THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING.

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

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

Abstract

A generalized theory for thermocapillary flow and heat transfer in the stagnation region of a deep liquid layer under intense, non-uniform surface heating is developed for both plane two-dimensional and axisymmetric geometries. The theory approximates the surface heat flux distribution near the center by a parabola, and invokes the boundary layer approximation for the energy equation, but not for the momentum equation. The governing partial differential equations are transferred to a set of decoupled ordinary differential equations. Analytical solutions are found for some conditions. For other conditions numerical results are presented. The nature of the flow and heat transfer characteristics are presented and discussed. The results provide the basic scaling laws for thermocapillary convection in the deep fluid layer due to concentrated heating.

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

Fingerprint

Heat transfer
Heating
Scaling laws
Ordinary differential equations
Partial differential equations
Heat flux
Momentum
Boundary layers
Fluids
Geometry
Liquids
Convection

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Chan, C., Chen, M. M., & Mazumder, J. (1985). THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING. In American Society of Mechanical Engineers (Paper) ASME.

THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, 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

Chan, C, Chen, MM & Mazumder, J 1985, THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING. in American Society of Mechanical Engineers (Paper). ASME.
Chan C, Chen MM, Mazumder J. THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING. In American Society of Mechanical Engineers (Paper). ASME. 1985
Chan, Cholik ; Chen, M. M. ; Mazumder, J. / THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING. American Society of Mechanical Engineers (Paper). ASME, 1985.
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