A modified formulation taking into account the thermal conductivity, viscosity versus nanofluids type and concentration and the spatial heterogeneous concentration induced by the Soret effect is presented.
In addition, EDS points show the presence of phosphorus (P) in the SiO2 layer, with a heterogeneous concentration distribution varying between 0 and 4 at.%.
Mapping basal [Ca2+] in neurons and astrocytes with submicron resolution unveils heterogeneous concentration landscapes that depend on age and preceding activity.
The simulation of the fluid-dynamic regime computed in terms of mixture fraction of the reactants at the macro-scale, revealed that 2 ml min−1 entails a heterogeneous concentration distribution in the volume of the mixing chamber [28].
Either situation imposes extremely difficult conditions for modeling the diffusional behavior of these two systems because of: (a) the conflicting symmetries between the spherical domains shapes vis-à-vis the pore or ring active interface which acts as a diffusional sink or a source and (b) the near-infinite and heterogeneous concentration gradients which develop at the active interface.
Furthermore, spatial variability of LGD is expected to have significant influence on the nutrient balance due to heterogeneous nutrient concentrations.
In this model, heterogeneous nutrient concentrations and directed cell migration towards nutrient attractors were determined to be necessary for cluster formation.
The temporally and spatially heterogeneous PM concentrations in this study are nonetheless associated with means, variances, and ranges comparable with those recorded by the U.S. EPA over the same time frame (U.S. EPA 2009c).
A discrete Monte Carlo ray-tracing model was developed in SolTrace to compute the solar radiation heterogeneous local concentration ratio in the parabolic trough collector absorber outer surface.
Briefly, substrate cleavage was assumed to be governed by Michaelis−Menten kinetics with a spatially heterogeneous HNE concentration dictated by HNE's diffusion into the gel as well as its measured half-life.
