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Three-Dimensional Convective Planforms for Inclined Darcy-Bénard Convection
We investigate the onset of convection in an inclined Darcy-B\'enard layer. When such a layer is unbounded in the spanwise direction it is generally known that longitudinal rolls comprise the most unstable planform. On the other hand, when a layer has a sufficiently small spanwise width, then transverse rolls form the most unstable planform. However, the layer remains stable to transverse roll disturbances when the inclination is above roughly 31 degrees from the horizontal. This paperdoi:10.3390/fluids5020083 fatcat:kp7ktiffmjfahoeuqna6uibq6u