Relevant bibliographies by topics / Statistical approach to fluid mechanics

Academic literature on the topic 'Statistical approach to fluid mechanics'

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Published: 7 July 2024
Last updated: 7 July 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Journal articles on the topic "Statistical approach to fluid mechanics":

1

Peng, X. F., Y. Tien, and D. J. Lee. "Bubble nucleation in microchannels: statistical mechanics approach." International Journal of Heat and Mass Transfer 44, no. 15 (August 2001): 2957–64. http://dx.doi.org/10.1016/s0017-9310(00)00323-9.

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Venaille, A., L. Gostiaux, and J. Sommeria. "A statistical mechanics approach to mixing in stratified fluids." Journal of Fluid Mechanics 810 (December 1, 2016): 554–83. http://dx.doi.org/10.1017/jfm.2016.721.

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Predicting how much mixing occurs when a given amount of energy is injected into a Boussinesq fluid is a long-standing problem in stratified turbulence. The huge number of degrees of freedom involved in these processes renders extremely difficult a deterministic approach to the problem. Here we present a statistical mechanics approach yielding a prediction for a cumulative, global mixing efficiency as a function of a global Richardson number and the background buoyancy profile. Assuming random evolution through turbulent stirring, the theory predicts that the inviscid, adiabatic dynamics is attracted irreversibly towards an equilibrium state characterised by a smooth, stable buoyancy profile at a coarse-grained level, upon which are fine-scale fluctuations of velocity and buoyancy. The convergence towards a coarse-grained buoyancy profile different from the initial one corresponds to an irreversible increase of potential energy, and the efficiency of mixing is quantified as the ratio of this potential energy increase to the total energy injected into the system. The remaining part of the energy is lost into small-scale fluctuations. We show that for sufficiently large Richardson number, there is equipartition between potential and kinetic energy, provided that the background buoyancy profile is strictly monotonic. This yields a mixing efficiency of 0.25, which provides statistical mechanics support for previous predictions based on phenomenological kinematics arguments. In the general case, the cumulative, global mixing efficiency predicted by the equilibrium theory can be computed using an algorithm based on a maximum entropy production principle. It is shown in particular that the variation of mixing efficiency with the Richardson number strongly depends on the background buoyancy profile. This approach could be useful to the understanding of mixing in stratified turbulence in the limit of large Reynolds and Péclet numbers.
3

Becattini, Francesco, Matteo Buzzegoli, and Eduardo Grossi. "Reworking Zubarev’s Approach to Nonequilibrium Quantum Statistical Mechanics." Particles 2, no. 2 (April 8, 2019): 197–207. http://dx.doi.org/10.3390/particles2020014.

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In this work, the nonequilibrium density operator approach introduced by Zubarev more than 50 years ago to describe quantum systems at a local thermodynamic equilibrium is revisited. This method, which was used to obtain the first “Kubo” formula of shear viscosity, is especially suitable to describe quantum effects in fluids. This feature makes it a viable tool to describe the physics of Quark–Gluon Plasma in relativistic nuclear collisions.
4

RICKAYZEN, GERALD, and JACK G. POWLES. "A collapsing bubble in a fluid: a statistical mechanical approach." Molecular Physics 100, no. 24 (December 20, 2002): 3823–28. http://dx.doi.org/10.1080/0026897021000016693.

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Zhou, Shiqi. "Statistical mechanics approach to inhomogeneous van der Waals fluids." Molecular Simulation 32, no. 14 (December 2006): 1165–77. http://dx.doi.org/10.1080/08927020601071740.

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Shi-Qi, Zhou, Chen Hong, Ling Si-Li, Xiang Xian-Wei, and Zhang Xiao-Qi. "Statistical Mechanics Approach for Uniform and Non-uniform Fluid with Hard Core and Interaction Tail." Communications in Theoretical Physics 39, no. 3 (March 15, 2003): 331–36. http://dx.doi.org/10.1088/0253-6102/39/3/331.

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Alastuey, A. "Statistical Mechanics of Quantum Plasmas Path Integral Formalism." International Astronomical Union Colloquium 147 (1994): 43–77. http://dx.doi.org/10.1017/s0252921100026312.

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AbstractIn this review, we consider a quantum Coulomb fluid made of charged point particles (typically electrons and nuclei). We describe various formalisms which start from the first principles of statistical mechanics. These methods allow systematic calculations of the equilibrium quantities in some particular limits. The effective-potential method is evocated first, as well as its application to the derivation of low-density expansions. We also sketch the basic outlines of the standard many-body perturbation theory. This approach is well suited for calculating expansions at high density (for Fermions) or at high temperature. Eventually, we present the Feynman-Kac path integral representation which leads to the introduction of an auxiliary classical system made of extended objects, i.e., filaments (also called “polymers”). The familiar Abe-Meeron diagrammatic series are then generalized in the framework of this representation. The truncations of the corresponding virial-like expansions provide equations of state which are asymptotically exact in the low-density limit at fixed temperature. The usefulness of such equations for describing the inner regions of the sun is briefly illustrated.
8

Brandyshev, Petr E., and Yury A. Budkov. "Statistical field theory of mechanical stresses in Coulomb fluids: general covariant approach vs Noether’s theorem." Journal of Statistical Mechanics: Theory and Experiment 2023, no. 12 (December 1, 2023): 123206. http://dx.doi.org/10.1088/1742-5468/ad0f8e.

