Relevant bibliographies by topics / K-epsilon turbulence model

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Academic literature on the topic 'K-epsilon turbulence model'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "K-epsilon turbulence model"

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Adanta, Dendy, I. M. Rizwanul Fattah, and Nura Musa Muhammad. "COMPARISON OF STANDARD k-epsilon AND SST k-omega TURBULENCE MODEL FOR BREASTSHOT WATERWHEEL SIMULATION." Journal of Mechanical Science and Engineering 7, no. 2 (October 9, 2020): 039–44. http://dx.doi.org/10.36706/jmse.v7i2.44.

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Currently, Computational Fluid Dynamics (CFD) was utilized to predict the performance, geometry optimization or physical phenomena of a breastshot waterwheel. The CFD method requires the turbulent model to predict the turbulent flow. However, until now there is special attention on the effective turbulent model used in the analysis of breastshot waterwheel. This study is to identify the suitable turbulence model for a breatshot waterwheel. The two turbulence models investigated are: standard k-epsilon model and shear stress transport (SST) k-omega. Pressure based and one degrees of freedom (one-DoF) feature was used in this case with 75 Nm, 150 Nm, 225 Nm and 300 Nm as preloads. Based on the results, the standard k-epsilon model gave similar result with the SST k-omega model. Therefore, the simulation for breastshot waterwheel will be efficient if using the standard k-epsilon model because it requires lower computational power than the SST k-omega model. However, to study about physical phenomenon, the SST k-omega model is recommend.
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Relation, H. L., J. L. Battaglioli, and W. F. Ng. "Numerical Simulations of Nonreacting Flows for Industrial Gas Turbine Combustor Geometries." Journal of Engineering for Gas Turbines and Power 120, no. 3 (July 1, 1998): 460–67. http://dx.doi.org/10.1115/1.2818167.

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This study evaluates the application of the computational fluid dynamics (CFD) to calculate the flowfields in industrial combustors. Two-burner test cases, which contain the elemental flow characteristics of an industrial gas turbine combustor, are studied. Comparisons were made between the standard k-epsilon turbulence model and a modified version of the k-epsilon turbulence model. The modification was based on the work of Chen and Kim in which a second time scale was added to the turbulent dissipation equation. Results from the CFD calculations were compared to experimental data. For the two-burner test cases under study, the standard k-epsilon model diffuses the swirl and axial momentum, which results in the inconsistent prediction of the location of the recirculation zone for both burner test cases. However, the modified k-epsilon model shows an improved prediction of the location, shape, and size of the primary centerline recirculation zone for both cases. The large swirl and axial velocity gradients, which are diffused by the standard k-epsilon; model, are preserved by the modified model, and good agreements were obtained between the calculated and measured axial and swirl velocities. The overprediction of turbulent eddy viscosity in regions of high shear, which is characteristic of the standard k-epsilon model, is controlled by the modified turbulence model.
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Choi, Sung-Woong, Hyoung-Seock Seo, and Han-Sang Kim. "Analysis of Flow Characteristics and Effects of Turbulence Models for the Butterfly Valve." Applied Sciences 11, no. 14 (July 8, 2021): 6319. http://dx.doi.org/10.3390/app11146319.

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In the present study, the flow characteristics of butterfly valves with different sizes DN 80 (nominal diameter: 76.2 mm), DN 262 (nominal diameter: 254 mm), DN 400 (nominal diameter: 406 mm) were numerically investigated under different valve opening percentages. Representative two-equation turbulence models of two-equation k-epsilon model of Launder and Sharma, two-equation k-omega model of Wilcox, and two-equation k-omega SST model of Menter were selected. Flow characteristics of butterfly valves were examined to determine turbulence model effects. It was determined that increasing turbulence effect could cause many discrepancies between turbulence models, especially in areas with large pressure drop and velocity increase. In addition, sensitivity analysis of flow properties was conducted to determine the effect of constants used in each turbulence model. It was observed that the most sensitive flow properties were turbulence dissipation rate (Epsilon) for the k-epsilon turbulence model and turbulence specific dissipation rate (Omega) for the k-omega turbulence model.
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Phapatarinan, Satapan, Eakarach Bumrungthaichaichan, and Santi Wattananusorn. "A suitable k-epsilon model for CFD simulation of pump-around jet mixing tank with moderate jet reynolds number." MATEC Web of Conferences 192 (2018): 03010. http://dx.doi.org/10.1051/matecconf/201819203010.

