Abstract
This work is concerned with thermal dispersion through a rotating fissured porous medium. In particular, linear and nonlinear analyses are made to investigate centrifugation driven thermal convection in a bidisperse porous medium. The presence of micro-pores in addition to the usual ones in a porous medium is considered, which allows the possibility of momentum exchange between the two families of pores. The linear analysis is performed through the normal modes, whereas the nonlinear one is based on a suitably defined generalized energy functional. Sharp and unconditional nonlinear L2 stability limits are obtained through the variational principles. Compound matrix method based numerical solutions of the resulting eigenvalue problems are obtained, and the usefulness of nonlinear results is established in most parts of the parameter space. It is found that an increase in momentum exchange delays convection, however, depending on the ratio of permeabilities in the two families of pores.
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