### Abstract

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

Pages (from-to) | 81-87 |

Journal | Journal of fluid mechanics |

Volume | 70 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1975 |

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*Journal of fluid mechanics*,

*70*(1), 81-87. https://doi.org/10.1017/S0022112075001905

}

*Journal of fluid mechanics*, vol. 70, no. 1, pp. 81-87. https://doi.org/10.1017/S0022112075001905

**An asymptotic solution for slightly buoyant laminar plumes.** / Wesseling, P.

Research output: Contribution to journal › Article › Academic

TY - JOUR

T1 - An asymptotic solution for slightly buoyant laminar plumes

AU - Wesseling, P.

PY - 1975

Y1 - 1975

N2 - When the buoyancy forces are small compared with the inertia forces, heated plumes in laminar flows which are uniform at upstream infinity approximately satisfy a linearized version of the Boussinesq equations, here called the Oseen–Boussinesq equations. An analytic solution is constructed for arbitrary Prandtl number and arbitrary direction of the unperturbed flow in the case of a plume produced by a point source. The two-dimensional case of the plume from a line source is considered briefly. A Stokes-type paradox occurs: it is found that a line-source solution that vanishes at infinity does not exist.

AB - When the buoyancy forces are small compared with the inertia forces, heated plumes in laminar flows which are uniform at upstream infinity approximately satisfy a linearized version of the Boussinesq equations, here called the Oseen–Boussinesq equations. An analytic solution is constructed for arbitrary Prandtl number and arbitrary direction of the unperturbed flow in the case of a plume produced by a point source. The two-dimensional case of the plume from a line source is considered briefly. A Stokes-type paradox occurs: it is found that a line-source solution that vanishes at infinity does not exist.

U2 - 10.1017/S0022112075001905

DO - 10.1017/S0022112075001905

M3 - Article

VL - 70

SP - 81

EP - 87

JO - Journal of fluid mechanics

JF - Journal of fluid mechanics

SN - 0022-1120

IS - 1

ER -