Friction and heat transfer in forced air convection with variable physical properties

Fuente: arXiv
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Hauptverfasser: Modesti, Davide, Pirozzoli, Sergio
Format: Preprint
Veröffentlicht: 2024
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author Modesti, Davide
Pirozzoli, Sergio
author_facet Modesti, Davide
Pirozzoli, Sergio
contents We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature, viscosity, and density variations, we utilize the mean momentum balance and mean thermal balance equations to develop integral transformations that account for the impact of variable fluid properties. These transformations are then applied inversely to predict the friction and heat transfer coefficients, leveraging the universality of passive scalars transport theory. Our proposed approach is validated using a comprehensive dataset from direct numerical simulations, covering both heating and cooling conditions up to a friction Reynolds number of approximately $\Rey_τ\approx 3200$. The predicted friction and heat transfer coefficients closely match DNS data with an accuracy margin of 1-2\%, representing a significant improvement over the current state of the art.
format Preprint
id arxiv_https___arxiv_org_abs_2404_10473
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Friction and heat transfer in forced air convection with variable physical properties
Modesti, Davide
Pirozzoli, Sergio
Fluid Dynamics
We establish a theoretical framework for predicting friction and heat transfer coefficients in variable-properties forced air convection. Drawing from concepts in high-speed wall turbulence, which also involves significant temperature, viscosity, and density variations, we utilize the mean momentum balance and mean thermal balance equations to develop integral transformations that account for the impact of variable fluid properties. These transformations are then applied inversely to predict the friction and heat transfer coefficients, leveraging the universality of passive scalars transport theory. Our proposed approach is validated using a comprehensive dataset from direct numerical simulations, covering both heating and cooling conditions up to a friction Reynolds number of approximately $\Rey_τ\approx 3200$. The predicted friction and heat transfer coefficients closely match DNS data with an accuracy margin of 1-2\%, representing a significant improvement over the current state of the art.
title Friction and heat transfer in forced air convection with variable physical properties
topic Fluid Dynamics
url https://arxiv.org/abs/2404.10473