Absolute instability: A toy model and an application to the Rayleigh-Bénard problem with horizontal flow in porous media
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- 作者：Antonio Barlettaa ; antonio.barletta@unibo.it" class="auth_mail" title="E-mail the corresponding author ; Leonardo S. de B. Alvesb ; leonardo.alves@mec.uff.br" class="auth_mail" title="E-mail the corresponding author
- 关键词：Porous medium ; Darcy&rsquo ; s law ; Convection ; Rayleigh&ndash ; Bé ; nard problem ; Absolute instability ; Steepest descent approximation
- 刊名：International Journal of Heat and Mass Transfer
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：104
- 期：Complete
- 页码：438-455
- 全文大小：1704 K
文摘
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Absolute instability is surveyed through a toy model based on Burgers’ equation.
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The onset of absolute instability is studied via the steepest-descent method.
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The thermal instability of steady flow in a horizontal porous layer is studied.
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The transition from convective to absolute instability is analysed.
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The effects of Péclet number and of Darcy–Prandtl number are discussed.