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This paper presents the appropriate turbulence model for predicting the overall mixing time inside an open 45° inclined side entry pump-around jet mixing tank with moderate jet Reynolds number of about 17,515. The model was carefully developed by using appropriate hexahedral grid arrangement and proper numerical methods. The two different k-epsilon turbulence models, including realizable k-epsilon model and low Reynolds number k-epsilon model, were simulated. The overall mixing times predicted by these turbulence models were compared with the previous data reported by Patwardhan (Chem. Eng. Sci. 57 (2002) 1307-1318). The results revealed that the low Reynolds number k-epsilon model was a suitable model for predicting the overall mixing time of jet mixing tank with moderate jet Reynolds number.
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WU, ZI-NIU, and SONG FU. "POSITIVITY OF k-EPSILON TURBULENCE MODELS FOR INCOMPRESSIBLE FLOW." Mathematical Models and Methods in Applied Sciences 12, no. 03 (March 2002): 393–406. http://dx.doi.org/10.1142/s0218202502001702.

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The k-epsilon turbulence model for incompressible flow involves two advection–diffusion equations plus point-source terms. We propose a new method for positivity analysis. This method uses an iterative procedure combined with an operator splitting. With this method we recover the well-known positivity result for the standard high Reynolds number model. Most importantly, we are able to prove the positivity result for general low Reynolds number k-epsilon models.
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Pelletier, D., and F. Ilinca. "Adaptive Remeshing for the k-Epsilon Model of Turbulence." AIAA Journal 35, no. 4 (April 1997): 640–46. http://dx.doi.org/10.2514/2.184.

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Bernard, Peter S. "Limitations of the near-wall k-epsilon turbulence model." AIAA Journal 24, no. 4 (April 1986): 619–22. http://dx.doi.org/10.2514/3.9316.

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Pelletier, D., and F. Ilinca. "Adaptive remeshing for the k-epsilon model of turbulence." AIAA Journal 35 (January 1997): 640–46. http://dx.doi.org/10.2514/3.13560.

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Karimpour, Farid, and Subhas K. Venayagamoorthy. "Some insights for the prediction of near-wall turbulence." Journal of Fluid Mechanics 723 (April 16, 2013): 126–39. http://dx.doi.org/10.1017/jfm.2013.117.

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AbstractIn this paper, we revisit the eddy viscosity formulation to highlight a number of important issues that have direct implications for the prediction of near-wall turbulence. For steady wall-bounded turbulent flows, we make the equilibrium assumption between rates of production ($P$) and dissipation ($\epsilon $) of turbulent kinetic energy ($k$) in the near-wall region to propose that the eddy viscosity should be given by ${\nu }_{t} \approx \epsilon / {S}^{2} $, where $S$ is the mean shear rate. We then argue that the appropriate velocity scale is given by $\mathop{(S{T}_{L} )}\nolimits ^{- 1/ 2} {k}^{1/ 2} $ where ${T}_{L} = k/ \epsilon $ is the turbulence (decay) time scale. The difference between this velocity scale and the commonly assumed velocity scale of ${k}^{1/ 2} $ is subtle but the consequences are significant for near-wall effects. We then extend our discussion to show that the fundamental length and time scales that capture the near-wall behaviour in wall-bounded shear flows are the shear mixing length scale ${L}_{S} = \mathop{(\epsilon / {S}^{3} )}\nolimits ^{1/ 2} $ and the mean shear time scale $1/ S$, respectively. With these appropriate length and time scales (or equivalently velocity and time scales), the eddy viscosity can be rewritten in the familiar form of the $k$–$\epsilon $ model as ${\nu }_{t} = \mathop{(1/ S{T}_{L} )}\nolimits ^{2} {k}^{2} / \epsilon $. We use the direct numerical simulation (DNS) data of turbulent channel flow of Hoyas & Jiménez (Phys. Fluids, vol. 18, 2006, 011702) and the turbulent boundary layer flow of Jiménez et al. (J. Fluid Mech. vol. 657, 2010, pp. 335–360) to perform ‘a priori’ tests to check the validity of the revised eddy viscosity formulation. The comparisons with the exact computations from the DNS data are remarkable and highlight how well the equilibrium assumption holds in the near-wall region. These findings could prove to be useful in near-wall modelling of turbulent flows.
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Azorakos, Georgios, Bjarke Eltard Larsen, and David R. Fuhrman. "NEW METHODS FOR STABILIZING RANS TURBULENCE MODELS WITH APPLICATION TO LARGE SCALE BREAKING WAVES." Coastal Engineering Proceedings, no. 36v (December 28, 2020): 19. http://dx.doi.org/10.9753/icce.v36v.waves.19.

