In nature, unsaturated porous media, like soils or plant tissues, are often submitted to temperature gradients which can trigger water transport. A nanofluidic tool is employed here measure the changes in potential response variations a model geometry. Variations of -7.9 MPa/K observed agreement with previous measurements but differ from simple modeling, pointing at subtle couplings between nat...

The focus of this treatise is on the scrutiny MHD heat and mass transfer motion upper convection Maxwell (UCM) fluid in a thermally radiated flat plate. models flow equations were considered when there temperature difference: Cattaneo-Christov model Soret-Dufour mechanisms. A magnetic field firmness was inflicted opposition to flow. inspection controlled by partial differential (PDEs). Suitable...

We investigate theoretically the bifurcation scenario for colloidal suspensions subject to a vertical temperature gradient taking into account the effect of sedimentation. In contrast to molecular binary mixtures, here the thermal relaxation time is much shorter than that for concentration fluctuations. This allows for differently prepared ground states, where a concentration profile due to sed...

The diffusive motion of foreign particles dispersed in a premelting solid is analyzed within the framework of irreversible thermodynamics. We determine the mass diffusion coefficient, thermal diffusion coefficient and Soret coefficient of the particles in the dilute limit, and find good agreement with experimental data. In contrast to liquid suspensions, the unique nature of premelting solids a...

The ferrofluid dynamics theory is applied to thermodiffusive problems in magnetic fluids in the presence of magnetic fields. The analytical form for the magnetic part of the chemical potential and the most general expression of the mass flux are given. By applying these results to experiments, global Soret coefficients in agreement with measurements are determined. An estimate for a hitherto un...

The effects of double diffusive natural convection heat and mass transfer along a vertical plate embedded in a power-law fluid saturated Darcy porous medium in the presence of Soret and Dufour effects are studied. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations and then solved numerically. A parametric study of t...

The 3D Carreau fluid flow through a porous and stretching (shrinking) sheet is examined analytically by taking into account the effects of mass transfer, thermal radiation, Hall current. model equations, which consist coupled partial differential equations (PDEs), are simplified to ordinary (ODEs) appropriate similarity relations. analytical procedure HAM (homotopy analysis method) employed sol...