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JOURNALS // Pisma v Zhurnal Tekhnicheskoi Fiziki // Archive

Pisma v Zhurnal Tekhnicheskoi Fiziki, 2025 Volume 51, Issue 2, Pages 30–32 (Mi pjtf7183)

Lyon's integral: turbulent thermal conductivity and thickness of thermal sublayer

I. A. Davletshin

Institute of Energy and Advanced Technologies of the Kazan Scientific Center of the Russian Academy of Sciences, Kazan, Russia

Abstract: The coefficient of heat transfer was calculated from the Lyon’s integral using a two-layer model (thermal sublayer and turbulent core flow). The model of Prandtl mixing length was employed for estimation of turbulent thermal conductivity. Under the accepted assumptions, the Lyon’s integral is written in a rather simple form. Its numerical resolution yielded the distribution of heat transfer coefficient over the parameter $\mathrm{Re}\sqrt{\mathrm{Pr}}$, which agrees well with Dittus–Boelter correlation for turbulent heat transfer.

Keywords: Lyon's integral, turbulent thermal conductivity, thermal sublayer, mixing length.

Received: 04.06.2024
Revised: 10.09.2024
Accepted: 10.09.2024

DOI: 10.61011/PJTF.2025.02.59554.20010



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© Steklov Math. Inst. of RAS, 2026