Effect of ambient gas flow on the instability of Marangoni convection in liquid bridges of various volume ratios

Hydrothermal waves in a liquid bridge subjected to a gas stream along the interface

“…(2018) converge with the previous experimental studies controlling the temperature of gas, although without forced gas motion for LB with and 67 (Yano et al. 2016). For value of the Prandtl number within the range 14 to 68, the dependence of the critical temperature difference () on the average heat flux shows a sharp spike with a near-vertical increase and decrease.…”

“…Surely, the viscous shear is present, but the liquid/gas viscosity ratio is large, μ l /μ g ∼ 50, and the effect of shear stress is not overly significant for the considered velocities (Re gas = 120), especially when the heat transfer is important. The experimental results by Yasnou et al (2018) converge with the previous experimental studies controlling the temperature of gas, although without forced gas motion for LB with Pr = 28 and 67 (Yano et al 2016). For value of the Prandtl number within the range 14 to 68, the dependence of the critical temperature difference (ΔT cr ) on the average heat flux shows a sharp spike with a near-vertical increase and decrease.…”

“…For statically deformed LBs, the stability diagram (ΔT vs V) consists of two branches with a vertex at a certain volume ratio (Hu et al 1994). The impact of a gas flow on the stability of statically deformed LBs was experimentally examined by Yano et al (2016) for Pr = 28, 67 when Re gas < 50, and it showed that the gas moving upward (downward) shifts the vertex position to the side of the smaller (larger) volume ratio. As for the dynamic interface deformation, it was obtained in several numerical (Herrada et al 2011) and experimental (Matsunaga et al 2012;Yang et al 2018) studies that the interface deformation does not exceed 10 μm in a millimetric LB when the velocity of gas is as large as 2 m s −1 .…”

“…The impact of a gas flow on the stability of statically deformed LBs was experimentally examined by Yano et al. (2016) for , 67 when , and it showed that the gas moving upward (downward) shifts the vertex position to the side of the smaller (larger) volume ratio. As for the dynamic interface deformation, it was obtained in several numerical (Herrada et al.…”

An alternative theoretical approach for the derivation of analytic and numerical solutions to thermal Marangoni flows

“…These authors had to develop this method since their commercial software (STAR-LT) could not properly treat the Marangoni type boundary condition. Most recently, a similar implementation is due to Yano et al [49]. Very thin volume elements (thickness about 5x10 -4 mm) were placed next to the surface to simulate axisymmetric steady thermocapillary flows in a liquid bridge with a radius of 15 mm (which would correspond to a nondimensional amplitude of the thin layer r 10 -5 ).…”