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Recently, Larsen and Fuhrman (2018) have shown that seemingly all commonly used (both k-omega and k-epsilon variants) two-equation RANS turbulence closure models are unconditionally unstable in the potential flow beneath surface waves, helping to explain the wide-spread over-production of turbulent kinetic energy in CFD simulations, relative to measurements. They devised and tested a new formally stabilized formulation of the widely used k-omega turbulence model, making use of a modified eddy viscosity. In the present work, three new formally-stable k-omega turbulence model formulations are derived and tested in CFD simulations involving the flow and dynamics beneath large-scale plunging breaking waves.Recorded Presentation from the vICCE (YouTube Link): https://youtu.be/T2fFRgq3I8E
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Dissertations / Theses on the topic "K-epsilon turbulence model"

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Baschetti, Serafina. "A new modelling of the cross-field transport in diverted edge plasma : application to 2D transport simulations with SolEdge2D-EIRENE." Electronic Thesis or Diss., Ecole centrale de Marseille, 2019. http://www.theses.fr/2019ECDM0009.

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Le fonctionnement à l'équilibre du réacteur à fusion de prochaine génération, ITER, nécessitera le développement d'outils numériques fiables permettant d'estimer les paramètres d'ingénierie clés à un coût de calcul raisonnable. Les codes de transport répondent à cette exigence car ils reposent sur des équations fluides bidimensionnelles qui sont moyennées sur les fluctuations temporelles, de la même manière que les modèles « Reynolds Averaged Navier-Stokes » couramment utilisés dans la communauté des fluides neutres. De plus, les codes de transport peuvent rassembler la plupart des ingrédients physiques régissant le comportement du plasma de bord, ainsi que une topologie magnétique réaliste et la géométrie du mur. Cependant, leur prévisibilité est limitée par une description inadéquate des flux turbulents perpendiculaires aux lignes de champ magnétique, qui influent fortement e confinement du plasma sur de longues périodes. En effet les flux perpendiculaires, supposés diffusifs, sont grossièrement déterminés par des coefficients de diffusion homogènes ou "ad-hoc", ou par des procédures à boucle de rétroaction appliquées "a-posteriori" à des données expérimentales. Motivés par ces questions, nous présentons dans ce travail un nouveau modèle pour estimer de manière cohérente la distribution des flux perpendiculaires dans les codes de transport, lorsque les plasmas en régime permanent sont concernés. La stratégie consiste à introduire des outils numériques efficaces largement utilisés dans la communauté de la turbulence neutre en physique des plasmas. Deux concepts clés sont inspirants dans la communauté des fluides neutres. Le premier est "l'hypothèse de Boussinesq". Elle consiste à linéariser le tenseur de contraintes de Reynolds dansl'équation de Navier-Stokes moyennée dans le temps via une relation de diffusion dans laquelle le terme de proportionnalité est appelé « eddy viscosity ». Le deuxième concept est le modèle "k-epsilon", dans lequel les équations de transport pour l'énergie turbulente cinétique moyenne et le taux d'échange d'énergie entre les structures turbulentes sont conçues de manière semi-empirique. A l'équilibre, k et epsilon permettent une estimation auto-cohérente de l’« eddy viscosity », intégrant ainsi l'impact de la turbulence sur les flux moyennés à l'état d'équilibre. Ces concepts ne peuvent pas être appliqués directement pour enrichir la modélisation des flux perpendiculaires dans les plasmas en raison de différentes propriétés de turbulence. Par conséquent, nous suggérons une adaptation du modèle k-epsilon pour les flux neutres à des plasmas à confinement magnétique, où deux équations de transport pour l’énergie cinétique turbulente et son taux de dissipation sont dérivées algébriquement, y compris la physique de l’instabilité d’interchange linéaire, responsable de la distribution "ballonnée" du transport perpendiculaire dans le bord du plasma. Différentes approches sont décrites pour fermer les paramètres libres : premièrement, une procédure de boucle de rétroaction pour optimiser les résultats numériques comparés avec un test expérimental. Ensuite, on assume une loi d'échelle de référence pour la largeur du profil de flux de chaleur dans la SOL, déterminée empiriquement à partir des mesures expérimentales du flux de chaleur sur le divertor externe dans diverses machines. Le nouveau modèle est intégré au package de transport SolEdge2D-EIRENE, développé en collaboration entre le CEA et le laboratoire M2P2 de l'Université d'Aix-Marseille. Les résultats numériques à l’état d’équilibre sont discutés et on démontre qu’ils se comparent favorablement aux données expérimentales soit à l'outer midplane que au divertor externe. De plus, on montre que les distributions de diffusivité présentent des asymétries poloïdales cohérentes avec la distribution "ballonnée" du transport perpendiculaire observée dans les mêmes conditions dans les codes de premier principe et les expériences
Steady-state operations of the next-generation fusion device ITER will require the development of reliable numerical tools to estimate key engineering parameters suitable for technological constraints at reasonable computational cost.So-called transport codes fulfil this requirement since they rely on 2D fluid equations averaged over time fluctuations, similarly to Reynolds Averaged Navier-Stokes models commonly used for engineering applications in the neutral fluid community. Furthermore, transport codes can gather most of the physical ingredients ruling the edge plasma behaviour, as well as realistic magnetic topology and wall geometry. However, their predictability is limited by a crude description of turbulent fluxes perpendicular to the magnetic field lines. In the plasma community, a special concern is devoted to acquire a detailed understanding of these fluxes, since they strongly impact on the power extraction and the confinement of plasma over extended periods of time. In transport codes though, turbulent fluxes, which are assumed diffusive, are crudely determined by either homogeneous, or ad-hoc diffusive coefficients, or feedback-loop procedures applied a-posteriori on experimental data.Motivated by these issues, in this work we introduce step-by-step a new approach with the aim to self-consistently estimate the distribution of turbulent fluxes in transport codes, when steady-state plasmas are concerned. The underlying strategy is inspired by the work done from the 60’s in neutral turbulence and adapted here to plasma for fusion applications.The first key concept is the Boussinesq assumption. It consists in assuming a colinearity between the Reynolds stress tensor - which represents the contribution of turbulence to the mean flow - and the mean rate of strain tensor - expressed by the gradient of the mean velocity through a coefficient: the so-called eddy-viscosity. The second concept is to express this new eddy viscosity coefficient as a function of characteristic turbulence quantities. We have focused here on the most popular in Computational Fluid Dynamics, the κ-ε model, where transport equations for the averaged kinetic turbulent energy and the turbulence dissipation rate are designed semi-empirically. Steady-state κ and ε allow for a self-consistent estimation of the eddy-viscosity coefficient, thus including the impact of turbulence in steady-state mean flows. We propose a κ-ε -like model where two transport equations for turbulent kinetic energy and its dissipation rate are derived algebraically, including the physics of the linear interchange instability. For the numerical implementation, we exploit the flexibility of the transport package SolEdge2D-EIRENE, developed for many years through the collaboration of the IRFM at the CEA and the laboratory M2P2 at Aix-Marseille University.Since the new model is semi-empirical, it presents some free parameters to be closed. In this work, we have proposed different approaches. In particular, in order to increase the predictive capabilities of the model, a reference scaling law for the width of the heat-flux profile in the scrape-off layer has been assumed, empirically determined from the experimental measurements of the outer target heat load in various machines. The new model is integrated in SolEdge2D-EIRENE for simulations with diverted plasma in TCV and WEST-like geometries, for L-mode discharges. Steady-state results are discussed and shown to favourably compare with experimental data at both the outer mid-plane and the outer divertor. Moreover, self-consistent distributions of diffusivities are shown to exhibit poloidal asymmetries consistently with the ballooned distribution of cross-field transport due to the interchange instability and observed at the same conditions in both first-principle codes and experiments
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Relation, Heather L. "Application of a modified k-[epsilon] turbulence model to gas turbine combustor geometries." Thesis, This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-10312009-020353/.

