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Investigation of flow dynamics and heat transfer mechanism in turbulent Rayleigh–Bénard convection over multi-scale rough surfaces

Published online by Cambridge University Press:  28 April 2022

Mukesh Sharma ,
Krishan Chand  and
Arnab Kr. De Open the ORCID record for Arnab Kr. De [Opens in a new window]
Mukesh Sharma
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India
Krishan Chand
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India
Arnab Kr. De*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India
*
†Email address for correspondence: akd@iitg.ac.in
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Abstract

We present a two-dimensional numerical study of turbulent Rayleigh–Bénard convection with air as the working fluid over a multi-scale randomly roughened surface in a rectangular box of aspect ratio 2 over three decades of Rayleigh number ($10^8 \leq {\textit {Ra}} \leq 10^{11}$). With varied response of the roughness elements at different ${\textit {Ra}}$, enhanced heat transfer scaling ($\gamma =0.41$) is retained throughout the explored ${\textit {Ra}}$ range. The plume emission process is triggered from the taller roughness elements at a lower ${\textit {Ra}}$, while smaller elements contribute significantly at higher ${\textit {Ra}}$. Increased plume emission frequency compared to the smooth case is reflected from the enhanced volume fraction and thermal dissipation rate of plumes. The tip of the roughness elements exhibits the highest temperature and vertical velocity fluctuations, while washing out of the trapped fluid in the throat region holds the key to enhanced heat flux at higher ${\textit {Ra}}$. Increased localized pockets of fluid at higher ${\textit {Ra}}$ indicate better inter-scale energy transfer, which is reflected in higher energy content at all scales in the computed temperature spectra. The decomposition of the flow field into orthogonal modes reveals that heat transfer enhancement at higher ${\textit {Ra}}$ is associated with multiple small-scale structures. Owing to better energy transfer and intense localized fluctuations, modal distribution of energy is less severe for higher ${\textit {Ra}}$, and stable twin large-scale rolls do not favour an efficient heat transport process.

JFM classification

Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 941 , 25 June 2022 , A20
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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