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Journal articles on the topic 'Transport/Diffusion Equivalence'

Author: Grafiati

Published: 27 July 2024

Last updated: 31 July 2025

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1

Liu, Zhi Bin, Jin Ma, Bing Shu Wang, and Xin Hui Duan. "The Study on Homogeneous Parameters of Light Water Reactor by the Nodal Diffusion Method." Applied Mechanics and Materials 666 (October 2014): 144–48. http://dx.doi.org/10.4028/www.scientific.net/amm.666.144.

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Recent progress in the development of coarse-mesh nodal methods for the numerical solution of the neutron diffusion and transport equations is reviewed. Compared with earlier nodal simulators, more recent nodal diffusion methods are characterized by the systematic derivation of spatial coupling relationships which are entirely consistent with the multi-group diffusion equation. These relationships most often are derived by developing approximations to the one-dimensional equations obtained by integrating the multidimensional diffusion equation over directions transverse to each coordinate axis

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2

Buonocore, Salvatore, Mihir Sen, and Fabio Semperlotti. "Stochastic scattering model of anomalous diffusion in arrays of steady vortices." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (2020): 20200183. http://dx.doi.org/10.1098/rspa.2020.0183.

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We investigate the occurrence of anomalous transport phenomena associated with tracer particles propagating through arrays of steady vortices. The mechanism responsible for the occurrence of anomalous transport is identified in the particle dynamic, which is characterized by long collision-less trajectories (Lévy flights) interrupted by chaotic interactions with vortices. The process is studied via stochastic molecular models that are able to capture the underlying non-local nature of the transport mechanism. These models, however, are not well suited for problems where computational efficienc

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Rapaport, Alain, Alejandro Rojas-Palma, Jean-Raynald de Dreuzy, and Hector C. Ramirez. "Equivalence of Finite Dimensional Input–Output Models of Solute Transport and Diffusion in Geosciences." IEEE Transactions on Automatic Control 62, no. 10 (2017): 5470–77. http://dx.doi.org/10.1109/tac.2017.2701150.

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Wassmer, Dominik, Bruno Schuermans, Christian Oliver Paschereit, and Jonas P. Moeck. "Measurement and modeling of the generation and the transport of entropy waves in a model gas turbine combustor." International Journal of Spray and Combustion Dynamics 9, no. 4 (2017): 299–309. http://dx.doi.org/10.1177/1756827717696326.

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Indirect combustion noise is caused by entropy spots that are accelerated at the first turbine stage. These so-called entropy waves originate from the equivalence ratio fluctuations in the air–fuel mixture upstream of the flame. As entropy waves propagate convectively through the combustion chamber, they are subject to diffusion and dispersion. Because of the inherent difficulty of accurately measuring the burned gas temperature with sufficient temporal resolution, experimental data of entropy waves are scarce. In this work, the transfer function between equivalence ratio fluctuations and entr

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Kather, Vincent, Finn Lückoff, Christian O. Paschereit, and Kilian Oberleithner. "Interaction of equivalence ratio fluctuations and flow fluctuations in acoustically forced swirl flames." International Journal of Spray and Combustion Dynamics 13, no. 1-2 (2021): 72–95. http://dx.doi.org/10.1177/17568277211015544.

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The generation and turbulent transport of temporal equivalence ratio fluctuations in a swirl combustor are experimentally investigated and compared to a one-dimensional transport model. These fluctuations are generated by acoustic perturbations at the fuel injector and play a crucial role in the feedback loop leading to thermoacoustic instabilities. The focus of this investigation lies on the interplay between fuel fluctuations and coherent vortical structures that are both affected by the acoustic forcing. To this end, optical diagnostics are applied inside the mixing duct and in the combusti

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6

Takasugi, Cole, Nicolas Martin, Vincent Labouré, Javier Ortensi, Kostadin Ivanov, and Maria Avramova. "Preservation of kinetics parameters generated by Monte Carlo calculations in two-step deterministic calculations." EPJ Nuclear Sciences & Technologies 9 (2023): 15. http://dx.doi.org/10.1051/epjn/2022056.

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The generation of accurate kinetic parameters such as mean generation time Λ and effective delayed neutron fraction βeff via Monte Carlo codes is established. Employing these in downstream deterministic codes warrants another step to ensure no additional error is introduced by the low-order transport operator when computing forward and adjoint fluxes for bilinear weighting of these parameters. Another complexity stems from applying superhomogenization (SPH) equivalence in non-fundamental mode approximations, where reference and low-order calculations rely on a 3D full core model. In these case

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Heinz, Stefan, Jakob Heinz, and Jonathan A. Brant. "Mass Transport in Membrane Systems: Flow Regime Identification by Fourier Analysis." Fluids 7, no. 12 (2022): 369. http://dx.doi.org/10.3390/fluids7120369.

