Buoyant flow instability induced by a uniform internal heat source in a vertical annular porous layer

被引：6

作者：

Barletta, A. ^{[1
]}

Rees, D. A. S. ^{[2
]}

Pulvirenti, B. ^{[1
]}

机构：

[1] Alma Mater Studiorum Univ Bologna, Dept Ind Engn, Viale Risorgimento 2, I-40136 Bologna, Italy

[2] Univ Bath, Dept Mech Engn, Bath BA2 7AY, Avon, England

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2022年 / 194卷

关键词：

Porous medium; Linear stability; Natural convection; Normal modes; Internal heating; Cylindrical layer; Vertical buoyant flow; NATURAL-CONVECTION; STABILITY; SLAB;

D O I：

10.1016/j.ijheatmasstransfer.2022.122935

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The buoyancy-induced parallel flow in a vertical cylindrical porous layer with annular cross-section is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce the buoyant flow. The layer boundaries are modelled as isothermal and permeable to an external fluid reservoir. The onset of the convective instability is analysed by linearising the governing equations for the perturbations. The governing parameters driving the instability are the heat-source Rayleigh number and the ratio between the internal radius and the external radius. Neutral stability curves and the critical values of the Rayleigh number, the perturbation wave number and the angular frequency are computed numerically. It is shown that axisymmetric modes form the most dangerous type of instability. Crown Copyright (C) 2022 Published by Elsevier Ltd. All rights reserved.

引用

页数：9

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