Stability of convective flows in porous media Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/4j03d2403

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  • The stability of fluids in porous media subject to various physical and geometrical conditions is studied here. Criteria for the onset of convective motions are given in terms of critical temperature gradients or heat sources. The general method used involves the linearization of the field equations about the hydrostatic solutions and the reduction of the linear equations to an appropriate linear eigenvalue problem for certain Positive operators. Variational methods are then used to approximate the minimum eigenvalues which yield the stability criteria.
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