Relevant bibliographies by topics / Transport/Diffusion Equivalence

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers
  4. Reports

Academic literature on the topic 'Transport/Diffusion Equivalence'

Author: Grafiati
Published: 27 July 2024
Last updated: 31 July 2025

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Journal articles on the topic "Transport/Diffusion Equivalence"

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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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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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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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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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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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Dissertations / Theses on the topic "Transport/Diffusion Equivalence"

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Rispo, Adrien. "Modélisation neutronique avancée des interfaces avec la chaîne SCIENCE V2 pour la remontée axiale du flux dans les réacteurs REP." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASP034.

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L'objectif de la thèse est de comprendre puis réduire les biais sur la distribution axiale de puissance de la chaîne de calcul SCIENCE de FRAMATOME en comparaison aux simulations Monte-Carlo. L'enjeu industriel est d'estimer précisément la remontée de puissance en extrémité de colonne fissile, à l'interface avec le réflecteur. Cette surpuissance locale est nommée PIC1, pour pic de puissance dans le premier centimètre de combustible. Ce phénomène local étant très dépendant du type d'assemblage, les comparaisons sont réalisées pour six types d'assemblages différents représentatifs du parc frança
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Penny, Melissa. "Mathematical modelling of dye-sensitised solar cells." Queensland University of Technology, 2006. http://eprints.qut.edu.au/16270/.

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This thesis presents a mathematical model of the nanoporous anode within a dyesensitised solar cell (DSC). The main purpose of this work is to investigate interfacial charge transfer and charge transport within the porous anode of the DSC under both illuminated and non-illuminated conditions. Within the porous anode we consider many of the charge transfer reactions associated with the electrolyte species, adsorbed dye molecules and semiconductor electrons at the semiconductor-dye- electrolyte interface. Each reaction at this interface is modelled explicitly via an electrochemical equation, res
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Penny, Melissa. "Mathematical modelling of dye-sensitised solar cells." Thesis, Queensland University of Technology, 2006. https://eprints.qut.edu.au/16270/1/Melissa_Penny_Thesis.pdf.

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This thesis presents a mathematical model of the nanoporous anode within a dyesensitised solar cell (DSC). The main purpose of this work is to investigate interfacial charge transfer and charge transport within the porous anode of the DSC under both illuminated and non-illuminated conditions. Within the porous anode we consider many of the charge transfer reactions associated with the electrolyte species, adsorbed dye molecules and semiconductor electrons at the semiconductor-dye- electrolyte interface. Each reaction at this interface is modelled explicitly via an electrochemical equation, res
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Patel, Amin. "Transport-theory-equivalent diffusion coefficients for node-homogenized neutron diffusion problems in CANDU lattices." Thesis, 2010. http://hdl.handle.net/10155/87.

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Calculation of the neutron flux in a nuclear reactor core is ideally performed by solving the neutron transport equation for a detailed-geometry model using several tens of energy groups. However, performing such detailed calculations for an entire core is prohibitively expensive from a computational perspective. Full-core neutronic calculations for CANDU reactors are therefore performed customarily using two-energy-group diffusion theory (no angular dependence) for a node-homogenized reactor model. The work presented here is concerned with reducing the loss in accuracy entailed when going fro
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Conference papers on the topic "Transport/Diffusion Equivalence"

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Ghanbari, Elmira, Scott Lillard, and Caleb Carpenter. "The Influence of Scale Formation on the AC Corrosion of API Grade X65 Pipeline Steel under Cathodic Protection." In CORROSION 2017. NACE International, 2017. https://doi.org/10.5006/c2017-09809.

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Abstract In a previous investigation, AC corrosion rate data generated from weight loss experiments was compared with the results from a model for AC corrosion that was developed using a modified Butler-Volmer approach. The model considered the anodic and cathodic Tafel slopes, diffusion limited oxygen transport, interfacial capacitance and solution resistance. Both experimental and model results highlighted the importance of the interfacial capacitance on the rate of AC corrosion, especially at a frequency of 60Hz. In the present work, an extension of this finding is presented to investigate
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Kumar, Ankan, and Sandip Mazumder. "Investigation of Approximate Diffusion Models for the Prediction of Heterogeneous Combustion in Monolith Tubes." In ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/ht2007-32073.

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In the case of heterogeneous reactions, diffusion is the only mechanism, locally, of transport of species to and from a surface. Thus, accurate prediction of diffusive transport is a prerequisite for accurate prediction of the operation of devices in which heterogeneous reactions occur. Three different diffusion models are examined from the standpoint of both accuracy and efficiency. Two of these models, namely the Dilute Approximation (DA) model and the Schmidt Number (SN) model, are approximate models, and are compared against a rigorous Multi-Component Diffusion (MCD) model derived from the
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Xie, Zhinan, Chen Hao, and Wen Yin. "High-Order Harmonics Calculation for the Power Reconstruction of 3D Pin-Scale Whole-Core." In 2024 31st International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/icone31-136320.

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Abstract The high-order harmonics of neutron diffusion equation is used in the reconstruction method to reconstruct the core power distribution. There are two methods available for the high-order harmonics solving: power iteration method with source correction (PIMSC) and Krylov subspace method. PIMSC was commonly used in the high-order harmonics calculation of the homogeneous assembly-scale neutron diffusion equation. However, this method cannot use the discontinuity factor theory, and the diffusion system is not equivalent to the transport system. Meanwhile, the convergence rate is influence
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Zhao, Jing, Zhihong Liu, Chunlin Wei, and Yongming Hu. "Analysis of Heterogeneous Cores Using SN Code With Discontinuity Factor." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30165.

