dynamics, particularly those studying or working with non-standard pipe geometries in engineering or physics contexts.

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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