### Abstract

Two three-dimensional models of a surface tension gradient driven flow during laser surface heating are developed. The first model is based on a perturbation solution. The basic solution corresponds to the stationary axisymmetric case, and perturbation is based on a small scanning velocity. The advantage of seeking a perturbation solution, as it turns out, is that the three-dimensional flow is modeled by two sets of two-dimensional equations which are presumably much more tractable than the original three-dimensional equations. Numerical solutions are obtained and discussed. The second model is a full three-dimensional numerical solution of the Navier-Stokes equations, using a point-by-point partially vectorized iteration scheme. Surface shape is also determined in a self-consistent manner. The effect of the presence of convection on pool geometry, cooling rate, and solute redistribution is presented and discussed.

Original language | English (US) |
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Title of host publication | Unknown Host Publication Title |

Editors | Sindo Kou, Robert Mehrabian |

Publisher | Metallurgical Soc of AIME |

Pages | 229-246 |

Number of pages | 18 |

ISBN (Print) | 0873390210 |

Publication status | Published - 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*(pp. 229-246). Metallurgical Soc of AIME.