Abstract
The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat generation on the linear instability of the basic parallel flow. When the Rayleigh number is sufficiently large, instability occurs and a convective motion is set up. It turns out that the preferred motion at convection onset depends quite strongly on the anisotropy ratio, ?, and the inclination angle. When ? < 1 the preferred motion is in the form of longitudinal rolls for all inclinations. When ? > 1 transverse rolls are preferred for small inclinations but, at high inclinations, longitudinal rolls are preferred. At intermediate inclinations the preferred roll orientation varies smoothly between these two extremes.
Original language | English |
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Article number | 75 |
Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Fluids |
Volume | 4 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jun 2019 |
Keywords
- Anisotropy
- Convection
- Heat generation
- Inclination
- Onset
- Porous media
ASJC Scopus subject areas
- Mechanical Engineering
- Fluid Flow and Transfer Processes
- Condensed Matter Physics