Spectral Theory of Turbulent Heat Transfer in the Presence of a Rough Wall

Journal article (2023)

Authors

J.W.R. Peeters Energy Technology - Mechanical, Maritime and Materials Engineering
Research Group
Energy Technology (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2023 J.W.R. Peeters
DOI: https://doi.org/10.1103/PhysRevLett.131.134001
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Published Date

2023

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Process and Energy

Research Group

Energy Technology

Abstract

Using the phenomenological theory of turbulence, a direct link between the Stanton number - a dimensionless number that represents the ratio of transferred heat to the thermal capacity of the fluid - and the scalar spectrum is established for both smooth wall and rough wall conditions. The effect of different scales of motion on heat transfer is demonstrated by investigating relevant limits of the scalar spectrum. It is shown that two important observations in literature - the lack of increase in heat transfer beyond a certain roughness size and the nonclassical Prandtl number scaling - are reproduced if only the viscous inertial and diffusive range of the scalar spectrum is accounted for.

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