Relevant bibliographies by topics / Anisotropic quantities

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

Academic literature on the topic 'Anisotropic quantities'

Author: Grafiati
Published: 19 February 2023

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Journal articles on the topic "Anisotropic quantities"

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Diez, A., and O. Eisen. "Seismic wave propagation in anisotropic ice – Part 1: Elasticity tensor and derived quantities from ice-core properties." Cryosphere 9, no. 1 (2015): 367–84. http://dx.doi.org/10.5194/tc-9-367-2015.

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Abstract. A preferred orientation of the anisotropic ice crystals influences the viscosity of the ice bulk and the dynamic behaviour of glaciers and ice sheets. Knowledge about the distribution of crystal anisotropy is mainly provided by crystal orientation fabric (COF) data from ice cores. However, the developed anisotropic fabric influences not only the flow behaviour of ice but also the propagation of seismic waves. Two effects are important: (i) sudden changes in COF lead to englacial reflections, and (ii) the anisotropic fabric induces an angle dependency on the seismic velocities and, th
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Diez, A., and O. Eisen. "Seismic wave propagation in anisotropic ice – Part 1: Elasticity tensor and derived quantities from ice-core properties." Cryosphere Discussions 8, no. 4 (2014): 4349–95. http://dx.doi.org/10.5194/tcd-8-4349-2014.

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Abstract. A preferred orientation of the anisotropic ice crystals influences the viscosity of the ice bulk and the dynamic behaviour of glaciers and ice sheets. Knowledge about the distribution of crystal anisotropy, to understand its contribution to ice dynamics, is mainly provided by crystal orientation fabric (COF) data from ice cores. However, the developed anisotropic fabric does not only influence the flow behaviour of ice, but also the propagation of seismic waves. Two effects are important: (i) sudden changes in COF lead to englacial reflections and (ii) the anisotropic fabric induces
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Guo, Chen Jie, and Chang Song Zhang. "Molten Salt Synthesis of Anisotropic Bi4Ti3O12 Particles." Advanced Materials Research 284-286 (July 2011): 1452–55. http://dx.doi.org/10.4028/www.scientific.net/amr.284-286.1452.

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Plated-like Bi4Ti3O12particles with anisotropic properties were prepared by the NaCl-KCl molten salt method. The effect on microstructure and patterns of Bi4Ti3O12particles was investigated by adjusting salt quantities, calcined temperature and excessive Bi2O3content. The results show that the size of Bi4Ti3O12particle and the degree of anisotropy of pure perovskite structure of Bi4Ti3O12particles prepared at 750°C simultaneously increased with the quantities of molten salt and the temperature of the calciner. Excessive Bi2O3content also shows a positive effect to obtain the anisotropic Bi4Ti3
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Zhang, Chang Song, and Chen Jie Guo. "Synthesis of Plated-Like Template Bi4Ti3O12 Particles and Properties." Advanced Materials Research 239-242 (May 2011): 2170–73. http://dx.doi.org/10.4028/www.scientific.net/amr.239-242.2170.

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In this paper, Plated-like Bi4Ti3O12particles with anisotropic properties were prepared by the NaCl-KCl molten salt method. The effect on microstructure and patterns of Bi4Ti3O12particles was investigated by adjusting salt quantities, calcined temperature and excessive Bi2O3content. The results show that the size of Bi4Ti3O12particle and the degree of anisotropy of pure perovskite structure of Bi4Ti3O12particles prepared at 750°C simultaneously increased with the quantities of molten salt and the temperature of the calciner. Excessive Bi2O3content also shows a positive effect to obtain the ani
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Pšenčk, Ivan, and Dirk Gajewski. "Polarization, phase velocity, and NMO velocity of qP-waves in arbitrary weakly anisotropic media." GEOPHYSICS 63, no. 5 (1998): 1754–66. http://dx.doi.org/10.1190/1.1444470.

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We present approximate formulas for the qP-wave phase velocity, polarization vector, and normal moveout velocity in an arbitrary weakly anisotropic medium obtained with first‐order perturbation theory. All these quantities are expressed in terms of weak anisotropy (WA) parameters, which represent a natural generalization of parameters introduced by Thomsen. The formulas presented and the WA parameters have properties of Thomsen’s formulas and parameters: (1) the approximate equations are considerably simpler than exact equations for qP-waves, (2) the WA parameters are nondimensional quantities
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Grechka, Vladimir, and Albena Mateeva. "Inversion of P-wave VSP data for local anisotropy: Theory and case study." GEOPHYSICS 72, no. 4 (2007): D69—D79. http://dx.doi.org/10.1190/1.2742970.

