Sentence examples for involving the diffusion from inspiring English sources

Finally, the solution is computed for a test case from the literature involving the diffusion of three species and compared to solutions from other methods.

A model involving the diffusion controlled growth of a basal layer followed by the nucleation and growth of a secondary layer is proposed.

Error analysis and grid refinement studies are performed for test problems involving the diffusion and convection diffusion equations, and for stable solidification problems.

The heterogeneous reaction between TG and keratin fibers involving the diffusion of TG into human hair was analyzed at the molecular level using microspectrophotometry and FT-Raman spectroscopy.

Especially, the anomalous behaviors involving the diffusion problem, heat transfer, creep phenomena, fluid flow process, oscillating circuits and the convection dispersion have been the research hot spots (see [13 18]).

Roughly speaking, we suppose that some "triggering event" has taken place or contentious issue is emerging, and we wish to determine, as early as possible, whether this event or issue will ultimately generate a large, self-sustaining reaction, involving the diffusion of discussions and actions through a substantial segment of a population, or will instead quickly dissipate.

The third stage involves the diffusion of sorbate particles to adsorption sites.

The biofilm involved both the diffusion and bacterial oxidation of sucrose, while the PTFE layer only involved the diffusion of oxygen.

The first step involves the diffusion of the sorbate from the aqueous phase to the adsorbent surface.

Since system (1.1) involves the diffusion terms, the rates of replacement and the interspecific interference, the methods used in [5 8] are not available to system (1.1).

The absorption process involves the diffusion of water molecules into the free spaces of the materials which increase the segmental mobility and consequently result in an expansion of chain segment between crosslink and later result in swelling.