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The numerical calculation of local mass distributions in membrane systems by computational fluid dynamics (CFD) offers indispensable benefits. However, the concept to calculate such distributions in response to separate variations of operation conditions (OCs) makes it difficult to address overall, flow-physics-related questions, which require the consideration of the collective interaction of OCs. It is shown that such understanding-related relationships can be obtained by the analytical solution of the advection–diffusion equation considered. A Fourier series model (FSM) is presented, which

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Yan, Sheng, Zhili Zou, and Zaijin You. "Eulerian Description of Wave-Induced Stokes Drift Effect on Tracer Transport." Journal of Marine Science and Engineering 10, no. 2 (2022): 253. http://dx.doi.org/10.3390/jmse10020253.

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The wave-induced Stokes drift plays a significant role on mass/tracer transport in the ocean and the evolution of coastal morphology. The tracer advection diffusion equation needs to be modified for Eulerian ocean models to properly account for the surface wave effects. The Eulerian description of Stokes drift effect on the tracer transport is derived in this study to show that this effect can be accounted for automatically in the wave-averaged advection-diffusion equation. The advection term in this equation is the wave-averaged concentration flux produced by the interaction between fluctuati

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9

Gazizov, R. K., A. A. Kasatkin, and S. Yu Lukashchuk. "Symmetry properties of fractional order transport equations." Proceedings of the Mavlyutov Institute of Mechanics 9, no. 1 (2012): 59–64. http://dx.doi.org/10.21662/uim2012.1.010.

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In the paper some features of applying Lie group analysis methods to fractional differential equations are considered. The problem related to point change of variables in the fractional differentiation operator is discussed and some general form of transformation that conserves the form of Riemann-Liouville fractional operator is obtained. The prolongation formula for extending an infinitesimal operator of a group to fractional derivative with respect to arbitrary function is presented. Provided simple example illustrates the necessity of considering both local and non-local symmetries for fra

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10

Rahnema, Farzad, and Piero Ravetto. "On the Equivalence of Boundary and Boundary Condition Perturbations in Transport Theory and Its Diffusion Approximation." Nuclear Science and Engineering 128, no. 2 (1998): 209–23. http://dx.doi.org/10.13182/nse98-a1952.

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11

Jost, Andreas, Michel Bendias, Jan Böttcher, et al. "Electron–hole asymmetry of the topological surface states in strained HgTe." Proceedings of the National Academy of Sciences 114, no. 13 (2017): 3381–86. http://dx.doi.org/10.1073/pnas.1611663114.

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Topological insulators are a new class of materials with an insulating bulk and topologically protected metallic surface states. Although it is widely assumed that these surface states display a Dirac-type dispersion that is symmetric above and below the Dirac point, this exact equivalence across the Fermi level has yet to be established experimentally. Here, we present a detailed transport study of the 3D topological insulator-strained HgTe that strongly challenges this prevailing viewpoint. First, we establish the existence of exclusively surface-dominated transport via the observation of an

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12

Seibert, P., and A. Frank. "Source-receptor matrix calculation with a Source-receptor matrix calculation with a backward mode." Atmospheric Chemistry and Physics Discussions 3, no. 4 (2003): 4515–48. http://dx.doi.org/10.5194/acpd-3-4515-2003.

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Abstract. The possibility to calculate linear-source receptor relationships for the transport of atmospheric trace substances with a Lagrangian particle dispersion model (LPDM) running in backward mode is shown and presented with many tests and examples. The derivation includes the action of sources and of any first-order processes (transformation with prescribed rates, dry and wet deposition, radioactive decay, ...). The backward mode is computationally advantageous if the number of receptors is less than the number of sources considered. The combination of an LPDM with the backward (adjoint)

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13

Lee, Hsu Chew, Peng Dai, Minping Wan, and Andrei N. Lipatnikov. "Lewis number and preferential diffusion effects in lean hydrogen–air highly turbulent flames." Physics of Fluids 34, no. 3 (2022): 035131. http://dx.doi.org/10.1063/5.0087426.