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Abstract In this paper, we introduce a statistical field theory that describes the macroscopic mechanical forces in inhomogeneous Coulomb fluids. Our approach employs the generalization of Noether’s first theorem for the case of a fluctuating order parameter to calculate the stress tensor for Coulomb fluids. This tensor encompasses the mean-field stress tensor and fluctuation corrections derived through the one-loop approximation. The correction for fluctuations includes a term that accounts for the thermal fluctuations of the local electrostatic potential and field in the vicinity of the mean-field configuration. This correlation stress tensor determines how electrostatic correlation affects local stresses in a nonuniform Coulomb fluid. We also use a previously formulated general covariant methodology (Brandyshev and Budkov 2023 J. Chem. Phys. 158 174114) in conjunction with a functional Legendre transformation method and derive within it the same total stress tensor. We would like to emphasize that our general approaches are applicable not only to Coulomb fluids but also to nonionic simple or complex fluids, for which the field-theoretic Hamiltonian is known as a function of the relevant scalar order parameters.
9

Saeed Shahsavari, Mehran Moradi, and Pooya Torkaman. "A Quasi-Statistical Approach to the Boltzmann Entropy Equation Based on a Novel Energy Conservation Principle." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 101, no. 2 (January 20, 2023): 99–110. http://dx.doi.org/10.37934/arfmts.101.2.99110.

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Boltzmann entropy equation is gained according to the statistical mechanics directly and general dependence between entropy and probability is obtained. Based on the second law of thermodynamics with a glance at the Boltzmann entropy equation, it can be deduced that physical processes are done in a direction that the probability of the system and total entropy increase. In fact, the possible process performing states and their entropy variations will be determined at a specific energy level. In this paper, an entropy equation is gained by using a new quasi-statistical approach to the physical processes as well as a novel energy conservation principle. The variation of the "energy structure equation”, as an equation to formulate the performed process using activated energy components of the system and their dependence, is studied in different possible paths by using the energy conservation principle directly. Despite the classical mechanics that all particles are studied, in the novel approach, "particular processes" as all processes that have the same active independent energy components are studied at "various conditions"; in other words, all conditions that same energy amount is applied to the system. One of the advantages of this novel approach is that the volume of the needed calculations will be decreased mainly in comparison with the Boltzmann entropy equation. Dependence of the entropy and rate of the energy components is gained from the novel energy conservation principle. The gained relation, expressed by energy components of the system, is considered with no constraints on the structure of the system but has a common basis with the Boltzmann entropy equation. In fact, by using a novel macroscopic-statistical approach, the entropy variation of a physical system is studied.
10

ALDROVANDI, R., R. R. CUZINATTO, and L. G. MEDEIROS. "INTERACTING CONSTITUENTS IN COSMOLOGY." International Journal of Modern Physics D 17, no. 06 (June 2008): 857–79. http://dx.doi.org/10.1142/s0218271808012541.

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Universe evolution, as described by Friedmann's equations, is determined by source terms fixed by the choice of pressure × energy density equations of state p(ρ). The usual approach in cosmology considers equations of state accounting only for kinematic terms, ignoring the contribution from the interactions between the particles constituting the source fluid. In this work the importance of these neglected terms is emphasized. A systematic method, based on the statistical mechanics of real fluids, is proposed to include them. A toy model is presented which shows how such interaction terms could be applied to engender significant cosmological effects.
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You might also be interested in the extended bibliographies on the topic 'Statistical approach to fluid mechanics' for particular source types:
Journal articles Dissertations / Theses Books

Dissertations / Theses on the topic "Statistical approach to fluid mechanics":

1

Archer, Andrew John. "Statistical mechanics of soft core fluid mixtures." Thesis, University of Bristol, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.288269.

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Fontaine, Côme. "Etude de deux modèles simplifiés de turbulence à l'aide du groupe de renormalisation fonctionnel : l'équation de Burgers et le modèle de Sabra." Electronic Thesis or Diss., Université Grenoble Alpes, 2023. http://www.theses.fr/2023GRALY083.

