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首页> 外文会议>International heat transfer conference;IHTC1998 >The onset of convection in an inclined porous layer heated from below
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The onset of convection in an inclined porous layer heated from below

机译：从下方加热的倾斜多孔层中的对流开始

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摘要

This paper presents a comprehensive account of the linear instability of Darcy-Boussinesq convection in a uniform, unstably stratified porous layer at arbitrary inclinations, #alpha#, from the horizontal. A full numerical solution of the linearised disturbance equations is presented which extends previous work ont his topic. The detailed graphical results are used to motivate various asymptotic analyses. The location of turning points in the neutral curves in the limit #alpha# --> 0 is obtained in the large wavenumber limit. A detailed asymptotic analysis is undertaken which shows that instability arises only when #alpha# <= 31.30 deg if the Rayleigh number is asymptotically large. However, the maximum inclination below which instability may be expected is 31.49 deg, and this corresponds to a critical Rayleigh number of 104.30.
机译：本文全面阐述了Darcy-Boussinesq对流在水平线任意倾斜＃α＃的均匀，不稳定分层多孔层中的线性不稳定性。提出了线性化扰动方程的完整数值解，扩展了以前的工作。详细的图形结果用于激发各种渐近分析。在大波数极限中获得极限＃alpha＃-> 0的中性曲线中转折点的位置。进行了详细的渐近分析，该分析表明，如果瑞利数渐近较大，则仅当＃alpha＃<= 31.30度时才会出现不稳定性。但是，最大倾斜度（低于该最大倾斜度可能会导致不稳定）为31.49度，这对应于临界瑞利数104.30。

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