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Ngo, Tuan Anh. "Numerical solution of turbulent flow past a backward facing step using a nonlinear K-epsilon model." Thesis, Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/17505.

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Hammami, Tammam. "Contribution à la modélisation de la turbulence en convection naturelle." Cergy-Pontoise, 2004. http://biblioweb.u-cergy.fr/theses/04CERG0332.pdf.

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La modélisation dite "bi-couche" est un concept relativement nouveau. Elle consiste à scinder l'écoulement turbulent en deux couches et à modéliser la zone près de la paroi à l'aide d'un modèle simplifié ; par ailleurs, on utilise un modèle d'ordre élevé pour la zone externe. Cette approche, déjà expérimentée en convection forcée, prédit une meilleure physique de l'écoulement pariétal, mais permet aussi une réduction considérable de l'effort de calcul. Nous nous efforçons dans ce travail à développer d'avantage ce concept. Notre contribution sur l'analyse de la couche limite en convection natuelle se base sur les résultats récents des DNS des écoulements dans un canal ainsi que sur l'expérience de la couche limite sur une paroi verticale. Un modèle simplifié de la turbulence en zone pariétale est ainsi mise au point. Par la suite, le modèle développé est combiné avec un modèle de type k-ε bas-Reynolds dans une approche "bi-couche" pour la simulation de diverses configurations simples
A two-layer modeling is a relatively new concept. It consists of divinding the turbulent flow into two regions so as to model the near wall zone using a simplified model whereas the bulk flow could be modelled using any high order modelling. This concept, already tested in forced convection, predicts better physics of near wall flow but allows also a substantial reduction in calculation effort. This work aims to develop this concept. The contribution in the analysis of boundary layer of natual convection flow is based on recent results of several DNS of flow in a channel along with measures performed for boundary layer developing on heated vertical wall. A simplified model is thus adjusted and combined with k-epsilon to simulate various and simple configurations
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Genc, Balkan Ziya. "Implementation And Comparison Of Turbulence Models On A Flat Plate Problem Using A Navier-stokes Solver." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1096668/index.pdf.