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Unsteady three-dimensional direct numerical simulations of highly turbulent, complex-chemistry, lean hydrogen-air flames were performed by changing the equivalence ratio [Formula: see text], root mean square velocity [Formula: see text], and turbulence length scale [Formula: see text]. For each set of [Formula: see text], to explore the influence of molecular transport coefficients on the turbulent burning velocity [Formula: see text], four cases were designed: (i) mixture-averaged diffusivities; (ii) diffusivities equal to the heat diffusivity [Formula: see text] of the mixture for all specie

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Benoist, P., M. Carta, G. Palmiotti, M. Salvatores, and J. Tullett. "A Simple Calculation of Control Assembly Effectiveness in a Liquid-Metal Fast Breeder Reactor by a Transport-Diffusion Equivalence Method." Nuclear Science and Engineering 103, no. 3 (1989): 254–64. http://dx.doi.org/10.13182/nse89-a23676.

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15

Vrhovac, Slobodan B., and Zoran Lj Petrovic. "Boltzmann Equation Theory of Charged Particle Transport in Neutral Gases: Perturbation Treatment." Australian Journal of Physics 52, no. 6 (1999): 999. http://dx.doi.org/10.1071/ph99053.

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This paper examines the formal structure of the Boltzmann equation (BE) theory of charged particle transport in neutral gases. The initial value problem of the BE is studied by using perturbation theory generalised to non-Hermitian operators. The method developed by R�sibois was generalised in order to be applied for the derivation of the transport coecients of swarms of charged particles in gases. We reveal which intrinsic properties of the operators occurring in the kinetic equation are sucient for the generalised diffusion equation (GDE) and the density gradient expansion to be valid. Expli

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16

Seibert, P., and A. Frank. "Source-receptor matrix calculation with a Lagrangian particle dispersion model in backward mode." Atmospheric Chemistry and Physics 4, no. 1 (2004): 51–63. http://dx.doi.org/10.5194/acp-4-51-2004.

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Abstract. The possibility to calculate linear-source receptor relationships for the transport of atmospheric trace substances with a Lagrangian particle dispersion model (LPDM) running in backward mode is shown and presented with many tests and examples. This mode requires only minor modifications of the forward LPDM. The derivation includes the action of sources and of any first-order processes (transformation with prescribed rates, dry and wet deposition, radioactive decay, etc.). The backward mode is computationally advantageous if the number of receptors is less than the number of sources

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17

Zhang, Lili, Yongzhang Cui, Pengfei Yin, Wenlong Mao, and Pengzhao Zhang. "Numerical Investigation on the Flame Characteristics of Lean Premixed Methane Flame Piloted with Rich Premixed Flame." Energies 17, no. 14 (2024): 3430. http://dx.doi.org/10.3390/en17143430.

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The introduction of the pilot flame can stabilize the lean premixed flame and promote its industrial application. However, the interaction mechanism between the pilot and main flames is complicated. To reveal the effect of the pilot flame on the main flame, a laminar lean premixed flame adjacent to a rich premixed pilot flame on one side and a similar lean premixed flame on the other side was considered. A two-dimensional numerical model was adopted with detailed chemistry and species transport, also with no artificial flame anchoring boundary conditions. The results show that the pilot flame

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18

Hadi, Jihad M., Shujahadeen B. Aziz, Salah R. Saeed, et al. "Investigation of Ion Transport Parameters and Electrochemical Performance of Plasticized Biocompatible Chitosan-Based Proton Conducting Polymer Composite Electrolytes." Membranes 10, no. 11 (2020): 363. http://dx.doi.org/10.3390/membranes10110363.

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In this study, biopolymer composite electrolytes based on chitosan:ammonium iodide:Zn(II)-complex plasticized with glycerol were successfully prepared using the solution casting technique. Various electrical and electrochemical parameters of the biopolymer composite electrolytes’ films were evaluated prior to device application. The highest conducting plasticized membrane was found to have a conductivity of 1.17 × 10−4 S/cm. It is shown that the number density, mobility, and diffusion coefficient of cations and anions fractions are increased with the glycerol amount. Field emission scanning el

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19

Bykov, V., V. V. Gubernov, and U. Maas. "Mechanisms performance and pressure dependence of hydrogen/air burner-stabilized flames." Mathematical Modelling of Natural Phenomena 13, no. 6 (2018): 51. http://dx.doi.org/10.1051/mmnp/2018046.

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The kinetic mechanism of hydrogen combustion is the most investigated combustion system. This is due to extreme importance of the mechanism for combustion processes, i.e. it is present as a sub-mechanism in all mechanisms for hydrocarbon combustion systems. Therefore, detailed aspects of hydrogen flames are still under active investigations, e.g. under elevated pressure, under conditions of different heat losses intensities and local equivalence ratios etc. For this purpose, the burner stabilized flame configuration is an efficient tool to study different aspects of chemical kinetics by varyin

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20

Amin, E. M., G. E. Andrews, M. Pourkashnian, A. Williams, and R. A. Yetter. "A Computational Study of Pressure Effects on Pollutant Generation in Gas Turbine Combustors." Journal of Engineering for Gas Turbines and Power 119, no. 1 (1997): 76–83. http://dx.doi.org/10.1115/1.2815565.