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Dans cette thèse nous nous intéressons à deux modèles simplifiés décrivant des écoulements turbulents. Dans ces deux modèles, la turbulence est caractérisée par l'invariance d'échelle et des propriétés statistiques universelles, comme observé pour la turbulence hydrodynamique réelle. Ce type de comportement est très familier en physique: il s'agit d'un système critique. Dans cette thèse, nous utilisons un outil très répandu pour l'étude de la criticalité: le groupe de renormalisation fonctionnel (FRG). Le premier modèle, nommé modèle de Sabra, décrit les interactions effectives entre un nombre discret de modes de vitesse d'un fluide turbulent. Cette description schématique conserve beacoup de propriétés essentielles de la turbulence. En particulier, le champ de vitesse est multi-fractal. La façon dont la dynamique engendre cette multi-fractalité est encore mal comprise d'un point de vue théorique. Dans cette thèse, nous formulons un flot de renormalisation inverse, c'est-à-dire intégrant les plus grandes échelles d'abord. Grâce à cette méthode, nous trouvons un point fixe du flot de renormalisation ayant une invariance d'échelle anormale, et relativement proche de la valeur attendue pour certaines observables. Nous montrons que ce point fixe diffère de celui obtenu lorsque toutes les échelles sont forcées, par un forçage avec un spectre en loi de puissance, qui correspond au point fixe du RG obtenu en théorie de perturbation. Le second modèle étudié est l'équation de Burgers, qui décrit la dynamique d'un fluide en l'absence de pression. Nous nous intéressons à l'effet d'un bruit conservatif sur le champ de vitesse. Nous prouvons l'existence d'un régime d'invariance d'échelle avec un exposant critique dynamique z=1 en utilisant une fermeture exacte de l'équation de flot de renormalisation. Cette fermeture est permise par l'existence de certaines symétries de l'équation de Burgers. Ce nouveau régime d'invariance d'échelle avait été observé auparavant dans des solutions numériques de l'équation de Burgers. Nous apportons dans cette thèse une preuve théorique de son existence, et calculons les propriétés universelles associées
In this thesis, we focus on two simplified models describing turbulent flows. In these two models, the turbulent state exhibits scale-invariance and universal statistical properties resembling those of true hydrodynamical turbulence. This type of behaviour is very familiar in physics: it corresponds to a critical system. In this work, we use a widely used tool in the study of criticality: the functional renormalisation group (FRG). The first model, named the Sabra shell model, describes effective interactions among a discrete number of velocity modes of a turbulent fluid. This schematic description captures many essential properties of turbulent flows. In particular, the velocity field is multifractal. The way in which the dynamics generates this multifractality is still poorly understood from a theoretical perspective. In this thesis, we formulate a reverse renormalisation flow, meaning that we integrate out the largest scales first. Using this method, we find a fixed point of the renormalisation flow with anomalous scale invariance, relatively close to the expected value for certain observables. We show that it is clearly distinct from the fixed point obtained when all scales are forced, through a forcing with a power-law spectrum, which corresponds to the fixed point of the RG obtained in perturbation theory. The second model studied is the Burgers equation, which describes the dynamics of a fluid in the absence of pressure. We focus on the effect of a conservative noise on the velocity field. We prove the existence of a scale invariant regime with a critical dynamical exponent z=1 using an exact closure of the renormalisation flow equation. This closure relies on the existence of certain symmetries of the Burgers equation. Indications of the existence of this new scaling regime were previously found in numerical solutions of the Burgers equation. We provide in this thesis a theoretical proof of its existence and calculate the associated universal properties
3

Rossi, Andrea. "Statistical Mechanics Approach to Protein Design." Doctoral thesis, SISSA, 2000. http://hdl.handle.net/20.500.11767/4329.

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The plan of this thesis is the following. In the first chapter we introduce the most important and basic concept related to protein folding and design. In the second chapter, after introducing some standard lattice models of proteins and heteropolymers, the most important methods of protein design present in the literature are described. In the third chapter we will introduce a novel iterative procedure for protein design and it will be applied to lattice protein models [58]. A different approach based on geometrical criterion [49] will also be presented. In the fourth chapter, we will implement an approximated approach in order to design real protein structures [59]. In this case, it has been possible to compare our designed sequences with real sequences, whose native states are known. The good correlation between natural sequences and designed sequences indicates that the method is very promising.
4

Davies, Lowri A. "Selected topics in the statistical mechanics of fluids." Thesis, University of Sheffield, 1997. http://etheses.whiterose.ac.uk/14744/.

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The phase behaviour and thermodynamic properties of simple model mixtures are examined using the statistical associating fluid theory as extended to chain molecules interacting with potentials of variable range (SAFT-VR), and by computer simulation. The SAFT-VR approach is based on an accurate and compact representation of the free energy of chain molecules. We present the SA FT -VR methodology as applied to mixtures of non-conformal molecules. A series of mixing rules are presented, beginning with the van der Waals one-fluid prescription and including more complex treatments. The vapour-liquid equilibria of a mixture consisting of hard spheres and square-well monomers is examined with the SAFT-VR equation of state, together with the liquid-liquid equilibria of a symmetrical square-well mixture with no unlike interactions. Additionally, we examine the vapour-liquid equilibria of a square-well monomer-dimer mixture, composed of equal-sized segments, both with the SAFT-VR approach and by Gibbs ensemble Monte Carlo simulation. The simulation data are used to determine the vapourliquid critical line of the mixture. An extension of the SAFT-VR approach to describe the phase behaviour of chain molecules interacting with a soft repulsive potential and an attractive well of variable range is presented. We focus on the vapour-liquid properties of Lennard-Jones chains using a simple recipe for the evaluation of the chain free energy. We also perform a case study for a specific class of phase equilibria exhibited by binary mixtures, where systems are seen to posses a region of closed-loop immiscibility in their phase diagrams. We examine the nature of this type of pl1ase behaviour using the SA FT· VR equation of state and Gibbs ensemble simulation for a simple model system with an anisotropic bonding site, which is seen to be the governing factor in the appearance of the region of low-temperature miscibility for this system. The model is chosen in order to mimic the physical features of real systems which exhibit this type of re-entrant phase behaviour. The critical regions of this model are examined using a finite-size scaling analysis performed in the semigrand canonical ensemble.
5

Rasmussen, H. O. "The statistical theory of stationery turbulence." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363346.

