ASYMPTOTIC SOLUTION FOR THERMOCAPILLARY FLOW AT HIGH AND LOW PRANDTL NUMBERS DUE TO CONCENTRATED SURFACE HEATING.

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

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Thermocapillary convection due to nonuniform 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 are 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. , INV TR S **2q) of the surface heat flux distribution. The solutions of the temperature and stream functions are presented, some of which are in closed form. Simple, explicit expressions for the velocity and maximum temperature are presented. These results are found to be quite accurate for realistic Prandtl number ranges, in comparison with exact solutions for finite Prandtl numbers.

Original languageEnglish (US)
Pages (from-to)140-146
Number of pages7
JournalJournal of Heat Transfer
Volume110
Issue number1
StatePublished - Feb 1988

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Prandtl number
Heating
heating
Velocity distribution
Heat flux
heat flux
boundary layers
Boundary layers
Temperature distribution
temperature distribution
convection
velocity distribution
curvature
Temperature
Fluids
temperature
fluids
Processing

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Physical and Theoretical Chemistry
  • Mechanical Engineering

Cite this

ASYMPTOTIC SOLUTION FOR THERMOCAPILLARY FLOW AT HIGH AND LOW PRANDTL NUMBERS DUE TO CONCENTRATED SURFACE HEATING. / Chan, Cholik; Chen, M. M.; Mazumder, J.

In: Journal of Heat Transfer, Vol. 110, No. 1, 02.1988, p. 140-146.

Research output: Contribution to journalArticle

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