### Abstract

Linear-stability theory has been applied to a basic state of thermocapillary convection in a model half-zone to determine values of the Marangoni number above which instability is guaranteed. The basic state must be determined numerically since the half-zone is of finite, O(1) aspect ratio with two-dimensional flow and temperature fields. This, in turn, means that the governing equations for disturbance quantities are nonseparable partial differential equations. The disturbance equations are treated by a staggered-grid discretization scheme. Results are presented for a variety of parameters of interest in the problem, including both terrestrial and microgravity cases; they complement recent calculations of the corresponding energy-stability limits.

Original language | English (US) |
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Pages (from-to) | 108-114 |

Number of pages | 7 |

Journal | Physics of Fluids A |

Volume | 5 |

Issue number | 1 |

State | Published - Dec 1 1992 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Physics of Fluids A*,

*5*(1), 108-114.