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Baskaran, Aparna. "Statistical mechanics and linear response for a granular fluid." [Gainesville, Fla.] : University of Florida, 2006. http://purl.fcla.edu/fcla/etd/UFE0013684.

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7

Itami, Masato. "Non-equilibrium Statistical Theory for Singular Fluid Stresses." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215285.

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Parker, Daniel N. "Thermodynamics, reversibility and Jaynes' approach to statistical mechanics." College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3803.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2006.
Thesis research directed by: Philosophy. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
9

Louveau, Joy E. (Joy Emmanuelle). "A statistical mechanics approach to vaccination against HIV." Thesis, Massachusetts Institute of Technology, 2018. http://hdl.handle.net/1721.1/117898.

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Thesis: Ph. D., Harvard-MIT Program in Health Sciences and Technology, 2018.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 75-81).
Most vaccines stimulate the production of antibodies that provide a potent defense upon reinfection by the same strain of pathogen. The key process in antibody development is a stochastic process known as affinity maturation (AM) which generates strain-specific antibodies upon immunization by one antigen. A highly mutable virus like HIV evades recognition by these strain-specific antibodies via the emergence of new mutant strains within the patient. In some chronically infected patients, antibodies that can bind diverse antigens and thus protect against many HIV strains arise naturally; they are named broadly-neutralizing antibodies (bnAbs). A vaccine that elicits bnAbs could prevent HIV infections. This vaccine is expected to contain several different antigens. However, because bnAbs rarely appear in HIV patients, the complex mechanisms by which they emerge are not well understood. Theoretical models of AM could help identify promising vaccination strategies and shed light on a previously ignored problem in basic immunology; meaning how AM works with several antigens. For my thesis I investigated two pathways for breadth evolution. First, motivated by experimental findings that bnAbs have many mutations that may modify the flexibility of the binding region, I examined how flexibility influences breadth. A flexible binding region is expected to enable different conformations and therefore to allow binding to diverse antigens. Towards that goal, I developed a theoretical model of AM which, combined with Molecular Dynamics simulations, suggests that eliciting flexibility-affecting mutations is not essential for the evolution of bnAbs if proper germline B cells are first activated. This is significant as it simplifies the task of immunogen design. For my second project, I studied how separating the different antigens in time and mutational distance affects breadth of binding and antibody titers. The main observation is that introducing the antigens at different times is key to generating breadth. Furthermore, sequentially introducing one antigen per injection yields the greatest breadth and antibody titers. We also devised a prediction tool for breadth given a set of antigens and an immunization protocol. My results suggest optimal vaccination strategies which are expected to guide future in vivo investigations by our collaborators.
by Joy E. Louveau.
Ph. D.
10

Seyedi, Seyedalireza <1980&gt. "Predictability in Social Science, The statistical mechanics approach." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amsdottorato.unibo.it/7199/1/seyedi_seyedalireza_tesi.pdf.

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The subject of this work concerns the study of the immigration phenomenon, with emphasis on the aspects related to the integration of an immigrant population in a hosting one. Aim of this work is to show the forecasting ability of a recent finding where the behavior of integration quantifiers was analyzed and investigated with a mathematical model of statistical physics origins (a generalization of the monomer dimer model). After providing a detailed literature review of the model, we show that not only such a model is able to identify the social mechanism that drives a particular integration process, but it also provides correct forecast. The research reported here proves that the proposed model of integration and its forecast framework are simple and effective tools to reduce uncertainties about how integration phenomena emerge and how they are likely to develop in response to increased migration levels in the future.
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Books on the topic "Statistical approach to fluid mechanics":

1

Monin, A. S. Statistical fluid mechanics: Mechanics of turbulence. Mineola, N.Y: Dover Publications, 2007.

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Barenblatt, G. I. 'Scaling phenomena in fluid mechanics'. Cambridge: Cambridge University Press, 1994.

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Bashkirov, Andrei G. Nonequilibrium statistical mechanics of heterogeneous fluid systems. Boca Raton, FL: CRC Press, 1995.

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G, Sinaĭskiĭ Ė. Statistical microhydrodynamics. Weinheim: Wiley-VCH, 2008.

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Tardu, Sedat. Statistical approach in wall turbulence. London: ISTE, 2011.

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Marquand, C. Thermofluids: An integrated approach to thermodynamics and fluid mechanics. Chichester: J. Wiley, 1994.

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Center, Ames Research, ed. A theoretical approach for analyzing the restabilization of wakes. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1992.