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A numerical study of the effect of pressure on the formation of NOx and soot in an axisymmetric 30 deg counterrotating axial swirler lean low-NOx gas turbine combustor has been conducted. This has previously been studied experimentally and this CFD investigation was undertaken to explain the higher than expected NOx emissions. The combustion conditions selected for the present study were 300 K inlet air, 0.4 overall equivalence ratio, and pressures of 1 and 10 bar. The numerical model used here involved the solution of time-averaged governing equations using an elliptic flow-field solver. The

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21

MUESCHKE, NICHOLAS J., OLEG SCHILLING, DAVID L. YOUNGS, and MALCOLM J. ANDREWS. "Measurements of molecular mixing in a high-Schmidt-number Rayleigh–Taylor mixing layer." Journal of Fluid Mechanics 632 (July 27, 2009): 17–48. http://dx.doi.org/10.1017/s0022112009006132.

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Molecular mixing measurements are reported for a high-Schmidt-number (Sc~ 103), small-Atwood-number (A≈ 7.5 × 10−4) buoyancy-driven turbulent Rayleigh–Taylor (RT) mixing layer in a water channel facility. Salt was added to the top water stream to create the desired density difference. The degree of molecular mixing was measured as a function of time by monitoring a diffusion-limited chemical reaction between the two fluid streams. The pH of each stream was modified by the addition of acid or alkali such that a local neutralization reaction occurred as the two fluids molecularly mixed. The prog

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22

Burbea, Z. H., S. R. Gullans, and S. Ben-Yaakov. "Delta alkalinity: a simple method to measure cellular net acid-base fluxes." American Journal of Physiology-Cell Physiology 253, no. 4 (1987): C525—C534. http://dx.doi.org/10.1152/ajpcell.1987.253.4.c525.

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Acid-base transport across cell plasma membranes is important for cell homeostasis and growth. Current techniques for quantitatively measuring net acid-base fluxes are generally limited by either assumptions concerning properties of intracellular compartments or use of poorly buffered, nonphysiological solutions. We adapted an approach from marine chemistry to quantitate net acid-base changes in standard physiological media that obviates these problems. This method is based on conservation of charge and involves a simple acid titration of the extracellular medium to an end point, the equivalen

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23

Huang, Tao, Zhongqi Peng, Mengge Wang, and Shuang Feng. "Study on the Ionic Transport Properties of 3D Printed Concrete." Buildings 14, no. 5 (2024): 1216. http://dx.doi.org/10.3390/buildings14051216.

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Three-dimensional printed concrete (3DPC) is an anisotropic heterogeneous material composed of a concrete matrix and the interfaces between layers and filaments that form during printing. The overall ion transport properties can be characterized by the equivalent diffusion coefficient. This paper first establishes a theoretical model to calculate the equivalent diffusion coefficient of 3DPC. Verification through numerical calculations shows that this theoretical model is highly precise. Based on this, the model was used to analyze the effects of dimensionless interface parameters on the equiva

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Kakati, Nitul, Mrittunjoy Sarker, Heng Zhang, and Po-Ya Abel Chuang. "Enhancing PEMFC Performance: Optimization of Hot-Pressed Decal Transfer Conditions for MEA Fabrication." ECS Meeting Abstracts MA2024-01, no. 36 (2024): 2099. http://dx.doi.org/10.1149/ma2024-01362099mtgabs.

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Proton exchange membrane fuel cells (PEMFCs) hold significant promise in curbing greenhouse gas emissions within the transportation sector. While historically more expensive than conventional internal combustion engines, the cost per kW is poised to significantly drop as production volumes increase and the adoption of fuel cell electric vehicles progresses [1]. In heavy-duty vehicle applications, predictions suggest that hydrogen fuel cells will achieve a cost equivalence with diesel, potentially becoming the most cost-effective option when evaluating the total ownership expenses [2]. Membrane

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Dannoun, Elham M. A., Shujahadeen B. Aziz, Rebar T. Abdulwahid, et al. "Study of MC:DN-Based Biopolymer Blend Electrolytes with Inserted Zn-Metal Complex for Energy Storage Devices with Improved Electrochemical Performance." Membranes 12, no. 8 (2022): 769. http://dx.doi.org/10.3390/membranes12080769.

