Role of interfacial stabilization in the Rayleigh-B\'enard convection of liquid-liquid dispersions

TL;DR

This study uses mesoscale simulations to explore how interfacial stabilization affects the convective dynamics and heat transfer in liquid-liquid dispersions under Rayleigh-Bénard convection, revealing significant mesoscale effects.

Contribution

It introduces a numerical approach to compare stabilized and non-stabilized liquid dispersions, highlighting the impact of interfacial physics on mesoscale heat flux fluctuations and convective behavior.

Findings

Similar global heat transfer in stabilized and non-stabilized systems

Enhanced mesoscale heat flux fluctuations in stabilized dispersions

Maximum mesoscale fluctuation dependence on volume fraction

Abstract

Based on mesoscale lattice Boltzmann numerical simulations, we characterize the Rayleigh-B\'enard (RB) convective dynamics of dispersions of liquid droplets in another liquid phase. Our numerical methodology allows us to modify the droplets' interfacial properties to mimic the presence of an emulsifier (e.g., a surfactant), resulting in a positive disjoining pressure that stabilizes the droplets against coalescence. To appreciate the effects of this interfacial stabilization on the RB convective dynamics, we carry out a comparative study between a proper emulsion, i.e., a system where the stabilization mechanism is present (stabilized liquid-liquid dispersion), and a system where the stabilization mechanism is absent (non-stabilized liquid-liquid dispersion). The study is conducted by systematically changing both the volume fraction, $\phi$, and the Rayleigh number, Ra. We find that the morphology of the two systems is dramatically different due to the different interfacial properties. However, the two systems exhibit similar global heat transfer properties, expressed via the Nusselt number Nu. Significant differences in heat transfer emerge at smaller scales, which we analyze via the Nusselt number defined at mesoscales, Nu$_{\mathrm{mes}}$. In particular, stabilized systems exhibit more intense mesoscale heat flux fluctuations due to the persistence of fluid velocity fluctuations down to small scales, which are instead dissipated in the interfacial dynamics of non-stabilized dispersions. For fixed Ra, the difference in mesoscale heat flux fluctuations depends non-trivially on $\phi$, featuring a maximum in the range $0.1 < \phi < 0.2$. Taken all together, our results highlight the role of interfacial physics in mesoscale convective heat transfer of complex fluids.