A novel lower bound for the friction factor-Reynolds number product in laminar flows of Newtonian fluids through singly connected ducts

We revisit the analytical solution for steady, fully developed, pressure-driven flows of Newtonian fluids through n-sided cusped ducts and find that the friction factor–Reynolds number product is a non-monotonic function of n and converges to fRe=64/π2(≅6.486) in the limit as n→∞. To the best of our...

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Bibliographic Details
Published in:	Results in engineering Vol. 21; p. 101948
Main Authors:	Serra, L.E.C., Siqueira, I.R., Lopes, A.B.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-03-2024 Elsevier
Online Access:	Get full text
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Summary:	We revisit the analytical solution for steady, fully developed, pressure-driven flows of Newtonian fluids through n-sided cusped ducts and find that the friction factor–Reynolds number product is a non-monotonic function of n and converges to fRe=64/π2(≅6.486) in the limit as n→∞. To the best of our knowledge, this is the lowest fRe ever reported for laminar flows of Newtonian fluids through singly connected ducts. We discuss the implications of these results in the context of small-scale fluid flow and heat transfer systems and point directions for future studies in the field. •The lowest friction factor-Reynolds number product ever reported for a singly connected duct.•Potential practical implications in the design of heating and cooling devices.
ISSN:	2590-1230 2590-1230
DOI:	10.1016/j.rineng.2024.101948