Rayleigh-Bénard-Marangoni instability in a bilayer system of self-rewetting fluid overlying porous medium is investigated. The upper surface the layer assumed non-deformable and constant temperature gradient imposed. Unlike previous works, considered this paper, whose tension quadratic function temperature. As result, it would reinforce or suppress caused by buoyancy different scenarios. Thorou...

The plane strain deformation of an isotropic, homogeneous, poroelastic medium caused by an inclined line-load is studied using the Biot linearized theory for fluid saturated porous materials. The analytical expressions for the displacements and stresses in the medium are obtained by applying suitable boundary conditions. The solutions are obtained analytically for the limiting case of undrained...

The exact solution is given for the folding by compression of a viscoelastic layer embedded in a viscoelastic medium, under the assumption that there is perfect adherence between layer and medium. This solution agrees closely with the earlier result obtained by Biot which was based on the assumption that layer and medium could slip over each other. In a previous publication, Biot [l] has discus...

r. ewing, o. liev, r. lazarov and a. naumovich in [1] proposed a finite volume discretization for one dimensional biot poroelasticity system in multilayer domains. their discretization and exact solution are invalid. we derive valid discretization and exact solution. finally, our numerical solution is compared with known exact solution in discrete l2 norm.

M. A. BIOT* A non-linear analysisforfinite strain and stress has been developed and applied to symmetrical deformations around cylindrical and spherical cavities in rock. The material non-linearity which is involved may result porn either elastic or plastic properties. A drastic analytical simplification reduces the problem to the solution of a,first order differential equation. Fracture is ana...

The hypercircle theorem leads to a posteriori error estimates for the three-field variational formulation of Biot problem involving displacements, total pressure and fluid pressure. Based thereon, adaptive strategies can be constructed. In particular, estimator is derived on basis Hdiv-conforming reconstructions stress flux approximations while symmetry reconstructed allowed satisfied only weak...

The use of ultrasound is a new method to enhance convection drying. However, there little information in the literature on improvement convective heat transfer caused by ultrasound. Therefore, transport during ultrasound-assisted heating small samples hybrid dryer was experimentally examined. A Biot number regime considered. results confirmed great enhancement due application Due ultrasound, ex...