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We discuss, improve, and apply the slowness-polarization method for estimating local anisotropy from VSP data. Although the idea of fitting a given anisotropic model to the apparent slownesses measured along a well and polarization vectors recorded by three-component downhole geophones is hardly new, we extend the area of applicability of the technique and make the anisotropic inversion more robust by eliminating the most operationally difficult and noisy portion of the data, the shear waves. We show that the shear-wave velocity is actually unnecessary for fitting the slowness-of-polarization
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Vavryčuk, Václav. "Ray velocity and ray attenuation in homogeneous anisotropic viscoelastic media." GEOPHYSICS 72, no. 6 (2007): D119—D127. http://dx.doi.org/10.1190/1.2768402.

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Asymptotic wave quantities such as ray velocity and ray attenuation are calculated in anisotropic viscoelastic media by using a stationary slowness vector. This vector generally is complex valued and inhomogeneous, and it predicts the complex energy velocity parallel to a ray. To compute the stationary slowness vector, one must find two independent, real-valued unit vectors that specify the directions of its real and imaginary parts. The slowness-vector inhomogeneity affects asymptotic wave quantities and complicates their computation. The critical quantities are attenuation and quality factor
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Ahmad, S., A. Rehman Jami, and M. Z. Mughal. "Stability of anisotropic self-gravitating fluids." Modern Physics Letters A 33, no. 17 (2018): 1850095. http://dx.doi.org/10.1142/s0217732318500955.

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The aim of this paper is to study the stability as well as the existence of self-gravitating anisotropic fluids in [Formula: see text]-dominated era. Taking a cylindrically symmetric and static spacetime, we computed the corresponding equations of motion in the background of anisotropic fluid distributions. The realistic formulation of energy momentum tensor as well as theoretical model of the scale factors are considered in order to describe some physical properties of the anisotropic fluids. To find the stability of the compact star, we have used Herrera’s technique which is based on finding
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KURIEN, SUSAN, KONSTANTINOS G. AIVALIS, and KATEPALLI R. SREENIVASAN. "Anisotropy of small-scale scalar turbulence." Journal of Fluid Mechanics 448 (November 26, 2001): 279–88. http://dx.doi.org/10.1017/s0022112001006176.

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The anisotropy of small-scale temperature fluctuations in shear flows is analysed by making measurements in high-Reynolds-number atmospheric surface layers. A spherical harmonics representation of the moments of scalar increments is proposed, such that the isotropic part corresponds to the index j = 0 and increasing degrees of anisotropy correspond to increasing j. The parity and angular dependence of the odd moments of the scalar increments show that the moments cannot contain any isotropic part (j = 0), but can be satisfactorily represented by the lowest-order anisotropic term corresponding
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Pšenčík, Ivan, and Véronique Farra. "First-order ray tracing for qP waves in inhomogeneous, weakly anisotropic media." GEOPHYSICS 70, no. 6 (2005): D65—D75. http://dx.doi.org/10.1190/1.2122411.

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We propose approximate ray-tracing equations for qP-waves propagating in smooth, inhomogeneous, weakly anisotropic media. For their derivation, we use perturbation theory, in which deviations of anisotropy from isotropy are considered to be the first-order quantities. The proposed ray-tracing equations and corresponding traveltimes are of the first order. Accuracy of the traveltimes can be increased by calculating a secondorder correction along first-order rays. The first-order ray-tracing equations for qP-waves propagating in a general weakly anisotropic medium depend on only 15 weak-anisotro
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Dissertations / Theses on the topic "Anisotropic quantities"

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Cheng, Shuming. "Tradeoffs in Coherence and Multiparty Quantum Correlations." Thesis, Griffith University, 2018. http://hdl.handle.net/10072/380058.

