Abstract

This numerical study presents a simple but extremely effective way to considerably enhance heat transport in turbulent wall-bounded multiphase flows, namely by using oleophilic walls. As a model system, we pick the Rayleigh–Bénard set-up, filled with an oil–water mixture. For oleophilic walls, using only $10\,\%$ volume fraction of oil in water, we observe a remarkable heat transport enhancement of more than $100\,\%$ as compared to the pure water case. In contrast, for oleophobic walls, the enhancement is only of about $20\,\%$ as compared to pure water. The physical explanation of the heat transport increment for oleophilic walls is that thermal plumes detach from the oil-rich boundary layer and carry the heat with them. In the bulk, the oil–water interface prevents the plumes from mixing with the turbulent water bulk and to diffuse their heat. To confirm this physical picture, we show that the minimum amount of oil necessary to achieve the maximum heat transport is set by the volume fraction of the thermal plumes. Our findings provide guidelines of how to optimize heat transport in wall-bounded thermal turbulence. Moreover, the physical insight of how coherent structures are coupled with one of the phases of a two-phase system has very general applicability for controlling transport properties in other turbulent wall-bounded multiphase flows.

Highlights

  • The key property of a turbulent flow is its ability to efficiently transport heat, mass and/or momentum

  • The oil–water interface prevents the plumes from mixing with the turbulent water bulk and to diffuse their heat. To confirm this physical picture, we show that the minimum amount of oil necessary to achieve the maximum heat transport is set by the volume fraction of the thermal plumes

  • We further reveal a strong correlation between the oil phase and the thermal plumes in the oleophilic cases, and show that the minimum amount of oil to achieve maximum heat transport is set by the volume fraction of thermal plumes

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Summary

Introduction

The key property of a turbulent flow is its ability to efficiently transport heat, mass and/or momentum. One method is to promote the detachment of plumes from the boundary layers by adding surface roughness (Shen, Tong & Xia 1996; Ciliberto & Laroche 1999; Du & Tong 2000; Ahlers et al 2009; Salort et al 2014; Wagner & Shishkina 2015; Xie & Xia 2017; Zhu et al 2017; Jiang et al 2018) or adding shear (Bergman, Incropera & Lavine 2011; Pirozzoli et al 2017; Blass et al 2020; Wang, Zhou & Sun 2020b) Another method is to confine the system in the spanwise direction in order to increase the coherence of the thermal plumes and the heat transport (Huang et al 2013; Chong et al 2015, 2017).

Methodology
Governing equations
Configurations of turbulent Rayleigh–Bénard convection with two phases
Heat transfer in the RB convection with oleophilic and oleophobic walls
Mechanism of heat transfer enhancement
Findings
Conclusions and outlook

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