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Solving diffusion equations with the equivalence homogenization theory is the common method in reactor neutronics. But for some case, as for stronger absorbers, the diffusion equations will bring great errors and the transport method will be more suitable. The discontinuity factor theory has been successfully used in core diffusion computation programs and effectively reduced the homogenization error. The method of using the discontinuity factor in the transport method were studied. The result shows that higher accuracy was obtained from the discrete ordinates core transport computation progra
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Kaiser, Thomas Ludwig, and Kilian Oberleithner. "Modeling the Transport of Fuel Mixture Perturbations and Entropy Waves in the Linearized Framework." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-14715.

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Abstract In this paper a new method is introduced to model the transport of entropy waves and equivalence ratio fluctuations in turbulent flows. The model is based on the Navier-Stokes equations and includes a transport equation for a passive scalar, which may stand for entropy or equivalence ratio fluctuations. The equations are linearized around the mean turbulent fields, which serve as the input to the model in addition to a turbulent eddy viscosity, which accounts for turbulent diffusion of the perturbations. Based on these inputs, the framework is able to predict the linear response of th
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Saxena, Priyank, and Forman A. Williams. "Experimental and Numerical Studies of Ethanol Flames." In ASME Turbo Expo 2006: Power for Land, Sea, and Air. ASMEDC, 2006. http://dx.doi.org/10.1115/gt2006-90326.

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This paper reports results of experimental and numerical investigations of ethanol-air diffusion flames and partially premixed flames at an air-side strain rate of 100 s−1, in a counterflow geometry. The diffusion flame consists of prevaporized fuel, with mole fraction of 0.3, diluted with nitrogen in the fuel stream, and plant air as the oxidizer stream. The partially premixed flame includes prevaporized fuel in air partially premixed to an equivalence ratio of 2.3 in the fuel stream, and plant air as the oxidizer stream. Temperature profiles were measured by thermocouple, and concentration p
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Péta, Oscar, Vincent Le Saux, Yann Marco, Benoît Omnès, and Hubert Lejeune. "Investigation and Modelling of Static O-Ring Sealing Performance After Ageing." In ASME 2024 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/pvp2024-124331.

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Abstract Monitoring and predicting the ageing of industrial systems equipped with sealing products implies the necessity to ensure tightness. This functional performance is difficult to control due to the combined effects of the viscoelastic nature of the materials of interest and the heterogeneous material evolution due to ageing. Interfacial leakage may appear during ageing, causing an increase in leakage rate. However, leakage tests provide both interfacial and permeation leakage. Permeation must be predicted to evaluate the interfacial leak and eventually be able to predict it. Diffusion a
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Rohde, U., S. Mittag, U. Grundmann, P. Petkov, and J. Ha´dek. "Application of a Step-Wise Verification and Validation Procedure to the 3D Neutron Kinetics Code DYN3D Within the European NURESIM Project." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75446.

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A generic strategy of core physics codes benchmarking was elaborated within the European NURESIM code platform development. In this paper, the application of this step-wise procedure to benchmarking the 3D neutron kinetics code DYN3D for applications to VVER-type reactors is described. Numerical and experimental benchmark problems were considered for code verification and validation. Examples of these benchmarks including benchmark set-up and results obtained by use of DYN3D in comparison with other codes are given. First, mathematical problems with given cross sections are used for the verifi
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Yücel, Fatma Cansu, Fabian Habicht, Alexander Jaeschke, Finn Lückoff, Kilian Oberleithner, and Christian Oliver Paschereit. "Investigation of the Fuel Distribution in a Shockless Explosion Combustor." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16210.

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Abstract Shockless explosion combustion is a promising concept for implementing pressure gain combustion into a conventional gas turbine cycle. This concept aims for a quasi-homogeneous autoignition that induces a moderate rise in pressure. By this, considerable losses due to entropy generation by inherent shock waves of detonation-based concepts can be avoided. Since the ignition is not triggered by an external source but driven by chemical kinetics only, the homogeneity of the autoignition is very sensitive to local perturbations in equivalence ratio, temperature, and pressure that produce u
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Amin, E. M., G. E. Andrews, M. Pourkashnian, A. Williams, and R. A. Yetter. "A Computational Study of Pressure Effects on Pollutants Generation in Gas Turbine Combustors." In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/95-gt-304.

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A numerical study of the effect of pressure on the formation of NOx and soot in an axisymmetric 30° counter rotating 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 deg 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. Th
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Reports on the topic "Transport/Diffusion Equivalence"

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Kirchhoff, Helmut, and Ziv Reich. Protection of the photosynthetic apparatus during desiccation in resurrection plants. United States Department of Agriculture, 2014. http://dx.doi.org/10.32747/2014.7699861.bard.

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In this project, we studied the photosynthetic apparatus during dehydration and rehydration of the homoiochlorophyllous resurrection plant Craterostigmapumilum (retains most of the photosynthetic components during desiccation). Resurrection plants have the remarkable capability to withstand desiccation, being able to revive after prolonged severe water deficit in a few days upon rehydration. Homoiochlorophyllous resurrection plants are very efficient in protecting the photosynthetic machinery against damage by reactive oxygen production under drought. The main purpose of this BARD project was
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