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Center, Ames Research, ed. A theoretical approach for analyzing the restabilization of wakes. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1992.

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Hardy, Robert J. Thermodynamics and statistical mechanics: An integrated approach. Chichester, West Sussex: John Wiley & Sons Inc., 2014.

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Turns, Stephen R. Thermal-fluid sciences: An integrated approach. Cambridge [England]: Cambridge University Press, 2005.

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Book chapters on the topic "Statistical approach to fluid mechanics":

1

Schwabl, Franz. "Irreversibility and the Approach to Equilibrium." In Statistical Mechanics, 475–508. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04702-6_10.

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Bagchi, Biman. "Hydrodynamic Approach to Relaxation Phenomena." In Nonequilibrium Statistical Mechanics, 58–75. Boca Raton: Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003157601-6.

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Phillips, O. M. "Spectral and Statistical Characteristics of Breaking Waves." In Frontiers in Fluid Mechanics, 156–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-46543-7_8.

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Pocheau, A. "Scale Ratios, Statistical Symmetries and Intermittency." In Fluid Mechanics and Its Applications, 239–42. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5118-4_59.

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Heinz, Stefan. "The equations of fluid and thermodynamics." In Statistical Mechanics of Turbulent Flows, 57–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-10022-6_4.

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Bricmont, Jean. "Approach to Equilibrium." In Making Sense of Statistical Mechanics, 205–71. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-91794-4_8.

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Arroyo, P., G. Pedrizzetti, C. Vasco, and J. Jimenez. "Statistical Properties of Decaying Two-Dimensional Turbulence." In Fluid Mechanics and Its Applications, 11–15. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0457-9_3.

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Yakovenko, Victor M. "Econophysics, Statistical Mechanics Approach to." In Complex Systems in Finance and Econometrics, 247–73. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-7701-4_14.

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Yakovenko, Victor M. "Econophysics, Statistical Mechanics Approach to." In Encyclopedia of Complexity and Systems Science, 2800–2826. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_169.

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Yakovenko, Victor M. "Statistical Mechanics Approach to Econophysics." In Encyclopedia of Complexity and Systems Science, 1–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. http://dx.doi.org/10.1007/978-3-642-27737-5_169-2.

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Conference papers on the topic "Statistical approach to fluid mechanics":

1

Ben Mahjoub, O., and A. Ouadoud. "Intermittent Patterns in Turbulence Produced by a Conventional Fractal Square Grid and a Spaced Fractal Square Grid." In Topical Problems of Fluid Mechanics 2024. Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, 2024. http://dx.doi.org/10.14311/tpfm.2024.002.

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Measurements of longitudinal velocity were conducted in an open-circuit suction wind tunnel at the Max-Planck Institute for Dynamics and Self-Organization in Gottingen. A hot wire anemometer was used at various positions within the turbulent flow generated by both a traditional fractal square grid (FSG) and a spaced fractal square grid (SFSG), both possessing similar physical properties. The results indicate the presence of self-similarity. Employing Extended Self Similarity (ESS), we performed a statistical characterization of this intricate turbulent system. We introduce a supplementary methodology suitable for non-homogeneous turbulence, founded on the analysis of the energy transfer hierarchy. The distinctive features of non-homogeneous characteristics within a turbulent field, discerned through nonlocal dynamics, are isolated from those conventionally attributed solely to intermittency. We propose a physical interpretation for the observed scale independence of relative scaling exponents in such non-homogeneous flows, elucidating the compensation effect of energy transfer on the contrast between strong coherent turbulent events and the less intense background turbulence. This approach enables the identification of whether intermittency arises from small scales or is associated with coherent structures.
2

Ross, Molly, John Matulis, and Hitesh Bindra. "A Statistical Approach to Quantify Taylor Microscale for Turbulent Flow Surrogate Model." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-91452.

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Abstract Non-equilibrium statistical mechanics models can be used to construct reduced order models from the time-dynamics data such as numerical or physical fluid mechanics experiments. One of the well-established statistical projection methods is the Kramers-Moyal expansion (KM) method. The first two terms of the KM expansion result can be used to construct a non-linear Langevin equation, which can serve as the statistically-trained reduced-order model. This non-linear Langevin equation can be approximated to the Fokker-Planck equation, which is similar to Advection-Diffusion equation, thereby preserving some characteristics of fluctuations associated with fluid mechanics. The KM method captures continuous-time dynamics, however, any data obtained through measurement is discrete. In order to accurately capture the time dynamics of the discrete data, the method for calculating the KM coefficients must be carefully chosen and implemented. To better represent the solution from discrete data, the drift and diffusion coefficients can be calculated at multiple time scales and then extrapolated to a time scale of zero, assuming a linear correlation. One challenge in using this method is that the calculated KM coefficients are only accurate for time scales greater than the Taylor microscale. This means that the extrapolation must use only the KM coefficients calculated for time scales greater than the Taylor microscale, however, this value is not always provided from the data nor simple to calculate. This work presents a method of approximating the Taylor microscale from the data through the relationship between the Markov property and the Taylor microscale and implementing this method to find the extrapolated KM coefficients. The KM method implementing the Taylor microscale estimation was applied to existing DNS turbulent channel flow data to model a time series. This generated time series was then compared to the DNS data using a statistical analysis including probability density function, autocorrelation, and power spectral density.
3

Manning, Jerome E. "Statistical Energy Analysis of Fluid-Filled Piping Vibrations and Acoustics." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32685.

