The paper presents an analytical solution for dispersion of a solute in the peristaltic motion of a micropolar fluid in the presence of both homogeneous and heterogeneous chemical reactions. The average effective dispersion coefficient has been found using Taylor’s limiting condition under long wavelength approximation. The effects of various relevant parameters on the average coefficient of di...

— We give a physical example of a system, depending on a parameter E, such that, for e = 0, it has an eigenvalue with infinité multiplicity, which, for e > 0, splits into the set of an eigenvalue with infinité multiplicity and infinitely many scattering frequencies with finite multiplicity. The system is made of a thermoelastic heterogeneous medium and e dénotes the thermal conductivity of a bo...

Fundamental equations are derived for the mechanics of a fluidfilled porous medium under initial stress. The theory takes into account elastic and viscoelastic properties, including the most general case of anisotropy. It includes the theory of stability, and of acoustic propagation under initial stress, and by thermodynamic analogy the dynamics of a thermoelastic continuum under initial stress...

Abstract The present research focuses on two-dimensional deformation in a functionally graded thermoelastic micro-elongated medium. It is supposed that the non-homogeneous properties (thermal and mechanical) of FGM are x-direction. normal mode technique used to acquire analytic expression for displacement components, stress, micro-elongation temperature. cause effect relationship non-homogeneit...

We solve a nonstationary problem of heat conduction for thermosensitive half space in contact with layer under the conditions complex exchange medium constant temperature. To construct solution, we use numerical-analytic approach characterized by application version method successive approximations, linearizing parameters, Laplace integral transformation, and its numerical inversion help Prudni...