HIGH AND LOW PRANDTL NUMBER LIMITS FOR STAGNATION THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO NON-UNIFORM SURFACE HEATING.

C. L. Chan, M. M. Chen, J. Mazumder

Research output: Contribution to journalConference article

Abstract

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 languageEnglish (US)
JournalAmerican Society of Mechanical Engineers (Paper)
StatePublished - Dec 1 1985
Externally publishedYes

ASJC Scopus subject areas

  • Mechanical Engineering

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