Numerical analysis on thermocapillary and evaporating flows
Abstract
A two-dimensional mathematical model has been proposed to analyze thermocapillary and evaporating flows with a curvilinear vapor-liquid boundary. In this model, the concept of evaporation resistance is applied, by which the explicit boundary conditions for the vorticity-stream function formula can be obtained. A numerical scheme using a general coordinate and grid generation method has been developed. This method is successful in solving the flow problems in which thermocapillary force acts on the curvilinear meniscus. The effects of Marangoni number, evaporation resistance and Bond number on temperature and velocity distributions have been investigated. The average Nusselt number on the meniscus has been numerically predicted.
- Publication:
-
Space Utilization and Applications in the Pacific
- Pub Date:
- 1990
- Bibcode:
- 1990suap.proc..441C
- Keywords:
-
- Capillary Flow;
- Computational Fluid Dynamics;
- Evaporation;
- Interfacial Tension;
- Menisci;
- Temperature Effects;
- Boundary Conditions;
- Grid Generation (Mathematics);
- Liquid-Vapor Interfaces;
- Temperature Distribution;
- Two Dimensional Models;
- Velocity Distribution;
- Vorticity Equations;
- Fluid Mechanics and Heat Transfer