Double-diffusion models from a highly-heterogeneous medium*1

Double-diffusion Models from a Highly-heterogeneous Medium

A distributed microstructure model is obtained by homogenization from an exact micro-model with continuous temperature and flux for heat diffusion through a periodically distributed highly-heterogeneous medium. This composite medium consists of two flow regions separated by a third region which forms the doubly-porous matrix structure. The homogenized system recognizes the multiple scale proces...

Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model

Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model. In this paper, we formulate an adaptive two-grid numerical finite element discretization of the double-diffusion system and perform a comparison between the microand macro-model. Our numerical results show that the micro...

Experimental Analysis of a Vertical, Double-Effect Diffusion Solar Still

Differentiation of M. scrofulaceum from Related Mycobacterial Species by Double-Diffusion Technique

Isolation and differentiation of various species of mycobacteria are predominantly based on conventional, cultural and biochemical tests. Among the non-tuberculous mycobacteria, these tests are unable to differentiate M. scrofulaceum from M. avium-intracellulare (MAI) because of their identical biochemical characteristics. For this reason, one hundred mycobacterial strains suspected to be M. ...

Exponents appearing in heterogeneous reaction-diffusion models in one dimension.

We study the following 1D two-species reaction diffusion model : there is a small concentration of B-particles with diffusion constant DB in an homogenous background of W-particles with diffusion constant DW ; two Wparticles of the majority species either coagulate (W + W −→ W ) or annihilate (W +W −→ ∅) with the respective probabilities pc = (q − 2)/(q − 1) and pa = 1/(q − 1); a B-particle and...