Absolute and convective instabilities of the natural convection in a vertical heated slot

Jianjun Tao and Fenggan Zhuang
Phys. Rev. E 62, 7957 – Published 1 December 2000
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Abstract

The spatiotemporal instability of a natural convection flow in vertical heated slot is studied theoretically. The two unstable modes, secondary cell and traveling wave, are illustrated to be absolute and convective instabilities, respectively. Using a model to simulate the temperature gradient in the center of the slot, we propose an interpretation of the mechanism controlling the reverse transition of flow patterns, and explain the temperature fluctuation observed after the reverse transition in terms of the traveling wave mode.

  • Received 29 February 2000

DOI:https://doi.org/10.1103/PhysRevE.62.7957

©2000 American Physical Society

Authors & Affiliations

Jianjun Tao

  • Levich Institute, City College, CUNY, New York, New York 10031

Fenggan Zhuang

  • The Research Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, People’s Republic of China

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Vol. 62, Iss. 6 — December 2000

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