Oscillating thermocapillary convection regimes driven by a point heat source

On the role of heat source location and multiplicity in topographically controlled Marangoni–Rayleigh–Bénard convection

“…The reader specifically interested in the mixed Marangoni-buoyancy flow generated by a single source may consider some relevant works in the literature (e.g. Bratukhin, Makarov & Mizyov 2000). Here, we limit ourselves to reporting the values for , and which for N = 1 read 7.38, 7.31 and 7.35, respectively (as expected, these values are slightly larger than those reported in the caption of figure 6).…”

“…These authors studied this problem under the assumption of infinite value of the Prandtl number (because it leads to convenient simplifications in the governing equations) and revealed that the dynamics typical of this regime has a 'signature' that makes it very peculiar even when it is compared with akin phenomena such as turbulence in buoyancy flow (i.e. notable differences also exist with regard to the 'hard RB turbulence' originally analysed by Castaing et al 1989).…”

Modeling of stratified two‐phase flows with non‐uniform evaporation based on the exact solution of convection equations

“…The studies considering the Knudsen layer (which is a gas-dynamic discontinuity) to model the mass transfer due to evaporation with the help of the kinetic description are not mentioned here. Depending on the peculiarities of the problem, the interface conditions can take into account the temperature jump across the phase boundary [3,4], heat defect when the heat is transferred through the interface and/or additional dynamical effects induced by the phase transition [5,7], concentration effects appearing due to the presence of the surfactant [9,10], or influence of thermodiffusion effects [11][12][13]. If the interphase boundary is a free surface, then it is assumed that all the characteristics of the gas phase are considered to be known, the dynamical effects in the gas phase do not influence the motion of the entire system, only the characteristics of the liquid and position of the free surface have to be determined [14].…”

Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid

“…This method was used by Hartland & Burri (1976) to determine the maximum possible drop volume as a function of the fluid densities and interfacial tensions. Extending the original work of Hartland & Burri (1976), subsequent studies focused on experimental verification of the floatability of water drops on oil surfaces (Phan et al 2012;Phan 2014), the floatability of non-wetting and Leidenfrost drops and liquid marbles (Ooi et al 2016;Wong, Adda-Bedia & Vella 2017), addressing the role of the line tension (Bratukhin, Makarov & Teplova 2001;George et al 2016) and developing a simplified model by assuming that the upper sessile cap of the drop is approximately flat (Bratukhin & Makarov 1994).…”

“…2016; Wong, Adda-Bedia & Vella 2017), addressing the role of the line tension (Bratukhin, Makarov & Teplova 2001; George et al. 2016) and developing a simplified model by assuming that the upper sessile cap of the drop is approximately flat (Bratukhin & Makarov 1994).…”