### 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) |
---|---|

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 |

State | 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.

**THREE-DIMENSIONAL MODEL FOR CONVECTION IN LASER WELD POOL.** / Chan, Cholik; Zehr, R.; Mazumder, J.; Chen, M. M.

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

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

}

TY - GEN

T1 - THREE-DIMENSIONAL MODEL FOR CONVECTION IN LASER WELD POOL.

AU - Chan, Cholik

AU - Zehr, R.

AU - Mazumder, J.

AU - Chen, M. M.

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0022943477&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022943477&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0022943477

SN - 0873390210

SP - 229

EP - 246

BT - Unknown Host Publication Title

A2 - Kou, Sindo

A2 - Mehrabian, Robert

PB - Metallurgical Soc of AIME

ER -