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.

Cholik Chan, M. M. Chen, J. Mazumder

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationAmerican Society of Mechanical Engineers (Paper)
PublisherASME
StatePublished - 1985
Externally publishedYes

Fingerprint

Prandtl number
Heating
Velocity distribution
Heat flux
Boundary layers
Temperature distribution
Fluids
Processing
Convection

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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. / Chan, Cholik; Chen, M. M.; Mazumder, J.

American Society of Mechanical Engineers (Paper). ASME, 1985.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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