## Abstract

Basic results of convection theory are presented for the case where the liquid in a gravity field is heated strictly from below. These results are then used for investigating the steady convection in the case of a nearly vertical temperature gradient, and the stability of solutions obtained is investigated. It is shown that near a certain critical Rayleigh number R//0 the liquid's motion is stable, although an abnormal behavior occurs near R//0. Besides this basic solution branch, two other branches (bifurcation) appear to the right of R//0, one of which is unstable and the other is metastable. Results obtained for an arbitrary closed cavity are illustrated by the results of a numerical experiment carried out in a horizontal circular cylinder (plane problem).

Translated title of the contribution | Convection Near Critical Rayleigh Numbers Under Conditions of Nearly Vertical Temperature Gradient. |
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Original language | Russian |

Pages (from-to) | 64-70 |

Number of pages | 7 |

Journal | Izvestiya Akademii Nauk. Mekhanika Zhidkosti I Gaza |

Issue number | 1 |

State | Published - 1 Jan 1973 |