| Summary: | 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, <inline-formula> <math display="inline"> <semantics> <mi>ξ</mi> </semantics> </math> </inline-formula>, and the inclination angle. When <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ξ</mi> <mo><</mo> <mn>1</mn> </mrow> </semantics> </math> </inline-formula> the preferred motion is in the form of longitudinal rolls for all inclinations. When <inline-formula> <math display="inline"> <semantics> <mrow> <mi>ξ</mi> <mo>></mo> <mn>1</mn> </mrow> </semantics> </math> </inline-formula> 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.
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