In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

In the past few decades, there has been a growing interest for buoyant-thermocapillary flows
both on fundamental and applied aspects. First, there is the need for understanding and …

In order to understand the nature of surface patterns on silicon melt in industrial Czochralski
furnaces, we conducted a series of unsteady three-dimensional numerical simulations of …

In order to understand the characteristics of thermocapillary–buoyancy flow, we conducted a
series of unsteady three-dimensional numerical simulations of thermocapillary–buoyancy …

A linear stability analysis of the buoyant-thermocapillary flow in open rectangular cavities
with aspect ratios in the range Γ= 1.2 to 8 is carried out for Prandtl number Pr= 10 and …

We report experimental results for hydrothermal waves instability in thermocapillary-driven
flow in an extended cylindrical geometry. The waves are shown to appear via a supercritical …

A series of unsteady three-dimensional numerical simulations were conducted for
thermocapillary flow of 0.65 cSt silicone oil (Prandtl number Pr= 6.7) in annular pools with …

Thermocapillary convection of nanofluid with evaporating phase change interface occurs in
a variety of industrial processes such as micro/nano fabrication, ink-jet printing, thin film …

The characteristics of thermocapillary flow and hydrothermal waves (HTWs) in a shallow
pool (ri= 20mm, ro= 40mm and depth d= 1.0 mm) of silicone oil (0.65 cSt, Pr= 6.7), heated …

The influence of pool rotation on the thermocapillary flow in a shallow annular pool (Ri=
20mm, R0= 40mm, and depth d= 1mm) of silicone oil (0.65 cSt, Pr= 6.7), heated from the …