Continuous arterio-venous hemodiafiltration (CAVHD) differs from conventional hemofiltration and dialysis by the interaction of convection and diffusion, the use of very low dialysate flow rates and by the deterioration of membrane conditions during the treatment. In order to study the impact of these phenomena on diffusive transport, we developed a mathematical model of the kinetics of CAVHD s...

Numerical investigation is carried out to predict the entropy generation for combined natural convection heat and mass transfer in a two dimensional porous cavity subjected to a magnetic field. The Darcy model is used in the mathematical formulation of the flow in porous media. The mathematical model is derived in dimensionless form. The governing parameters arise in the mathematical model are ...

A numerical study is performed to investigate the effect of height-to-width aspect ratio, Grashof number, and Schmidt number on the Double-diffusive convection of a fluid contained in a rectangular cavity with partially thermally active side walls. The active part of the left side wall is at a higher temperature and concentration than that of the right side wall. The length of the thermally act...

Three-dimensional double-diffusive Marangoni convection in a cubic cavity is studied in the present paper. Both the temperature and solute concentration gradients are applied horizontally. Direct numerical simulations are carried out for surface-tension Reynolds number 10≤Re≤500, surface-tension ratio -2≤R(σ)≤1, and Lewis number 1<Le≤200. Symmetry-breaking pitchfork bifurcation is observed, whi...

We investigate the linear stability of a double-diffusively stratified, inflectional shear flow. Double-diffusive stratification has little effect on shear instability except when the density ratio Rρ is close to unity. Double-diffusive instabilities have significant growth rates and can represent the fastest growing mode even in the presence of inflectionally unstable shear with low Richardson...

Interfacial mass transfer of low-diffusive substances in an unsteady flow environment is marked by a very thin boundary layer at the interface and other regions with steep concentration gradients. A numerical scheme capable of resolving accurately most details of this process is presented. In this scheme, the fifth-order accurate WENO method developed by Liu et al. [13] was implemented on a non...