### Abstract

Original language | English |
---|---|

Pages (from-to) | 443-455 |

Number of pages | 13 |

Journal | Quarterly Journal of Mechanics and Applied Mathematics |

Volume | 55 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2002 |

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### Keywords

- Surface properties
- Thermal plumes
- Heat convection
- Thermal diffusion
- Boundary layer flow
- Prandtl number
- Approximation theory

### Cite this

*Quarterly Journal of Mechanics and Applied Mathematics*,

*55*(3), 443-455. https://doi.org/10.1093/qjmam/55.3.443

**Convective plume paths from a line source.** / Rees, D A S; Storesletten, L.

Research output: Contribution to journal › Article

*Quarterly Journal of Mechanics and Applied Mathematics*, vol. 55, no. 3, pp. 443-455. https://doi.org/10.1093/qjmam/55.3.443

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TY - JOUR

T1 - Convective plume paths from a line source

AU - Rees, D A S

AU - Storesletten, L

PY - 2002

Y1 - 2002

N2 - We consider the flow induced by a line source placed at the intersection of two semi-infinite plane surfaces, and our main aim is to determine the influence of these bounding surfaces on the direction the plume takes. To this end a two-term boundary layer theory is presented from which it is deduced that the plume is, in general, orientated away from the vertical. A careful analysis of the boundary-layer solutions is undertaken to provide, subject to the determination of a constant for each Prandtl number, an analytical expression for the plume angle in terms of the orientations of the bounding surfaces. It is found that the plume is affected very strongly by the presence of the surfaces.

AB - We consider the flow induced by a line source placed at the intersection of two semi-infinite plane surfaces, and our main aim is to determine the influence of these bounding surfaces on the direction the plume takes. To this end a two-term boundary layer theory is presented from which it is deduced that the plume is, in general, orientated away from the vertical. A careful analysis of the boundary-layer solutions is undertaken to provide, subject to the determination of a constant for each Prandtl number, an analytical expression for the plume angle in terms of the orientations of the bounding surfaces. It is found that the plume is affected very strongly by the presence of the surfaces.

KW - Surface properties

KW - Thermal plumes

KW - Heat convection

KW - Thermal diffusion

KW - Boundary layer flow

KW - Prandtl number

KW - Approximation theory

U2 - 10.1093/qjmam/55.3.443

DO - 10.1093/qjmam/55.3.443

M3 - Article

VL - 55

SP - 443

EP - 455

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

SN - 0033-5614

IS - 3

ER -