We study instantaneous, mixing-driven, bimolecular equilibrium reactions in a system where transport is governed by a multidimensional space fractional dispersion equation. The superdiffusive, nonlocal nature of the system causes the location and magnitude of reactions that take place to change significantly from a classical Fickian diffusion model. In particular, regions where reaction rates w...

Time-dependent laser reflectometry measurements are presented as a means to rigorously characterize analyte diffusion dynamics of small molecules from mesoporous silicon (PSi) films for drug delivery and membrane physics applications. Calculations based on inclusion of a spatially and temporally dependent solute concentration profile in a one-dimensional Fickian diffusion flow model are perform...

Hot-stage/Fourier transform infrared microspectroscopy (FTIR-M) was used to determine the diffusivities of a series of dialkyl phthalates in poly(viny1 butyral) (PVB) spin-coated films. The diffusivities ranged from lo-'' to lo-'' cmz/s for the isotherms investigated (60" to 150°C). In their respective temperature regimes, dimethyl phthalate and diethyl phthalate exhibited nonlinear diffusion b...

The effect of bacterial motion on the diffusion of a molecule of high molecular weight is studied by observing the mixing of two streams of fluid in a microfluidic flow cell. We show that the presence of motile E. coli bacteria in one of the streams results in a marked increase in the effective diffusion coefficient of Dextran, which rises linearly with the concentration of bacteria from a base...

This paper presents the results obtained with the simulations of a sandwich rectangular plate made of carbon/epoxy composite when subjected to temperature and humidity cycles. Fickian diffusion process, moisture transport along the interfaces and damage caused by slipping and debonding between the components of the microscopic structure are considered. The application of the design methodology ...

Three-dimensional concentration dependent diffusions and simultaneous chemical reactions in chemically-amplified photoresists are simulated. Fickian, a linearly increasing diffusivity and an exponentially increasing diffusivity due to free volume increase with T-BOC are considered. Two different grid to processor mappings are proposed in implementing the simulator on massively parallel processo...

Mass diffusion in multicomponent gas mixtures is governed by a coupled system of linear equations for the diffusive mass ̄uxes in terms of thermodynamic driving forces, known as the generalized Stefan±Maxwell equation. In computations of mass diffusion in multicomponent gas mixtures, this coupling between the different components results in considerable computational overhead. Consequently, sim...