### Abstract

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.

Original language | English |
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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 |

### Keywords

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

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## Cite this

Rees, D. A. S., & Storesletten, L. (2002). Convective plume paths from a line source.

*Quarterly Journal of Mechanics and Applied Mathematics*,*55*(3), 443-455. https://doi.org/10.1093/qjmam/55.3.443