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Employing numerical simulations, we provide an accurate insight into the ofheat transfer mechanisms in the Rayleigh-B\'enard convection of concentratedemulsions with finite-size droplets. We focus on the unsteady dynamicscharacterizing the thermal convection of these complex fluids close to thetransition from conductive to convective states, where the heat transferphenomenon, expressed in terms of the Nusselt number Nu, is characterized bypronounced fluctuations triggered by collective droplets motion [Pelusi et al.,Soft Matter 17(13), 3709 - 3721 (2021)]. By systematically increasing thedroplet concentration, we show how these fluctuations emerge along with thesegregation of "extreme events" in the boundary layers, causing intermittentbursts in the heat flux fluctuations. Furthermore, we quantify the extension$S$ and the duration $\mathcal{T}$ of the coherent droplet motion accompanyingthese extreme events via a suitable statistical analysis involving the dropletsdisplacements. We show how the increase in droplet concentration results in apower-law behaviour of the probability distribution function of $S$ and$\mathcal{T}$ and how this outcome is robust at changing the analysis protocol.Our work offers a comprehensive picture, linking macroscopic heat transferfluctuations with the statistics of droplets at the mesoscale.

Analysis of the heat transfer fluctuations in the Rayleigh-B\'enard convection of concentrated emulsions with finite-size droplets