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Stable and ionic conducting electrolytes are needed to make supercapacitors more feasible, because liquid electrolytes have leakage problems and easily undergo solvent evaporation. Polymer-based electrolytes meet the criteria, yet they lack good efficiency due to limited segmental motion. Since metal complexes have crosslinking centers that can be coordinated with the polymer segments, they are regarded as an adequate method to improve the performance of the polymer-based electrolytes. To prepare plasticized proton conducting polymer composite (PPC), a simple and successful process was used. U

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TAHARA, Yoshihisa, and Hiroshi SEKIMOTO. "Transport Equivalent Diffusion Constants for Reflector Region in PWRs." Journal of Nuclear Science and Technology 39, no. 7 (2002): 716–28. http://dx.doi.org/10.1080/18811248.2002.9715253.

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27

Reyes, J. G., M. V. Velarde, R. Ugarte, and D. J. Benos. "Glycolytic component of rat spermatid energy and acid-base metabolism." American Journal of Physiology-Cell Physiology 259, no. 4 (1990): C660—C667. http://dx.doi.org/10.1152/ajpcell.1990.259.4.c660.

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The impact of glycolysis on rat spermatid energy metabolism is made apparent by the simultaneous occurrence of the following three events upon glucose addition to the extracellular medium of a rat spermatid cell suspension: decrease in ATP content, exit of acid equivalents, and increased lactate production and efflux. In this work, we have studied the interrelations between these three phenomena. By measuring ATP content, net acid transport, lactate exit, oxygen consumption, intracellular pH, CO2 production, and glycolytic intermediates in the presence of glucose and glucose analogues, we conc

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28

Paradisi, Paolo, Rita Cesari, Francesco Mainardi, and Francesco Tampieri. "The fractional Fick's law for non-local transport processes." Physica A: Statistical Mechanics and its Applications 293, no. 1-2 (2001): 130–42. https://doi.org/10.1016/S0378-4371(00)00491-X.

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Fick's law is extensively adopted as a model for standard diffusion processes. However, requiring separation of scales, it is not suitable for describing non-local transport processes. We discuss a generalized non-local Fick's law derived from the space-fractional diffusion equation generating the Lévy–Feller statistics. This means that the fundamental solutions can be interpreted as Lévy stable probability densities (in the Feller parameterization) with index <em>α</em> (1<<em>α</em>⩽2) and skewness <em>θ</em> (|<em>θ</em>|⩽2−<em>&a

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29

Jaroš, P., and M. Vertaľ. "Water vapor transmission parameters of the Kežmarok sandstone." IOP Conference Series: Materials Science and Engineering 1252, no. 1 (2022): 012038. http://dx.doi.org/10.1088/1757-899x/1252/1/012038.

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Abstract Dynamic complex heat and water transport in building constructions can be calculated using modern simulation software such as Wufi, Delphin, Math, Comsol Multiphysics and other. This software is suitable for the evaluation of the thermal and hygric processes in constructions of historical buildings. Because it includes many important factors such as dynamic boundary conditions, solar radiation, driven rain, ground water, diffusion and others. The heat and water transport parameters of historical materials are needed for simulation of coupled heat and water transport in building materi

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Huo, Guanping, and Xueyan Guo. "Numerical Analyses of Heterogeneous CLC Reaction and Transport Processes in Large Oxygen Carrier Particles." Processes 9, no. 1 (2021): 125. http://dx.doi.org/10.3390/pr9010125.

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Heterogeneous chemical looping combustion (CLC) reactions and conjugate transports in large oxygen carrier particles were numerically investigated with computational fluid dynamics (CFD) approaches, in which a simplified noncatalytic reaction model was implemented for reducing intraparticle modelling computation. Volumic gas-solid reactions were treated as surface reactions based on the equivalent internal surface in the particle model. In large porous particles such as fixed bed CLC reactors, the heterogeneous reactions are often limited by intraparticle diffusion. Comprehensive analyses were

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Huo, Guanping, and Xueyan Guo. "Numerical Analyses of Heterogeneous CLC Reaction and Transport Processes in Large Oxygen Carrier Particles." Processes 9, no. 1 (2021): 125. http://dx.doi.org/10.3390/pr9010125.

