Abstract
The branching off of steady-state regimes from mechanical equilibrium is studied for the problem of filtration convection in a parallelepiped. The conditions for the geometric parameters under which stable continuous families of steady-state regimes develop are found. The stability of equilibria of the family with respect to three-dimensional perturbations is analyzed in a numerical experiment using a finite-difference method.
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Original Russian Text © A.D. Nemtsev, V.G. Tsibulin, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 4, pp. 144–150.
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Nemtsev, A.D., Tsibulin, V.G. Numerical investigation of the first transition in the three-dimensional problem of convective flow in a porous medium. Fluid Dyn 42, 637–643 (2007). https://doi.org/10.1134/S0015462807040138
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DOI: https://doi.org/10.1134/S0015462807040138