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Quantum correlations and quantum coherence are not only recognised as fundamental features in the quantum regime that depart from the classical world, but also regarded as useful resources in numerous quantum information processing tasks. Thus, characterising and quantifying these quantum properties is a prime task in quantum information theory. In this thesis, I study the following problems: How could quantum coherence be extracted from a set of measurements? How are quantum correlations distributed among multi-party quantum systems? Are there tradeo relations such that these quantum feature
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Liu, Yaxing. "Quantitive Photoemission Spectroscopy of Hydrogen Bonded Systems." Doctoral thesis, 2010. http://hdl.handle.net/11858/00-1735-0000-0006-B089-5.

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Books on the topic "Anisotropic quantities"

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Gossard, Earl E. A statistical study of the interrelationship between turbulence-related quantities in an elevated sheet-and-layer zone, and evidence for strong anisotropy. U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, Environmental Research Laboratories, 1986.

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Book chapters on the topic "Anisotropic quantities"

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Newnham, Robert E. "Tensors and physical properties." In Properties of Materials. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780198520757.003.0007.

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In this chapter we introduce the tensor description of physical properties along with Neumann’s Principle relating symmetry to physical properties. As pointed out in the introduction, many different types of anisotropic properties are described in this book, but all have one thing in common: a physical property is a relationship between two measured quantities. Four examples are illustrated in Fig. 5.1. Elasticity is one of the standard equilibrium properties treated in crystal physics courses. The elastic compliance coefficients relate mechanical strain, the dependent variable, to mechanical stress, the independent variable. For small stresses and strains, the relationship is linear, but higher order elastic constants are needed to describe the departures from Hooke’s Law. Thermal conductivity is typical of the many transport properties in which a gradient leads to flow. Here the dependent variable is heat flow and the independent variable is a temperature gradient. Again the relationship is linear for small temperature gradients. Hysteretic materials such as ferromagnetic iron exhibit more complex physical properties involving domain wall motion. In this case magnetization is the dependent variable responsive to an applied magnetic field. The resulting magnetic susceptibility depends on the past history of the material. If the sample is initially unmagnetized, the magnetization will often involve only reversible domain wall motion for small magnetic fields. In this case the susceptibility is anhysteretic, but for large fields the wall motion is only partly reversible leading to hysteresis. The fourth class of properties leads to permanent changes involving irreversible processes. Under very high electric fields, dielectric materials undergo an electric breakdown process with catastrophic current flow. Under small fields Ohm’s Law governs the relationship between current density and electric field with a well-defined resistivity, but high fields lead to chemical, thermal, and mechanical changes that permanently alter the sample. Irreversible processes are sometimes anisotropic but they will not be discussed in this book. Measured quantities such as stress and strain can be represented by tensors, and so can physical properties like elastic compliance that relate these measurements. This is why tensors are so useful in describing anisotropy.
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Furbish, David Jon. "Porous Media Flows." In Fluid Physics in Geology. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195077018.003.0017.

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So far our treatment of fluid motions has not emphasized the behavior of fluids residing within porous geological materials. Let us now turn to this topic and, in doing so, make use of our insight regarding purely fluid flows. The general topic of fluid behavior within porous geological materials is an extensive one, forming the heart of such fields as groundwater hydrology, soils physics, and petroleum-reservoir dynamics. In addition, this topic is an essential ingredient in studies concerning the physical and chemical evolution of sedimentary basins, and the dynamics of accretionary prisms at convergent plate margins. In view of the breadth of these topics, the objective of this chapter is to introduce essential ingredients of fluid flow and transport within porous materials that are common to these topics. Our first task is to examine the physical basis of Darcy’s law, and to generalize this law to a form that can be used with an arbitrary orientation of the working coordinate system relative to the intrinsic coordinates of a geological unit that are associated with its anisotropic properties. We will likewise examine the basis of transport of solutes and heat in porous materials. We will then develop the equations of motion for the general case of saturated flow in a deformable medium. In this regard, several of the Example Problems highlight interactions between flow and strain of geological materials during loading, because this interaction bears on many geological processes. Examples include consolidation of sediments during loading, and responses of aquifers to loading by oceanic and Earth tides, and seismic stresses. We will concentrate on the description of diffuse flows within the interstitial pores of granular materials, as opposed to flows within materials containing dual, or multiple, pore systems such as karstic media, or media containing both interstitial and fracture porosities. We will consider unsaturated, as well as saturated, conditions. For simplicity, the subscript h is omitted from the notation of quantities such as specific discharge q and hydraulic conductivity K.
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Lovejoy, Shaun. "How big is a cloud?" In Weather, Macroweather, and the Climate. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190864217.003.0007.