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Heterogeneous chemical looping combustion (CLC) reactions and conjugate transports in large oxygen carrier particles were numerically investigated with computational fluid dynamics (CFD) approaches, in which a simplified noncatalytic reaction model was implemented for reducing intraparticle modelling computation. Volumic gas-solid reactions were treated as surface reactions based on the equivalent internal surface in the particle model. In large porous particles such as fixed bed CLC reactors, the heterogeneous reactions are often limited by intraparticle diffusion. Comprehensive analyses were

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Chebbo, Ghassan, Nicolas Forgues, Emmanuelle Lucas-Aiguier, and Stéphane Berthebaud. "A stochastic approach to modelling solid transport in settling tanks." Water Science and Technology 37, no. 1 (1998): 277–84. http://dx.doi.org/10.2166/wst.1998.0066.

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Dispersion and settling models for suspended solids (SS) in turbulent flow are in the majority of cases Eulerian and deterministic. They simulate SS transport using a convection-diffusion equation. When the diffusion term is supposed not to be zero at the boundary of a settling tank, we show that an alternative (or equivalent) description of the basic convection-diffusion equation for the concentration of suspended solids consists in modelling the particles trajectories as a stochastic diffusion process. This paper has two aims, firstly to present the proposed stochastic approach and secondly

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Ramanan, B., W. M. Holmes, W. T. Sloan, and V. R. Phoenix. "Application of Paramagnetically Tagged Molecules for Magnetic Resonance Imaging of Biofilm Mass Transport Processes." Applied and Environmental Microbiology 76, no. 12 (2010): 4027–36. http://dx.doi.org/10.1128/aem.03016-09.

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ABSTRACT Molecules become readily visible by magnetic resonance imaging (MRI) when labeled with a paramagnetic tag. Consequently, MRI can be used to image their transport through porous media. In this study, we demonstrated that this method could be applied to image mass transport processes in biofilms. The transport of a complex of gadolinium and diethylenetriamine pentaacetic acid (Gd-DTPA), a commercially available paramagnetic molecule, was imaged both in agar (as a homogeneous test system) and in a phototrophic biofilm. The images collected were T 1 weighted, where T 1 is an MRI property

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Conhaim, Robert L., Kal E. Watson, Stephen J. Lai-Fook, and Bruce A. Harms. "Transport properties of alveolar epithelium measured by molecular hetastarch absorption in isolated rat lungs." Journal of Applied Physiology 91, no. 4 (2001): 1730–40. http://dx.doi.org/10.1152/jappl.2001.91.4.1730.

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To evaluate the transport properties of the alveolar epithelium, we instilled hetastarch (Het; 6%, 10 ml, 1 − 1 × 104kDa) into the trachea of isolated rat lungs and then measured the molecular distribution of Het that entered the lung perfusate from the air space over 6 h. Het transport was driven by either diffusion or an oncotic gradient. Perfusate Het had a unique, bimodal molecular weight distribution, consisting of a narrow low-molecular-weight peak at 10–15 kDa (range, 5–46 kDa) and a broad high-molecular-weight band (range 46–2,000 kDa; highest at 288 kDa). We modeled the low-molecular-

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Tárnoki-Zách, Júlia, Elod Mehes, Zsófia Varga-Medveczky, et al. "Development and Evaluation of a Human Skin Equivalent in a Semiautomatic Microfluidic Diffusion Chamber." Pharmaceutics 13, no. 6 (2021): 910. http://dx.doi.org/10.3390/pharmaceutics13060910.

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There is an increasing demand for transdermal transport measurements to optimize topical drug formulations and to achieve proper penetration profile of cosmetic ingredients. Reflecting ethical concerns the use of both human and animal tissues is becoming more restricted. Therefore, the focus of dermal research is shifting towards in vitro assays. In the current proof-of-concept study a three-layer skin equivalent using human HaCaT keratinocytes, an electrospun polycaprolactone mesh and a collagen-I gel was compared to human excised skin samples. We measured the permeability of the samples for

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Orre, Steinar, Yongqi Gao, Helge Drange, and Eric Deleersnijder. "Diagnosing ocean tracer transport from Sellafield and Dounreay by equivalent diffusion and age." Advances in Atmospheric Sciences 25, no. 5 (2008): 805–14. http://dx.doi.org/10.1007/s00376-008-0805-y.

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Luo, Gang, Yan Ji, Chao-Yang Wang, and Puneet K. Sinha. "Modeling liquid water transport in gas diffusion layers by topologically equivalent pore network." Electrochimica Acta 55, no. 19 (2010): 5332–41. http://dx.doi.org/10.1016/j.electacta.2010.04.078.

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Huang, Xiang, Wei Zhou, and Daxiang Deng. "Effective Diffusion in Fibrous Porous Media: A Comparison Study between Lattice Boltzmann and Pore Network Modeling Methods." Materials 14, no. 4 (2021): 756. http://dx.doi.org/10.3390/ma14040756.