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For turbulent flow calculations, some of the well-known turbulence models in the literature are applied on a previously developed Navier-Stokes solver designed to handle laminar flows. A finite volume formulation, which is cell-based for inviscid terms and cell-vertex for viscous terms, is used for numerical discretization of the Navier-Stokes equations in conservative form. This formulation is combined with one-step, explicit time marching Lax-Wendroff numerical scheme that is second order accurate in space. To minimize non-physical oscillations resulting from the numerical scheme, second and fourth order artificial smoothing terms are added. To increase the convergence rate of the solver, local time stepping technique is applied. Before applying turbulence models, Navier-Stokes solver is tested for a case of subsonic, laminar flow over a flat plate. The results are in close agreement with Blasius similarity solutions. To calculate turbulent flows, Boussinesq eddy-viscosity approach is utilized. The eddy viscosity (also called turbulent viscosity), which arises as a consequence of this approach, is calculated using Cebeci-Smith, Michel et. al., Baldwin-Lomax, Chien&rsquo
s k-epsilon and Wilcox&rsquo
s k-omega turbulence models. To evaluate the performances of these turbulence models and to compare them with each other, the solver has been tested for a case of subsonic, laminar - transition fixed - turbulent flow over a flat plate. The results are verified by analytical solutions and empirical correlations.
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Landázuri, Andrea Carolina. "Aerosol Transport Simulations in Indoor and Outdoor Environments using Computational Fluid Dynamics (CFD)." Diss., The University of Arizona, 2016. http://hdl.handle.net/10150/612539.

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This dissertation focuses on aerosol transport modeling in occupational environments and mining sites in Arizona using computational fluid dynamics (CFD). The impacts of human exposure in both environments are explored with the emphasis on turbulence, wind speed, wind direction and particle sizes. Final emissions simulations involved the digitalization process of available elevation contour plots of one of the mining sites to account for realistic topographical features. The digital elevation map (DEM) of one of the sites was imported to COMSOL MULTIPHYSICS® for subsequent turbulence and particle simulations. Simulation results that include realistic topography show considerable deviations of wind direction. Inter-element correlation results using metal and metalloid size resolved concentration data using a Micro-Orifice Uniform Deposit Impactor (MOUDI) under given wind speeds and directions provided guidance on groups of metals that coexist throughout mining activities. Groups between Fe-Mg, Cr-Fe, Al-Sc, Sc-Fe, and Mg-Al are strongly correlated for unrestricted wind directions and speeds, suggesting that the source may be of soil origin (e.g. ore and tailings); also, groups of elements where Cu is present, in the coarse fraction range, may come from mechanical action mining activities and saltation phenomenon. Besides, MOUDI data under low wind speeds (<2 m/s) and at night showed a strong correlation for particles 1-micrometer in diameter between the groups: Sc-Be-Mg, Cr-Al, Cu-Mn, Cd-Pb-Be, Cd-Cr, Cu-Pb, Pb-Cd, As-Cd-Pb. The As-Cd-Pb group correlates strongly in almost all ranges of particle sizes. When restricted low wind speeds were imposed more groups of elements are evident and this may be justified with the fact that at lower speeds particles are more likely to settle. When linking these results with CFD simulations and Pb-isotope results it is concluded that the source of elements found in association with Pb in the fine fraction come from the ore that is subsequently processed in the smelter site, whereas the source of elements associated to Pb in the coarse fraction is of different origin. CFD simulation results will not only provide realistic and quantifiable information in terms of potential deleterious effects, but also that the application of CFD represents an important contribution to actual dispersion modeling studies; therefore, Computational Fluid Dynamics can be used as a source apportionment tool to identify areas that have an effect over specific sampling points and susceptible regions under certain meteorological conditions, and these conclusions can be supported with inter-element correlation matrices and lead isotope analysis, especially since there is limited access to the mining sites. Additional results concluded that grid adaption is a powerful tool that allows to refine specific regions that require lots of detail and therefore better resolve flow detail, provides higher number of locations with monotonic convergence than the manual grids, and requires the least computational effort. CFD simulations were approached using the k-epsilon model, with the aid of computer aided engineering software: ANSYS® and COMSOL MULTIPHYSICS®. The success of aerosol transport simulations depends on a good simulation of the turbulent flow. A lot of attention was placed on investigating and choosing the best models in terms of convergence, independence and computational effort. This dissertation also includes preliminary studies of transient discrete phase, eulerian and species transport modeling, importance of saltation of particles, information on CFD methods, and strategies for future directions that should be taken.
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Pakala, Akshay Kumar. "Aerodynamic Analysis of Conventional and Spherical Tires." University of Akron / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=akron1606237030779529.

