### 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 language | English (US) |
---|---|

Title of host publication | American Society of Mechanical Engineers (Paper) |

Publisher | ASME |

State | Published - 1985 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*American Society of Mechanical Engineers (Paper).*ASME.

}

TY - GEN

T1 - THERMOCAPILLARY CONVECTION IN THE CENTRAL REGION OF A DEEP MELT POOL DUE TO INTENSE, NON-UNIFORM SURFACE HEATING.

AU - Chan, Cholik

AU - Chen, M. M.

AU - Mazumder, J.

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0021886984&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021886984&partnerID=8YFLogxK

M3 - Conference contribution

BT - American Society of Mechanical Engineers (Paper)

PB - ASME

ER -