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The understanding of the correlation between a pore-scale structure and its coupled diffusion transport property is crucial in the virtual design and performance optimization of porous fibrous material for various energy applications. Two most common and widely employed pore-scale modeling techniques are the lattice Boltzmann method (LBM) and the pore network modeling (PNM). However, little attention has been paid to the direct comparison between these two methods. To this end, stochastic porous fibrous structures are reconstructed reflecting the structural properties of the fibrous porous mat

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Ramírez Sabag, Jetzabeth, and Dennys Armando López Falcón. "How to use solutions of Advection-Dispersion Equation to describe reactive solute transport through porous media." Geofísica Internacional 60, no. 3 (2021): 229–40. http://dx.doi.org/10.22201/igeof.00167169p.2021.60.3.2024.

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ResumenLas soluciones de la Ecuación de Advección-Dispersión son usadas frecuentemente para describir el transporte de solutos a través de medios porosos, considerando adsorción en equilibrio, de tipo lineal y reversible. Para indicar algunas sugerencias acerca de este tema, se hizo una revisión de las soluciones analíticas disponibles. Hay soluciones para Problemas con Condiciones de Frontera, de primer y tercer-tipo en la entrada así como de primer y segundo-tipo a la salida. Se analiza el comportamiento de las soluciones equivalentes, para sistemas finitos y semi-infinitos, observando que l

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Sieniutycz, Stanisław. "Thermodynamic Structure of Nonlinear Macrokinetics in Reaction-Diffusion Systems." Open Systems & Information Dynamics 11, no. 02 (2004): 185–202. http://dx.doi.org/10.1023/b:opsy.0000034196.56929.71.

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Affinity picture — new for transport phenomena — and the traditional Onsagerian picture are shown to constitute two equivalent representations for kinetics of chemical reactions and transfer processes. Two competing directions in elementary chemical or transport steps are analyzed. Nonequilibrium systems are described by equations of nonlinear kinetics of Marcelin-Kohnstamm-de Donder type that contain terms exponential with respect to the Planck potentials and temperature reciprocal. Simultaneously these equations are analytical expressions characterizing the transport of the substance or ener

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Pediz, Gökhan, Ayhan Yılmazer, and Mehmet Tombakoğlu. "Transport equivalent full core neutronics calculations via finite volume method and optimized diffusion parameters." Progress in Nuclear Energy 165 (November 2023): 104935. http://dx.doi.org/10.1016/j.pnucene.2023.104935.

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Macey, R. I., and L. W. Yousef. "Osmotic stability of red cells in renal circulation requires rapid urea transport." American Journal of Physiology-Cell Physiology 254, no. 5 (1988): C669—C674. http://dx.doi.org/10.1152/ajpcell.1988.254.5.c669.

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Urea transport by the human erythrocyte occurs via an asymmetric-facilitated diffusion system with high Michaelis constants and high maximal velocities; the equivalent permeability in the limit of zero urea concentration is approximately 10(-3) cm/s (J. Gen. Physiol. 81: 221-237, 239-253, 1983). A physiological role for this system is revealed by numerical integration of the appropriate equations that show that rapid urea transport is essential for red cell stability in passing through the renal medulla. The calculation compares two cells. Cell A transports urea with permeability characteristi

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Wu, Lipeng, Peng Dai, and Yong Li. "Determination of the Transport Properties of Structural Concrete Using AC Impedance Spectroscopy Techniques." Journal of Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/2630186.

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All over the world, particularly in severe environmental conditions, there are reinforced concrete structures that develop nonnegligible phenomena of durability problems. Most of the durability problems are related to hazardous substances invasion. Both engineering practice and scientific studies have revealed that the transport property of near-surface concrete is a main factor in the durability of concrete structures. Among many transport parameters, the chloride ion diffusion coefficient is the most important one, which provides important information on material design and service life pred

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Dehghan, Mehdi. "On the numerical solution of the one-dimensional convection-diffusion equation." Mathematical Problems in Engineering 2005, no. 1 (2005): 61–74. http://dx.doi.org/10.1155/mpe.2005.61.

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The numerical solution of convection-diffusion transport problems arises in many important applications in science and engineering. These problems occur in many applications such as in the transport of air and ground water pollutants, oil reservoir flow, in the modeling of semiconductors, and so forth. This paper describes several finite difference schemes for solving the one-dimensional convection-diffusion equation with constant coefficients. In this research the use of modified equivalent partial differential equation (MEPDE) as a means of estimating the order of accuracy of a given finite

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Hsia, Connie C. W., Robert L. Johnson, D. Merrill Dane, et al. "The canine spleen in oxygen transport: gas exchange and hemodynamic responses to splenectomy." Journal of Applied Physiology 103, no. 5 (2007): 1496–505. http://dx.doi.org/10.1152/japplphysiol.00281.2007.