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The flow of vibratory energy in turbo-machinery piping systems can contribute significantly to the noise emission. Fluctuating pressures and mechanical vibrations of pumps and valves generate coupled vibration and acoustic waves that propagate throughout the system and radiate noise to the surrounding acoustic space. Statistical energy analysis provides a method to analyze the energy transmitted by these waves and to develop noise and vibration mitigation designs. The development of SEA models requires that special consideration be given to piping elbows and tees, where the coupling between structural vibrations and fluid acoustic waves may be high. This paper reviews the development of piping system prediction models and their limitations. A mobility-based approach is described to improve predictions at mid-frequencies where both statistical energy and finite element procedures often fail to provide accurate predictions.
4

Cottrell, Mark, Alfred Lacazette, Bill Chmela, Saman Karimi, and B. D. Marsh. "Evaluating the Geothermal Potential of Hot Sedimentary Aquifers Using a Hybrid Approach." In 57th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2023. http://dx.doi.org/10.56952/arma-2023-0422.

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ABSTRACT Flow through geothermal reservoirs is highly complex, and often includes contributions from both fracture networks and the porous rock matrix. Discrete Fracture Network (DFN) models are proven, effective tools for the characterization of rock masses especially where fracture dominated fluid flow is encountered; whereas more conventional tools, such as Finite Volume (FV) methods, are more numerically favorable for simulating problems where detailed multiphysics is required. This paper presents a workflow that combines discrete and continuum descriptions that captures the salient features of the geological materials whilst also remaining numerically tractable. DFN models of fractured rock masses are typically developed using statistical distributions to generate realistic three-dimensional (3D) descriptions of the natural fracture network. Superimposed with this fracture description, is a matrix-orientated description based on an intact rock property model. Integration of these two descriptions into a single continuum rock mass description is achieved through a novel discrete-continuum upscaling process which combines fractures and intact properties into a unified form, providing effective mass permeability and geomechanical descriptions. The composite rock mass description is then carried forward into a numerically efficient multiphysics solver that provides effective simulation of both temperature and flow in a fully coupled manner to evaluate the performance potential of geothermal reservoir units. In addition, it will be demonstrated how the presented work can naturally embed within the stochastic framework of DFN and permit a probabilistic based evaluation. This paper presents application of the hybrid DFN-FV workflow for a hot sedimentary aquifer. The application is presented in terms of the characterization steps and a description of the input used, which is then supplemented with the dual fracture and matrix description. The demonstration will also touch on the efficient gridding of geological domains and provide example simulation results of multi-well injector and producer fluid flow and heat transfer. The work in this paper shows how the DFN-FV approach can be systematically employed to help with the success of geothermal well placement and completion studies in hot sedimentary aquifers.
5

van Beek, Pieter J. G., and Jan P. M. Smeulers. "High Frequency Statistical Energy Analysis Applied to Fluid Filled Pipe Systems." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97280.

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In pipe systems, carrying gas with high velocities, broadband turbulent pulsations can be generated causing strong vibrations and fatigue failure, called Acoustic Fatigue. This occurs at valves with high pressure differences (i.e. chokes), relief valves and obstructions in the flow, such as sharp bends and T-branches. Characteristic for the turbulent sources is the strong and broadband excitation caused by turbulent flow, complex acoustic response and vibrations. The traditional approach to calculate the response per resonance frequency. This brute force method is too (computational) time consuming and perhaps even not feasible. As an alternative probabilistic methods can be used. The Statistical Energy Analysis (SEA) is such a method, which only assumes statistical knowledge. The method is particularly suited for modeling multi-modal structural-acoustic systems, excited at frequencies well above their fundamental natural frequencies. To validate the SEA approach for fluid filled pipe systems, in this paper first a well-defined laboratory setup is presented: SEA results, structural-acoustic coupled FEM results and experimental results are compared. After that the SEA approach is used to assess the mechanic integrity of a complex subsea installation, from which also a very elaborate structural-acoustic FE model is available.
6

Kim, Changsung Sean. "Non-Equilibrium Molecular Dynamics Approach for Nano-Electro-Mechanical Systems: Nano-Fluidics and Its Applications." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-79628.

