2 research outputs found
Self-similar Approximants of the Permeability in Heterogeneous Porous Media from Moment Equation Expansions
We use a mathematical technique, the self-similar functional renormalization,
to construct formulas for the average conductivity that apply for large
heterogeneity, based on perturbative expansions in powers of a small parameter,
usually the log-variance of the local conductivity. Using
perturbation expansions up to third order and fourth order in
obtained from the moment equation approach, we construct the general functional
dependence of the transport variables in the regime where is of
order 1 and larger than 1. Comparison with available numerical simulations give
encouraging results and show that the proposed method provides significant
improvements over available expansions.Comment: Latex, 14 pages + 5 ps figure
Nonaqueous catalytic fluorometric trace determination of vanadium based on the pyronine B-hydrogen peroxide reaction and flow injection after cloud point extraction
The catalytic effect of vanadium on the pyronine B-H2O2 system is examined. Enhancement of the catalytic reaction rate along with the efficiency and selectivity against vanadium is achieved in a formic acid environment in the presence of a nonionic surfactant (Triton X-114). Elimination of drastic interference caused by inorganic acids and aqueous matrix along with a 50-fold preconcentration of vanadium are facilitated through cloud point extraction of its neutral complex with 8-quinolinol in an acidic solution. Subsequent flow injection analysis (FIA) with fluorometric detection renders the proposed method ideal for selective and cost-effective determination of as little as 0.020 μg L-1 vanadium in environmental, biological, and food substrates. The preconcentration step can be applied simultaneously to multiple samples, allowing for massive preparation prior to analysis, compensating, thus, for the time-consuming procedure