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In athletic animals the spleen induces acute polycythemia by dynamic contraction that releases red blood cells into the circulation in response to increased O2 demand and metabolic stress; when energy demand is relieved, the polycythemia is rapidly reversed by splenic relaxation. We have shown in adult foxhounds that splenectomy eliminates exercise-induced polycythemia, thereby reducing peak O2 uptake and lung diffusing capacity for carbon monoxide (DLCO) as well as exaggerating preexisting DLCO impairment imposed by pneumonectomy (Dane DM, Hsia CC, Wu EY, Hogg RT, Hogg DC, Estrera AS, Johnson

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Halaihel, Nabil, Daniele Gerbaud, Monique Vasseur, and Francisco Alvarado. "Heterogeneity of pig intestinald-glucose transport systems." American Journal of Physiology-Cell Physiology 277, no. 6 (1999): C1130—C1141. http://dx.doi.org/10.1152/ajpcell.1999.277.6.c1130.

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Heterogeneity of intestinald-glucose transport is demonstrated using pig jejunal brush-border membrane vesicles in the presence of 100/0 (out/in) mM gradients each of NaCl, NaSCN, and KSCN. Two d-glucose transport systems are kinetically distinguished: high-affinity, low-capacity system 1, which is equivalent to the symporter SGLT1; and low-affinity, high-capacity system 2, which is not a member of the SGLT family but is a d-glucose and d-mannose transporter exhibiting no preference for Na+over K+. A nonsaturabled-glucose uptake component has also been detected; uptake of this component takes

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ZHENG, QIAN, JINTU FAN, XIANGPENG LI, and SHIFANG WANG. "FRACTAL MODEL OF GAS DIFFUSION IN FRACTURED POROUS MEDIA." Fractals 26, no. 03 (2018): 1850035. http://dx.doi.org/10.1142/s0218348x18500354.

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Understanding gas transport behavior though fractured porous media is essential in many fields including fiber science, energy science, soil science, environmental engineering, chemical engineering, etc. In this paper, a fractal model is developed to characterize gas diffusion through fractured porous media, where a bundle of fractal-like tree branching networks is used to represent the fracture system according to fractal scaling laws. The analytical expression for relative gas diffusion coefficient of fractured porous media is derived. The proposed fractal model has been validated by the ava

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Kim, Yong Ho, Kwang-Jin Kim, David Z. D’Argenio, and Edward D. Crandall. "Characteristics of Passive Solute Transport across Primary Rat Alveolar Epithelial Cell Monolayers." Membranes 11, no. 5 (2021): 331. http://dx.doi.org/10.3390/membranes11050331.

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Primary rat alveolar epithelial cell monolayers (RAECM) were grown without (type I cell-like phenotype, RAECM-I) or with (type II cell-like phenotype, RAECM-II) keratinocyte growth factor to assess passive transport of 11 hydrophilic solutes. We estimated apparent permeability (Papp) in the absence/presence of calcium chelator EGTA to determine the effects of perturbing tight junctions on “equivalent” pores. Papp across RAECM-I and -II in the absence of EGTA are similar and decrease as solute size increases. We modeled Papp of the hydrophilic solutes across RAECM-I/-II as taking place via hete

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Berman, David S., and Marc S. Klinger. "The Inverse of Exact Renormalization Group Flows as Statistical Inference." Entropy 26, no. 5 (2024): 389. http://dx.doi.org/10.3390/e26050389.

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We build on the view of the Exact Renormalization Group (ERG) as an instantiation of Optimal Transport described by a functional convection–diffusion equation. We provide a new information-theoretic perspective for understanding the ERG through the intermediary of Bayesian Statistical Inference. This connection is facilitated by the Dynamical Bayesian Inference scheme, which encodes Bayesian inference in the form of a one-parameter family of probability distributions solving an integro-differential equation derived from Bayes’ law. In this note, we demonstrate how the Dynamical Bayesian Infere

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Colombant, Denis, and Wallace Manheimer. "Numerical fluid solutions for nonlocal electron transport in hot plasmas: Equivalent diffusion versus nonlocal source." Journal of Computational Physics 229, no. 11 (2010): 4369–81. http://dx.doi.org/10.1016/j.jcp.2010.02.017.

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