Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the diffusive behavior by evaluating the effective diffusion coefficient together with the corresponding Peclet number. Corrections due to quantum effects, such a...

[1] Dissolution of the surfaces of rock fractures can cause significant alteration of the fracture void space (aperture) and fracture permeability (k). Both surface reaction rates and transport of reactants within the fracture can limit local dissolution. We investigated the role of Peclet number (Pe), a measure of the relative importance of advective and diffusive transport of reactants, on fr...

[1] This paper introduces new methods for simulating subsurface solute and heat transport in heterogeneous media using large‐scale lattice‐Boltzmann models capable of representing both macroscopically averaged porous media and open channel flows. Previous examples of macroscopically averaged lattice‐Boltzmann models for solute and heat transport are only applicable to homogeneous media. Here, w...

Supercritical Fluid Extraction have been used widely in the natural material industries ,because it produced excellent mass transfer properties, ease solubility control due to temperature and pressure. A mathematical model based on shrinking-core model of the extraction process and simulation were used. Previous worker’s have used a model including axial dispersion. They give the effect of an i...

A new high-resolution scheme is developed for convection–diffusion problems in domains with moving boundaries. A finite element approximation of the governing equation is designed within the framework of a conservative Arbitrary Lagrangian Eulerian (ALE) formulation. An implicit flux-corrected transport (FCT) algorithm is implemented to suppress spurious undershoots and overshoots appearing in ...

Laplace transform approach to the rigorous upscaling of the infinite adsorption rate reactive flow under dominant Peclet number through a pore‡ Catherine Choquet and Andro Mikelić ∗ Université P. Cézanne, LATP UMR 6632, Faculté des Sciences et Techniques de Saint-Jérôme, 13397 Marseille Cedex 20, FRANCE Université de Lyon, Lyon, F-69003, FRANCE; Université Lyon 1, Institut Camille Jordan, UFR M...

When non-dimensionalized by length and velocity scales L, V , the explicit parameter is the Peclet number Pe = V L/κ. Other important parameters controlling the distribution are implicit in the characteristics of the advecting flow. Here we illustrate with z identified with the vertical direction which is most relevant to creating the deep columns of tracer. Application to a region of horizonta...

The effect of soluble surfactants on the unsteady motion and deformation of a bubble rising in an otherwise quiescent liquid contained in an axisymmetric tube is computationally studied by using a finite-difference/front-tracking method. The unsteady incompressible flow equations are solved fully coupled with the evolution equations of bulk and interfacial surfactant concentrations. The surface...

Thermal characteristics of pressure-driven, power-law fluid flows through narrow confinements are analyzed following a semi-analytical approach, by taking into consideration the electrokinetic effects beyond the Debye-Hückel limit. The influence of the induced streaming potential on the flow velocity, temperature and Nusselt number are delineated for parametric variations of the ionic Peclet nu...