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A three-dimensional non-equilibrium molecular dynamics code has been developed and evaluated to provide fundamental understandings of nano-fluidics at molecular level. Intermolecular energy and force between fluid-fluid and fluid-wall particles were all included. Molecular dynamics results were verified by simulating both homogeneous and heterogeneous flows in a nano-tube and then compared with the classical Navier-Stokes solution with non-slip wall boundary conditions. At equilibration state, the macroscopic parameters were calculated using the statistical calculation. Liquid argon fluids within platinum walls were simulated for a homogeneous system. Also positively charged particles are mixed with water-like solvent particles to investigate the non-Newtonian behavior of the heterogeneous fluid. For an electrowetting phenomenon, a positive charged droplet moving on the negative charged ultra thin film was successfully simulated and compared with a macroscopic experiment. Nano-jetting mechanism was identified by simulating droplet ejection, breakup, wetting, and drying process in a consequent manner. In addition, conceptual nano/micropumps using electrowetting phenomenon are simulated. The present molecular dynamics approach showed its promising capability for the wide range of NEMS/MEMS applications
7

Chong, William, Mircea Teodorescu, Ashlie Martini, and Homer Rahnejat. "Mechanisms of Entrapment and Release of Fluid Droplets From Nano-Scale Surface Features." In ASME/STLE 2012 International Joint Tribology Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ijtc2012-61201.

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Engineering surfaces are never perfectly flat. They contain micro and nano-scale features on multiple length scales. Predicting the amount of fluid trapped in these minute surface crevices and its controlled release could benefit a variety of practical applications. In a sliding contact, the released fluid could create an ultra-thin film, reducing the direct contact and consequently the boundary friction. Transdermal patches are the least invasive of available subcutaneous drug delivery techniques. The drug is stored in a micro-reservoir and it is released to the skin either through a permeable membrane or through a series of micro needles. The aim of the current paper represents the first attempt to investigate whether a modeling approach encompassing two complementary simulation techniques in an integrated framework can be used to predict the volume of fluid stored in a nano-scale surface feature. Molecular dynamics (MD) simulation could provide accurate modeling of fluid behavior at nano-scale, and statistical mechanics (SM) could provide a fast prediction.
8

Fouques, Se´bastien, Harald E. Krogstad, and Dag Myrhaug. "A Second Order Lagrangian Model for Irregular Ocean Waves." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51334.

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Synthetic Aperture Radar (SAR) imaging of ocean waves involves both the geometry and the kinematics of the sea surface. However, the traditional linear wave theory fails to describe steep waves, which are likely to bring about specular reflection of the radar beam, and it may overestimate the surface fluid velocity that causes the so-called velocity bunching effect. Recently, the interest for a Lagrangian description of ocean gravity waves has increased. Such an approach considers the motion of individual labeled fluid particles and the free surface elevation is derived from the surface particles positions. The first order regular solution to the Lagrangian equations of motion for an inviscid and incompressible fluid is the so-called Gerstner wave. It shows realistic features such as sharper crests and broader troughs as the wave steepness increases. This paper proposes a second order irregular solution to these equations. The general features of the first and second order waves are described, and some statistical properties of various surface parameters such as the orbital velocity, the slope and the mean curvature are studied.
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Spanos, Pol D., Rupak Ghosh, Lyle D. Finn, Fikry Botros, and John Halkyard. "Efficient Dynamic Analysis of a Combined Spar System via a Frequency Domain Approach." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67134.

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The response of a combined Spar/ risers/mooring lines system is conventionally determined by conducting nonlinear time domain analysis. The system nonlinearity is introduced by the mooring nonlinear force, the friction between the buoyancy-can and the preloaded compliant guide, and the quadratic model of the fluid related damping. Obviously, during the design process, it is important to understand the sensitivity of the Spar responses to various parameters. To a great extent, these objectives cannot be readily achieved by using time domain analysis since, in this context, elements with frequency dependent representation such as the added masses and supplementary damping must be incorporated in the analysis; this may require the use of elaborate convolution techniques. This attribute of the time domain solution combined with the necessity of running a significant number of simulations makes it desirable to develop alternative methods of analysis. In the present paper, a frequency domain approach based on the method of the statistical linearization is used for conducting readily a parametric study of the combined Spar system. This method allows one to account by an equivalent linear damping and an equivalent linear stiffness for the mooring nonlinearity, friction nonlinearity, and the damping nonlinearity of the system. Further, frequency dependent inertia and radiation damping terms in the equations of motion are accommodated. This formulation leads to a mathematical model for the combined system, which involves five-by-five mass, damping and stiffness matrices. In the solution procedure, the equivalent parameters of the linear system are refined in an iterative manner, and by relying on an optimization criterion. This procedure is used to assess the sensitivity of representative Spar system responses to various design parameters. Further, the effect of various design parameters on the combined system response is examined. The environmental loadings considered are of the JONSWAP format of a 100-yr hurricane in the Gulf of Mexico.
10

Zhuang, Xinwei, and Xiuling Wang. "Environment Analysis Near a Highway Using Computational Fluid Dynamics." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-38717.