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We have discussed two extreme views of atmospheric variability: the scalebound view, in which every factor of 10 or so involves some new mechanism or law; and the opposing self- similar scaling view, in which zooming gives us something essentially the same— a single mechanism or law that could hold over ranges of thousands or more. By considering time series and spatial transects, we saw that, over various ranges of scale in space and in time, atmospheric scaling seemed to work quite well. We looked at a complication: Interesting geophysical quantities are not simply black or white (geometric sets of points), but have gray shades; they have numerical values everywhere. To deal with the associated extreme variability and intermit­tency, we saw that we had to go beyond fractal sets to multifractal fields (Box 2.2). Understanding multifractals turned out to be important. Failure to appre­ciate their importance led to numerous deleterious consequences.1 In this chapter, I want to consider something quite different: the morphologies of shapes in two or three dimensions. Up until now, we have identified scaling with self- similarity, the property that, following a usual isotropic zoom (one that is the same in all directions), small parts resemble the whole in some way. Yet in Chapter 1 (Fig. 1.8A, B), we saw that zooming into lidar vertical sections uncovered morphologies that changed with scale. As we zoomed into flat, stratified layers, structures became visibly more “roundish” (compare Fig. 1.8A with Fig. 1.8B). Vertical sections are thus not self- similar. Their degree of stratification— anisotropy— changes systematically with scale. But the vertical isn’t the only place where self- similarity is unrealistic. Although it is not as obvious, the same difficulty arises if we zoom into clouds in the hori­zontal. We criticized Orlanski’s powers of ten classification as being arbitrary and in contradiction with the scaling area– perimeter relation, but Orlanski was only trying to update an older phenomenological classification scheme, some of which predated the twentieth century.
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Conference papers on the topic "Anisotropic quantities"

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Paddon, P., E. Sjerve, and G. M. Stephan. "Stability of polarized modes in a strongly anisotropic laser cavity." In OSA Annual Meeting. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/oam.1993.wss.7.

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Previous calculations of the stability of the polarization modes of lasers, including their stability, bistability and curious catastrophes1,2 have invoked the mean field approximation. Since the cavity anisotropies and losses are approximated by distributed quantities, the polarization of the laser is the same throughout the cavity. In general then, one expects such an approximation to be valid only for cavities with small anisotropies. Such cavities are appropriately described as quasi–isotropic. We have succeeded in breaking this mean field approximation by propagating a plane wave around a
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Li, Weihong, Li Yang, Jing Ren, and Hongde Jiang. "Algebraic Anisotropic Eddy Viscosity Model for Separated Flows of Internal Cooling Channels." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25591.

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A new algebraic anisotropic eddy viscosity model (AEVM) is developed to account for the anisotropic characteristics of flow fields for internal cooling channels in a gas turbine. The model consist of two parts: k and ε near wall modeling are improved to obtain precise near wall turbulent characteristics and eddy viscosity; anisotropic ratios are derived to account for anisotropy and further modify the normal Reynolds stresses by combining implicit algebraic stress model and isotropic eddy viscosity model. The new algebraic anisotropic eddy viscosity model is validated in two cases: 1) flow pre
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MacIsaac, G. D., and S. A. Sjolander. "Anisotropic Eddy Viscosity in the Secondary Flow of a Low-Speed Linear Turbine Cascade." In ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/gt2011-45578.

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The final losses within a turbulent flow are realized when eddies completely dissipate to internal energy through viscous interactions. The accurate prediction of the turbulence dissipation, and therefore the losses, requires turbulence models which represent, as accurately as possible, the true flow physics. Eddy viscosity turbulence models, commonly used for design level computations, are based on the Boussinesq approximation and inherently assume the eddy viscosity field is isotropic. The current paper compares the computational predictions of the flow downstream of a low-speed linear turbi
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Zeghondy, Barbar, Jean Taine, and Estelle Iacona. "Determination of Anisotropic Absorption and Extinction Coefficients of a Tomographed Real Porous Medium." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59711.

