Convective energy transport in a vertical porous channel: Effects of triple diffusion and Newtonian heating/cooling

Abstract

The effect of triple diffusion on convection of viscous liquid in a vertical channel saturated with permeable material is explored subject to Robin conditions on the boundaries. Inside the duct, the salts of distinct compositions are diffused. Non‐Darcy approach is used to describe the porous material influence on transport processes. Symmetric and asymmetric heating conditions are considered for the ambient temperatures close to the vertical channel borders. Heat is exchanged between the vertical plates and the external fluid. Initially, the solutions are found without an influence of viscous dissipation and buoyancy forces. Inclusion of these two effects leads to nonlinear equations and adopting Brinkman parameter as the perturbation characteristic for the solutions is procured. Owing to the limitation on the perturbation characteristic, the conservation relations are solved numerically using the Runge–Kutta procedure combined with shooting technique. The flow patterns are depicted for the properties of the heat and mass Grashof numbers, porous parameter, inertial parameter, Brinkman number, Biot numbers, and chemical reaction characteristics. The effects of these parameters are explored on the skin frictions and Nusselt numbers. In the case of dissipations caused by viscosity and Forchheimer drag term, the perturbation results and numerical solutions are equal for low magnitudes of perturbation characteristic.

Heat transfer of couple stress fluid from a vertical funnel: Impedance boundary conditions

“…Actually, heat transfer may be greatly enhanced over the section containing a strong reverse flow. Umavathi et al [8][9][10][11] studied mixed convection of one and two fluid flows in a vertical channel. Recently Animasaun et al 12 wrote a monograph on the ratio of momentum diffusivity to thermal diffusivity.…”

Editorial of the special issue on modelling, analysis, and applications

“…A fractional mechanical system composed of two‐spring coupled masses [21], without damping, is analyzed in another paper. The effect of triple diffusion on convection of viscous liquid in a vertical channel, saturated with permeable material, subject to Robin conditions on the boundaries, is the topic of another research [22]. A study describes the evolution level of the rail transit network and the growth rate difference between transfer nodes and ordinary nodes [23].…”