### Abstract

For analyzing dendritic solidification, convection in the mushy zone is based on a momentum equation for a porous medium with a spatially varying fraction of liquid. Results are compared with those obtained with a less complete momentum equation. Calculations are done for directional solidification, with isotherms and isoconcentrates that move with a constant velocity. Thermosolutal convection as a function of time is studied by perturbing the solutal field. The total kinetic energy, the nature of the convection cells, and the isoconcentrates are significantly different for the two models. Hence the complete form of the momentum equation should be used.

Original language | English (US) |
---|---|

Pages (from-to) | 297-311 |

Number of pages | 15 |

Journal | Numerical Heat Transfer; Part A: Applications |

Volume | 19 |

Issue number | 3 |

State | Published - Apr 1991 |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry
- Computational Mechanics
- Mechanics of Materials
- Safety, Risk, Reliability and Quality

### Cite this

*Numerical Heat Transfer; Part A: Applications*,

*19*(3), 297-311.

**Momentum equation for dendritic solidification.** / Nandapurkar, P. J.; Poirier, David R; Heinrich, J. C.

Research output: Contribution to journal › Article

*Numerical Heat Transfer; Part A: Applications*, vol. 19, no. 3, pp. 297-311.

}

TY - JOUR

T1 - Momentum equation for dendritic solidification

AU - Nandapurkar, P. J.

AU - Poirier, David R

AU - Heinrich, J. C.

PY - 1991/4

Y1 - 1991/4

N2 - For analyzing dendritic solidification, convection in the mushy zone is based on a momentum equation for a porous medium with a spatially varying fraction of liquid. Results are compared with those obtained with a less complete momentum equation. Calculations are done for directional solidification, with isotherms and isoconcentrates that move with a constant velocity. Thermosolutal convection as a function of time is studied by perturbing the solutal field. The total kinetic energy, the nature of the convection cells, and the isoconcentrates are significantly different for the two models. Hence the complete form of the momentum equation should be used.

AB - For analyzing dendritic solidification, convection in the mushy zone is based on a momentum equation for a porous medium with a spatially varying fraction of liquid. Results are compared with those obtained with a less complete momentum equation. Calculations are done for directional solidification, with isotherms and isoconcentrates that move with a constant velocity. Thermosolutal convection as a function of time is studied by perturbing the solutal field. The total kinetic energy, the nature of the convection cells, and the isoconcentrates are significantly different for the two models. Hence the complete form of the momentum equation should be used.

UR - http://www.scopus.com/inward/record.url?scp=0026136731&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026136731&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0026136731

VL - 19

SP - 297

EP - 311

JO - Numerical Heat Transfer; Part A: Applications

JF - Numerical Heat Transfer; Part A: Applications

SN - 1040-7782

IS - 3

ER -