Journal
PHYSICS OF FLUIDS
Volume 34, Issue 9, Pages -Publisher
AIP Publishing
DOI: 10.1063/5.0104575
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This study focuses on thermal buoyancy convection in an inclined porous layer saturated with fluid. The research shows that three-dimensional perturbations are more dangerous than two-dimensional ones, with the angle of inclination of the layer playing a significant role in the disturbances.
In this paper, we study the onset and non-linear regimes of thermal buoyancy convection in an inclined porous layer saturated with fluid. The layer is subject to a gravitational field and a strictly vertical temperature gradient. This problem is important for geological applications. The linear stability of the heat-conducting regime to two-dimensional perturbations was previously studied by Kolesnikov and Lyubimov [J. Appl. Mech. Tech. Phys. 14, 400-404 (1973)]. In the first part of our work, we numerically, using the finite difference method, investigate two-dimensional nonlinear convection regimes that arise after the loss of stability of the heat-conducting regime. In the second part of the paper, the linear stability of the heat-conducting regime to three-dimensional perturbations is investigated. It has been found that for any layer inclination angle, three-dimensional perturbations are more dangerous than two-dimensional ones, and the most dangerous perturbations have the form of longitudinal rolls. For the layer inclination angle alpha < 45 & DEG;, the wavenumber of critical perturbations is equal to zero, and for alpha > 45 & DEG;, it differs from zero. Numerical calculations by the finite volume method within the framework of the full three-dimensional nonlinear approach confirm the conclusions of the linear stability analysis.
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