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Knopp, Tobias. "Finite element simulation of buoyancy-driven turbulent flows." Doctoral thesis, [S.l.] : [s.n.], 2003. http://webdoc.sub.gwdg.de/diss/2003/knopp/knopp.pdf.

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Sinha, Krishnendu. "Analysis of the k-epsilon turbulence models for simulation of compressible flows /." Diss., ON-CAMPUS Access For University of Minnesota, Twin Cities Click on "Connect to Digital Dissertations", 2001. http://www.lib.umn.edu/articles/proquest.phtml.

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Ferreira, Valdemir Garcia. "Análise e implementação de esquemas de convecção e modelos de turbulência para simulação de escoamentos incompressíveis envolvendo superfícies livres." Universidade de São Paulo, 2001. http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14112001-083026/.

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Uma parte significativa dos escoamentos encontrados em aplicações tecnológicas é caracterizada por envolver altos números de Reynolds, principalmente aqueles em regime turbulento e com superfície livre. Obter soluções numéricas representativas para essa classe de problemas é extremamente difícil, devido à natureza não-linear das equações diferenciais parciais envolvidas nos modelos. Conseqüentemente, o tema tem sido uma das principais preocupações da comunidade científica moderna em dinâmica de fluidos computacional. Aproximações de primeira ordem para os termos convectivos são as mais adequadas para amortecer oscilações que estão associadas às aproximações de alta ordem não-limitadas. Todavia, elas introduzem dissipação artificial nas representações discretas comprometendo os resultados numéricos. Para minimizar esse efeito não-físico e, ao mesmo tempo, conseguir aproximações incondicionalmente estáveis, é indispensável adotar uma estratégia que combine aproximações de primeira ordem com as de ordem mais alta e que leve em conta a propagação de informações físicas. Os resultados dessa composição são os esquemas "upwind" limitados de alta ordem. Em geral, espera-se que esses esquemas sejam apropriados para a representação das derivadas convectivas nos modelos de turbulência kappa-varepsilon. No contexto de diferenças finitas, a presente tese dedica-se à solução numérica das equações de Navier-Stokes no regime de números de Reynolds elevados. Em particular, ela contém uma análise de algoritmos monotônicos e antidifusivos e modelos de turbulência kappa-varepsilon para a simulação de escoamentos incompressíveis envolvendo superfícies livres. Esquemas de convecção são implementados nos códigos GENSMAC para proporcionar um tratamento robusto dos termos convectivos nas equações de transporte. Duas versões do modelo kappa-varepsilon de turbulência são implementadas nos códigos GENSMAC, para problems bidimensionais e com simetria radial, para descrever os efeitos da turbulência sobre o escoamento médio. Resultados numéricos de escoamentos com simetria radial são comparados com resultados experimentais e analíticos. Simulações numéricas de problemas tridimensionais complexos são apresentadas para avaliar o desempenho de esquemas "upwind". Finalmente, os modelos de turbulência kappa-varepsilon são utilizados para a simulação de escoamentos confinados e com superfícies livres.
A considerable part of fluid flows encountered in technological applications is characterised by involving high-Reynolds numbers, especially those in turbulent regime and with free-surface. It is extremely difficult to obtain representative numerical solutions for this class of problems, due to the non-linear nature of the partial differential equations involved in the models. Consequently, this subject has been one of main concerns in the modern computational fluid dynamics community. First-order approximation to the convective terms is one of the most appropriate to smooth out oscilations/instabilities which are associated with high-order unlimited approximation. However, it introduces numerical dissipation in the discrete representation jeopardizing the numerical results. In order to minimize this non-physical effect and, at the same time, to obtain unconditionally stable approximation, it is essential to adopt a strategy that combines first and high-order approximations and takes into account the propagation of physical information. The results of this composition are the high-order bounded upwind techniques. In general, it is expected that these algorithms are satisfactory for the representation of the convective derivatives in the kappa-varepsilon turbulence model. In the context of finite-difference, the present thesis deals with the numerical solution of the Navier-Stokes equations at high-Reynolds number regimes. In particular, it contains an analysis of monotonic and anti-difusive convection schemes and kappa-varepsilon turbulence models for the simulation of free-surface fluid flows. Upwinding methods are implemented into the GENSMAC codes to provide a robust treatment of the convective terms in the transport equations. Two versions of the K-Epsilon turbulence model are implemented into the two-dimensional and axisymmetric GENSMAC codes, in order to describe the turbulent effects on the average flow. Numerical results of axisymmetric flows are compared with experimental and analytical results. Numerical simulations of complex three-dimensional problems are presented to assess the performance of high-order bounded upwind schemes. Finally, the K-Epsilon turbulence models are employed in the simulation of confined and free-surface flows.
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Books on the topic "K-epsilon turbulence model"

