Heat Transfer Coefficient of a circular water duct of rectangular cross section

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SUMMARY

The discussion focuses on the analytical calculation of the heat transfer coefficient (HTC) for a circular water duct with a rectangular cross-section. Gal Štempihar highlights the lack of specific empirical equations for this configuration, despite existing literature on straight rectangular ducts and circular helical pipes. The conversation emphasizes that the curvature of the duct increases the HTC due to centrifugal forces creating a radial pressure gradient. Participants request additional details, such as flow characteristics and aspect ratios, to better understand the problem.

PREREQUISITES
  • Understanding of heat transfer principles, specifically heat transfer coefficients.
  • Familiarity with fluid dynamics concepts, including laminar and turbulent flow.
  • Knowledge of empirical equations related to heat transfer in ducts and pipes.
  • Ability to interpret and create diagrams for complex geometries.
NEXT STEPS
  • Research analytical methods for calculating heat transfer coefficients in curved ducts.
  • Study the impact of curvature on heat transfer in fluid systems.
  • Examine empirical equations for heat transfer in rectangular and circular ducts.
  • Explore computational fluid dynamics (CFD) simulations for complex duct geometries.
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Engineers, researchers, and students in thermal engineering, fluid dynamics, and HVAC design who are involved in the analysis and optimization of heat transfer in duct systems.

Galst
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TL;DR
calculation of heat transfer coefficient for round curved square cross section water duct
Hello all, i hope you're having a nice day.

I have a question about analytical heat transfer coefficient (HTC) calculation/determination for a rectangular duct curved in a circle. I have found some literature on this topic and also found empirical equations for rectangular cross section straight water ducts/pipes heat transfer calculation based on dimensions of the duct and also some equations for circular cross section helical pipe coil HTC calculation [1]. But none for my specific problem. I know that with curvature of the pipe/duct, the HTC increases as a result of centrifugal forces inducing radial pressure gradient. Has any of you dealt with something similar in the past? If anyone has any experience or can recommend me some literature for my problem or help me in any other way I would be very grateful.

Best regards!

Gal Štempihar

[1] BERGMAN, Theodore L. Fundamentals of heat and mass transfer. John Wiley & Sons, 2011.
 
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Welcome to PF.

Sorry, can you upload a diagram of this pipe? (Use the "Attach files" link below the Edit window.) I'm having a hard time picturing a "circular water duct of rectangular cross section". Thanks.
 
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Is the flow laminar or turbulent? What is the aspect ratio for the rectangular cross section? What is the radius of curvature of the channel?
 
berkeman said:
I'm having a hard time picturing a "circular water duct of rectangular cross section".
Take a length of rectangular tubing, then wrap it around a telephone pole.
(about 80%+ confidence in this description)

p.s. In use, you may want to remove the telephone pole.
 

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