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Air pollution has been proven as a significant risk factor for multiple health conditions. A major portion of urban air pollution is attributed to vehicle emissions. In this study, a high school which is close to an interstate highway is numerical simulated to estimate the impact of traffic emissions on air quality. Two probability density functions, Weibull distribution and Rayleigh distribution, were used in wind data statistical analysis. A numerical method was used to estimate the wind speed at study site based on the wind data in meteorology stations. Both indoor and outdoor environment were simulated using computational fluid dynamics (CFD). The airflow and the dispersion of particulate air pollutants emitted from the highways surrounding the high school building were analyzed. The wind flow was simulated using Reynolds-Averaged Navier Stokes (RANS) model. The particulate matters are tracked using Lagrangian model. For the indoor simulation, the standard k-ε model is employed to model the air-phase turbulence. Discrete phase model (DPM) and Eulerian multiphase model were utilized for the particle phase, respectively. The comparison shows that the Lagrangian approach has better agreement since the dispersed-phase volume fractions are less than 10%.

Reports on the topic "Statistical approach to fluid mechanics":

1

Monin, A. S., and A. M. Yaglom. Statistical Fluid Mechanics: The Mechanics of Turbulence. Fort Belvoir, VA: Defense Technical Information Center, September 1999. http://dx.doi.org/10.21236/ada398728.

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2

Barbaro, Alethea B., Lincoln Chayes, and Maria R. D'Orsogna. Territorial Developments Based on Graffiti: a Statistical Mechanics Approach. Fort Belvoir, VA: Defense Technical Information Center, October 2011. http://dx.doi.org/10.21236/ada555755.

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Klammler, Harald. Introduction to the Mechanics of Flow and Transport for Groundwater Scientists. The Groundwater Project, 2023. http://dx.doi.org/10.21083/gxat7083.

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Starting from Newton’s laws of motion and viscosity, this book is an introduction to fundamental aspects of fluid dynamics that are most relevant to groundwater scientists. Based on a perspective of driving versus resisting forces that govern the motion of a fluid, the author derives Darcy’s law for flow through porous media by drawing an analogy to Bernoulli’s law for fluid with negligible viscosity. By combining the effects of gravity and pressure, the author identifies hydraulic head as a convenient numerical quantity to represent the force driving groundwater flow. In contrast to the physical derivation of hydraulic head, hydraulic conductivity emerges as a parameter related to the resisting frictional forces between the mobile fluid and the stationary porous medium. These frictional seepage forces also affect the effective stress state of the porous medium, thus establishing a link to soil stability and quicksand formation. Combining Darcy’s law with the law of mass conservation leads the reader to the fundamental equations of saturated groundwater flow. Finally, the effects of capillary forces are included to establish the governing equations for unsaturated and multi-phase flow. Throughout the book, the author focuses on thoroughly illustrating and deriving the equations while applying order of magnitude analyses. This approach makes it possible to extract the most information, for example in terms of the scale of response time, without requiring explicit solutions. A number of boxes and solved exercises contain further details and links to practical applications such as the water table ratio that reflects ‘fullness’ of an aquifer and the performance of slug tests for in situ measurement of hydraulic conductivity. This book makes an important contribution to groundwater science by providing a progressive introductory explanation of the physical mechanics of groundwater flow and the accompanying socioeconomic and ecological problems that may arise.
4

Darling, Arthur H., and William J. Vaughan. The Optimal Sample Size for Contingent Valuation Surveys: Applications to Project Analysis. Inter-American Development Bank, April 2000. http://dx.doi.org/10.18235/0008824.

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One of the first questions that has to be answered in the survey design process is "How many subjects should be interviewed?" The answer can have significant implications for the cost of project preparation, since in Latin America and the Caribbean costs per interview can range from US$20 to US$100. Traditionally, the sample size question has been answered in an unsatisfactory way by either dividing an exogenously fixed survey budget by the cost per interview or by employing some variant of a standard statistical tolerance interval formula. The answer is not to be found in the environmental economics literature. But, it can be developed by adapting a Bayesian decision analysis approach from business statistics. The paper explains and illustrates, with a worked example, the rationale for and mechanics of a sequential Bayesian optimization technique, which is only applicable when there is some monetary payoff to alternative courses of action that can be linked to the sample data.
5

Allen, Luke, Robert Haehnel, and Yonghu Wenren. South Pole Station snowdrift model. Engineer Research and Development Center (U.S.), August 2022. http://dx.doi.org/10.21079/11681/44943.

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The elevated building at Scott-Amundsen South Pole Station was designed to mitigate the effects of windblown snow on it and the surrounding infrastructure. Because the elevation of the snow surface increases annually, the station is periodically lifted on its support columns to maintain its design height above the snow surface. To assist with planning these lifts, this effort developed a computational model to simulate snowdrift formation around the elevated building. The model uses computational fluid dynamics methods and synthetic wind record generation derived from statistical analysis of meteorological data. Simulations assessed the impact of several options for the lifting operation on drifts surrounding the elevated building. Simulation results indicate that raising the eastern-most building section (Pod A), or the entire station all at once, can reduce drift accumulation rates over the nearby arches structures. Long-term analyses, spanning 5–6 years, determine whether an equilibrium drift condition may be reached after a long period of undisturbed drift development. These simulations showed that after about 6 years, the rate of growth of the upwind drift slows, appearing to approach an equilibrium condition. However, the adjacent drifts were still increasing in depth at a roughly linear rate, indicating that equilibrium for those drifts was still several seasons away.

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