1

Mohammadi, B. Analysis of the K-epsilon turbulence model. Chichester: Wiley, 1993.

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Nikjooy, Mohammad. K-epsilon turbulence model assessment with reduced numerical diffusion for coaxial jets. New York: AIAA, 1988.

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Speziale, Charles G. Numerical solution of turbulent flow past a backward facing step using a nonlinear K-epsilon model. Hampton, Va: ICASE, 1987.

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Chu, Chiang. Calculations of diffuser flows with an anisotropic K-[epsilon] model. [Washington, DC]: National Aeronautics and Space Administration, 1995.

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Zhu, Jiang. Calculations of diffuser flows with an anisotropic K-[epsilon] model. [Washington, DC]: National Aeronautics and Space Administration, 1995.

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Bernard, Peter S. Bounded energy states in homogeneous turbulent shear flow, an alternative view. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1990.

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Lee, J. An application of a two-equation model of turbulence to three-dimensional chemically reacting flows. [Washington, DC: National Aeronautics and Space Administration, 1994.

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Lee, J. An application of a two-equation model of turbulence to three-dimensional chemically reacting flows. [Washington, DC: National Aeronautics and Space Administration, 1994.

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Abdol-Hamid, Khaled S. Application of Navier-Stokes code PAB3D with k-e turbulence model to attached and separated flows. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1995.

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Abdol-Hamid, Khaled S. Application of Navier-Stokes code PAB3D with k-e turbulence model to attached and separated flows. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1995.

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Book chapters on the topic "K-epsilon turbulence model"

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Sethuramalingam, Ramamoorthy, and Abhishek Asthana. "Design Improvement of Water-Cooled Data Centres Using Computational Fluid Dynamics." In Springer Proceedings in Energy, 105–13. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63916-7_14.

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AbstractData centres are complex energy demanding environments. The number of data centres and thereby their energy consumption around the world is growing at a rapid rate. Cooling the servers in the form of air conditioning forms a major part of the total energy consumption in data centres and thus there is an urgent need to develop alternative energy efficient cooling technologies. Liquid cooling systems are one such solution which are in their early developmental stage. In this article, the use of Computational Fluid Dynamics (CFD) to further improve the design of liquid-cooled systems is discussed by predicting temperature distribution and heat exchanger performance. A typical 40 kW rack cabinet with rear door fans and an intermediate air–liquid heat exchanger is used in the CFD simulations. Steady state Reynolds-Averaged Navier–Stokes modelling approach with the RNG K-epsilon turbulence model and the Radiator boundary conditions were used in the simulations. Results predict that heat exchanger effectiveness and uniform airflow across the cabinet are key factors to achieve efficient cooling and to avoid hot spots. The fundamental advantages and limitations of CFD modelling in liquid-cooled data centre racks were also discussed. In additional, emerging technologies for data centre cooling have also been discussed.
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Mohammadi, Bijan. "Turbulent Compressible 2D and Axisymmetric Flows Computation with the K-Epsilon Model." In Hypersonic Flows for Reentry Problems, 307–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-77922-0_32.

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Caillet, Hélène, Alain Bastide, and Laetitia Adelard. "CFD Simulations in Mechanically Stirred Tank and Flow Field Analysis: Application to the Wastewater (Sugarcane Vinasse) Anaerobic Digestion." In Wastewater Treatment [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.93926.

