Model of spontaneous evaporating droplet on solid horizontal substrate

[摘要] Free evaporation of sessile liquid non-isothermal drop on solid substrate is analyzed. Exact formulae for temperature and concentration fields are found out as functions of dimensionless parameters. The non-uniform temperature distribution at the drop surface creates the thermocapillar Marangonni forces that change their direction in the vicinity of stagnation points. Direction of the forces and disposition of the stagnation points are derived as function of contact angle and thermodynamic parameters of model. Conditions for the stagnation points to appear are found out. Moreover, maximal value of contact angle corresponding to presence of stagnation points in droplet is calculated as a function of the thermal conductivity ratio.

[发布机构] National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoeshosse, Moscow; 115409, Russia^1

[效力级别] 数学

[关键词] Concentration fields;Dimensionless parameters;Horizontal substrates;Maximal values;Solid substrates;Stagnation points;Thermal conductivity ratio;Thermodynamic parameter