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The direct general identification method of the radiative properties of high porosity media, developed and validated for virtual statistically isotropic media in [1], has been applied to a real statistically anisotropic medium. This medium has a transparent fluid phase and an opaque gray diffuse solid phase. It is modelled by a semi-transparent equivalent medium characterized by extinction and absorption coefficients β and κ. These quantities are directly determined from the morphology data obtained by X-ray tomography and from the absorptivity of the solid phase. The application of this appro
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Balantrapu, Kiran, Deepti Rao Sarde, Christopher M. Herald, and Richard A. Wirtz. "Porosity, Specific Surface Area and Effective Thermal Conductivity of Anisotropic Open Cell Lattice Structures." In ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems collocated with the ASME 2005 Heat Transfer Summer Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/ipack2005-73191.

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Open-cell box-lattice structures consisting of mutually orthogonal thermally conductive cylindrical ligaments can be configured to have wide ranging porosity, a large specific surface area and effective thermal conductivity in a particular direction together with specified structural characteristics. Thermal and mechanical properties can be tuned (and anisotropy introduced) by specification of different filament diameter and pitch for the vertical and horizontal filaments. Analytical models for porosity, specific surface area and effective thermal conductivity of lattice structures having diff
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Lipowsky, Justus, and Martin Sommerfeld. "Time-Dependent Simulation of a Swirling Two Phase Flow Using an Anisotropic Turbulent Dispersion Model." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77210.

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Time-dependent simulations of a particle-laden swirl flow in a pipe expansion based on the Euler-Lagrange approach are presented. Two equation and Reynolds Stress Models were used in the calculation of turbulent quantities in the continuous phase. Additional attention was payed to the influence of particle dispersion. The instantaneous fluid velocities seen by the particles was reconstructed by different dispersion models. To come to a time dependant solution for the Euler-Lagrange approach, a quasi-unsteady approach is taken. This results in a calculational scheme where one Eulerian time-step
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Muju, Sandeep. "Crack in a Bimaterial Functionally Graded Multilayered Media." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0882.

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Abstract The macroscopically anisotropic homogenization of a multilayered media implicitly assumes that the spatial wavelength of material inhomogeneity is smaller than the macroscopic quantity of interest and hence, is a reasonable approximation of the bulk behavior. However, close to the crack tip, gradients in field quantities are strongly influenced by the local heterogeneity, which the isotropic or anisotropic homogenization fails to capture. The present work addresses the issues related to the influence of material inhomogeneity on local crack tip driving force. It is shown that to the f
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Chen, Hamn-Ching, Gengsheng Wei, and Je-Chin Han. "Computation of Discrete-Hole Film Cooling by a Near-Wall Second-Moment Turbulence Closure." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0988.

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Abstract A multiblock Favre-Averaged Navier-Stokes (FANS) method has been developed in conjunction with a chimera domain decomposition technique for investigation of flat surface, discrete-hole film cooling performance. The finite-analytic method solves the FANS equations in conjunction with a near-wall second-order Reynolds stress (second-moment) closure model and a two-layer k-ε model. Comparisons of flow fields and turbulence quantities with experimental data clearly demonstrate the capability of the near-wall second-moment closure model for accurate resolution of the complex flow interacti
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Stieger, R. D., and H. P. Hodson. "The Unsteady Development of a Turbulent Wake Through a Downstream Low-Pressure Turbine Blade Passage." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53061.

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This paper presents two-dimensional LDA measurements of the convection of a wake through a low-pressure (LP) turbine cascade. Previous studies have shown the wake convection to be kinematic but have not provided details of the turbulent field. The spatial resolution of these measurements has facilitated the calculation of the production of turbulent kinetic energy and this has revealed a mechanism for turbulence production as the wake convects through the bladerow. The measured ensemble-averaged velocity field confirmed the previously reported kinematics of wake convection while the measuremen
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Melheim, Jens A., Stefan Horender, and Martin Sommerfeld. "Modeling of the Vortex-Structure in a Particle-Laden Mixing-Layer." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77040.

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Numerical calculations of a particle-laden turbulent horizontal mixing-layer based on the Eulerian-Lagrangian approach are presented. Emphasis is given to the determination of the stochastic fluctuating fluid velocity seen by the particles in anisotropic turbulence. The stochastic process for the fluctuating velocity is a “Particle Langevin equation Model”, based on the Simplified Langevin Model. The Reynolds averaged Navier-Stokes equations are closed by the standard k-epsilon turbulence model. The calculated concentration profile and the mean, the root-mean-square (rms) and the cross-correla
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