Thermocapillary convection due to non-uniform surface heating is the dominant form of fluid motion in many materials processing operations. The velocity and temperature distributions for the region adjacent to the area of peak surface heating is analyzed for the limiting cases of large and small Prandtl numbers. For a melt pool whose depth and width are large relative to the thermal and viscous boundary layers, it is shown that the most important parameter is the curvature (i. e. DEL **2q) of the surface heat flux distribution. The solutions are presented in the form of universal functions, some of which are in closed form.
|Original language||English (US)|
|Journal||American Society of Mechanical Engineers (Paper)|
|State||Published - 1985|
ASJC Scopus subject areas
- Mechanical Engineering