Without considerations of diffusions, phase transitions, lattice defects, slips, or other non-homogeneities, it is quite suitable for the space-filling materials.
At unsymmetrical detectors, the mass transfer study has been carried out in consideration of radial diffusion.
Consideration of thermal diffusion effects in the model was necessary for realistic predictions in all the cases.
On the other hand, consideration of molecular diffusion in the species transport equation significantly improves the model accuracy only if proper Schmidt number for species are considered.
In consideration of solute diffusion and ultrafiltration processes, a general set of upscaled solute concentration transport equations has been derived for the three phases in a hollow fiber dialyzer, namely, the blood, membrane and dialysate phases.
Based on the Scheil equation, mathematical models of the solid fraction versus temperature for the off-eutectic alloy during melting process are presented for the cases with and without consideration of solid diffusion.
A summary is presented of the main work in the transient diffusion of (mainly) passive scalars in tubes and channels with the viewpoint of seeking to apply methods of analysis in these areas to the consideration of the diffusion of particles in turbulent flow in a parallel plate electrostatic precipitator.
An a priori analysis of the flamelet model for diffusion flames is conducted to systematically assess model assumptions that are associated with the asymptotic expansion, the omission of higher-order expansion terms, the consideration of preferential diffusion effects, and the one-dimensional flamelet representation.
The study evaluated the recovery of gas condensate in tight formations with permeability ranging from 1 to 0.0001 mD, and the consideration of different diffusion coefficients.
The use of a Gaussian is motivated by the "3-D shape" of spots (Fig. 8) and by general considerations on diffusion processes in the gel.