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Anaerobic digestion is a widely used process for waste treatment and energy production. This natural process takes place in a controlled environment, anaerobic digesters. Mixing is one of the main operating parameters. The understanding of the flows during the agitation of the medium is crucial for the optimization of the process yield. In fact, the mass and heat transfers are enhanced by the agitation. However, the complex biochemical reactions can be inhibited with overly vigorous agitation. A detailed and in-depth understanding of the phenomena occurring during agitation requires modeling studies. In this chapter, we propose a general approach, based on computational fluid mechanics (CFD), to analyze the mechanical mixing of an anaerobic reactor. We apply this work to the anaerobic digestion of the sugarcane vinasse, which is a liquid waste generated during the production of alcohol. The single-phase Reynolds-averaged Navier-Stokes (RANS) simulations of mechanical agitation of Newtonian fluids for different rotational speeds are presented. The equations system is closed with the standard k-epsilon turbulence model. The flow field is analyzed with the velocity profiles, the Q and Lambda2 fields, the pressure and the vorticity.
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Ketut Aria Pria Utama, I., I. Ketut Suastika, and Muhammad Luqman Hakim. "The Phenomenon of Friction Resistance Due to Streamwise Heterogeneous Roughness with Modified Wall-Function RANSE." In Computational Fluid Dynamics [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.99137.

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Surface roughness can reduce the performance of a system of fluid mechanics due to an increase in frictional resistance. The ship hull, which is overgrown by biofouling, experiences a drag penalty which causes energy wastage and increased emission levels. The phenomenon of fluid flow that passes over a rough surface still has many questions, one of which is the phenomenon of frictional resistance on heterogeneous roughness in the streamwise direction. In the ship hull, biofouling generally grows heterogeneous along the hull with many factors. RANSE-based Computational Fluid Dynamics was used to investigate the friction resistance for heterogeneous roughness phenomenon. The modified wall-function method represented equivalent sand grain roughness (ks) and a roughness function were applied together with k-epsilon turbulence model to simulate rough wall turbulent boundary layer flow. As the heterogeneous roughness, three different ks values were denoted as P (ks = 81.25 μm), Q (ks = 325.00 μm) and R (ks = 568.75 μm), and they are arranged by all possible combinations. The combined roughness, whether homogeneous (PPP, QQQ, or RRR) and inhomogeneous (PQR, PRQ, QPR, etc.), results in unique skin friction values. The step-change in the height of the heterogeneous roughness produced a sudden change in the local skin friction coefficient in the form of overshoot or undershoot, followed by a relaxation where the inhomogeneous local skin friction is slowly returning to the homogeneous local one, which was explained in more detail by plotting the distribution of the mean velocity profile near the step-up or step-down. The order of roughness arrangement in a streamwise heterogenous roughness pattern plays a key role in generating overall skin friction with values increasing in the following order: PQR < PRQ < QPR < QRP < RPQ < RQP. Those inhomogeneous cases with three different values of ks can be represented by a single value (being like homogeneous) by the calculations provided in this paper.
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Conference papers on the topic "K-epsilon turbulence model"

1

Sondak, Douglas. "Parallel implementation of the k-epsilon turbulence model." In 32nd Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-758.

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GOLDBERG, URIEL, and SEKARIPURAM RAMAKRISHNAN. "Flowfield predictions with a hybrid k-epsilon/k-L turbulence model." In 10th Applied Aerodynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1992. http://dx.doi.org/10.2514/6.1992-2645.

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Pelletier, D., and F. Ilinca. "Adaptive remeshing for the k-epsilon model of turbulence." In 32nd Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-818.

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Bailly, C., W. Bechara, P. Lafon, and S. Candel. "Jet noise predictions using a k-epsilon turbulence model." In 15th Aeroacoustics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1993. http://dx.doi.org/10.2514/6.1993-4412.

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LOWRIE, BETH. "A multi-zone k-epsilon turbulence model for complex configurations." In 26th Joint Propulsion Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1990. http://dx.doi.org/10.2514/6.1990-2001.

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Chitsomboon, Tawit. "Improved artificial viscosity for high-Reynolds-number k-epsilon turbulence model." In Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2166.

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Chylek, T., L. Balakrishnan, and S. Tiwari. "Investigation of turbulent separation at wing-body junction using nonlinear k-epsilon turbulence model." In 34th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-430.

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NIKJOOY, M., K. KARKI, H. MONGIA, V. MCDONELL, and G. SAMUELSEN. "K-epsilon turbulence model assessment with reduced numerical diffusion for coaxial jets." In 26th Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1988. http://dx.doi.org/10.2514/6.1988-342.

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Ilinca, F., D. Pelletier, F. Ilinca, and D. Pelletier. "Positivity preservation and adaptive solution for the k-epsilon model of turbulence." In 35th Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-205.

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Di Caro, Richard, Alexander Hay, Stephane Etienne, and Dominique Pelletier. "Continuous Shape Sensitivity Equation Method for the k-epsilon Model of Turbulence." In 45th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-518.

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