Non-linear reaction-diffusion processes with cross-diffusion in two-dimensional, anisotropic media are analyzed by means of an implicit, iterative, time-linearized approximate factorization technique as functions of the anisotropy of the heat and species diffusivity tensors, the Soret and Dufour cross-diffusion effects, and five types of boundary conditions. It is shown that anisotropy and cros...

This article investigates the influence of cross-diffusion on the viscous fluid flow over a porous sheet stretching exponentially by applying the convective thermal conditions. Velocity slip at the boundary is considered. The numerical solutions to the governing equations are evaluated using successive linearisation procedure and Chebyshev collocation method. It is observed from this study that...

Abstract Using mathematical modeling and computational analysis, this study aims to examine the peristaltic blood flow of a non-Newtonian material in tapered channel with radiative heat flux response mechanisms. By utilizing long-wavelength approximation, ignoring wave number, performing under conditions low Reynolds closed form solutions for velocity, temperature, concentration fields are achi...

The present study considers the numerical examination of an unsteady thermo-solutal mixed convection when the extra mass and heat diffusions, called as Soret and Dufour effects, were not neglected. The numerical simulations were performed in a lid-driven cavity, where the horizontal walls were kept in constant temperatures and concentrations. The vertical walls were well insulated. A finite vol...

In the present analysis, the Dufour and Soret effects on unsteady heat-mass transfer of a viscous incompressible Powell-Eyring fluids flow past an expanding/shrinking permeable sheet are reported. The fluid boundary layer develops over the variable sheet with suction/injection to the non-uniform free stream velocity. Under the symmetry group of transformations, the governing equations along wit...

Abstract Here the assessment of entropy generation with Soret and Dufour impact in flow MHD Prandtl fluid along an unsteady stretching surface has been measured. Nonlinear mixed convection convective conditions for heat/mass transfer are imposed at surface. The outcome viscous dissipation radiation is considered heat features. obtained system nonlinear PDEs converted to ODEs by consuming dimens...

The aim here is to investigate the effects of convective heat and mass transfer in the flow of Eyring-Powell fluid past an inclined exponential stretching surface. Mathematical formulation and analysis have been performed in the presence of Soret, Dufour and thermal radiation effects. The governing partial differential equations corresponding to the momentum, energy and concentration are reduce...

Convection in a colloidal suspension with a large negative separation ratio psi is studied experimentally by heating from above. Shadowgraph observations at very large solutal Rayleigh numbers Rtilde; are reported as a function of time. Fast relaxation oscillations are reported for the root mean square value of the shadowgraph intensity. While pure fluids exhibit a transition to turbulent conve...

The electric field in an extended phase of a liquid electrolyte exposed to a temperature gradient is attributed to different thermophoretic mobilities of the ion species. As shown herein, such Soret-type ion thermodiffusion is not required to induce thermoelectricity even in the simplest electrolyte if it is confined between charged walls. The space charge of the electric double layer leads to ...

The Rayleigh–Bénard system [1, 2] is one of the most popular model systems to study spontaneous structure formation emerging via instabilities. The system consists of a fluid layer confined between two parallel plates perpendicular to the direction of gravity, and exposed to a vertical temperature gradient that is established by keeping the upper and lower plate at two different temperatures T0...