Relevant bibliographies by topics / Stokes expansion

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

Academic literature on the topic 'Stokes expansion'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Stokes expansion"

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Chang, Hsien-Kuo, and Jin-Cheng Liou. "Fixed-frequency Stokes wave expansion." Ocean Engineering 33, no. 3-4 (March 2006): 417–24. http://dx.doi.org/10.1016/j.oceaneng.2005.04.020.

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Consiglieri, Luisa. "Thermal Expansion on Stokes–Fourier Systems." SIAM Journal on Mathematical Analysis 44, no. 3 (January 2012): 1831–60. http://dx.doi.org/10.1137/110832665.

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Sadiq, Muhammad Adil. "Boundary Layer Flow due to the Vibration of a Sphere." Journal of Applied Mathematics 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/191606.

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Boundary layer flow of the Newtonian fluid that is caused by the vibration of inner sphere while the outer sphere is at rest is calculated. Vishik-Lyusternik (Nayfeh refers to this method as the method of composite expansions) method is employed to construct an asymptotic expansion of the solution of the Navier-Stokes equations in the limit of high-frequency vibrations for Reynolds number ofO(1). The effect of the Stokes drift of fluid particles is also considered.
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Wang, Jin. "An asymptotic expansion for Stokes waves with viscosity." Fluid Dynamics Research 40, no. 2 (February 2008): 155–61. http://dx.doi.org/10.1016/j.fluiddyn.2007.08.001.

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Lisboa, Kleber Marques, Jian Su, and Renato M. Cotta. "Vector eigenfunction expansion in the integral transform solution of transient natural convection." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 8 (August 5, 2019): 2684–708. http://dx.doi.org/10.1108/hff-10-2018-0543.

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Purpose The purpose of this work is to revisit the integral transform solution of transient natural convection in differentially heated cavities considering a novel vector eigenfunction expansion for handling the Navier-Stokes equations on the primitive variables formulation. Design/methodology/approach The proposed expansion base automatically satisfies the continuity equation and, upon integral transformation, eliminates the pressure field and reduces the momentum conservation equations to a single set of ordinary differential equations for the transformed time-variable potentials. The resulting eigenvalue problem for the velocity field expansion is readily solved by the integral transform method itself, while a traditional Sturm–Liouville base is chosen for expanding the temperature field. The coupled transformed initial value problem is numerically solved with a well-established solver based on a backward differentiation scheme. Findings A thorough convergence analysis is undertaken, in terms of truncation orders of the expansions for the vector eigenfunction and for the velocity and temperature fields. Finally, numerical results for selected quantities are critically compared to available benchmarks in both steady and transient states, and the overall physical behavior of the transient solution is examined for further verification. Originality/value A novel vector eigenfunction expansion is proposed for the integral transform solution of the Navier–Stokes equations in transient regime. The new physically inspired eigenvalue problem with the associated integmaral transformation fully shares the advantages of the previously obtained integral transform solutions based on the streamfunction-only formulation of the Navier–Stokes equations, while offering a direct and formal extension to three-dimensional flows.
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POZRIKIDIS, C. "Expansion of a compressible gas bubble in Stokes flow." Journal of Fluid Mechanics 442 (August 24, 2001): 171–89. http://dx.doi.org/10.1017/s0022112001004992.

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The flow-induced deformation of an inviscid bubble occupied by a compressible gas and suspended in an ambient viscous liquid is considered at low Reynolds numbers with particular reference to the pressure developing inside the bubble. Ambient fluid motion alters the bubble pressure with respect to that established in the quiescent state, and requires the bubble to expand or contract according to an assumed equation of state. When changes in the bubble volume are prohibited by a global constraint on the total volume of the flow, the ambient pressure is modified while the bubble pressure remains constant during the deformation. A numerical method is developed for evaluating the pressure inside a two-dimensional bubble in an ambient Stokes flow on the basis of the normal component of the interfacial force balance involving the capillary pressure, the normal viscous stress, and the pressure at the free surface on the side of the liquid; the last is computed by evaluating a strongly singular integral. Dynamical simulations of bubble deformation are performed using the boundary integral method properly implemented to remove the multiplicity of solutions due to the a priori unknown rate of expansion, and three particular problems are discussed in detail: the shrinkage of a bubble at a specified rate, the deformation of a bubble subject to simple shear flow, and the deformation of a bubble subject to a purely elongational flow. In the case of shrinkage, it is found that the surface tension plays a critical role in determining the behaviour of the bubble pressure near the critical time when the bubble disappears. In the case of shear or elongational flow, it is found that the bubble contracts during an initial period of deformation from the circular shape, and then it expands to obtain a stationary shape whose area is higher than that assumed in the quiescent state. Expansion may destabilize the bubble by raising the capillary number above the critical threshold under which stationary shapes can be found.
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Hassine, Maatoug, and Mohamed Masmoudi. "The topological asymptotic expansion for the Quasi-Stokes problem." ESAIM: Control, Optimisation and Calculus of Variations 10, no. 4 (October 2004): 478–504. http://dx.doi.org/10.1051/cocv:2004016.

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Ólafsdóttir, E. I., A. B. Olde Daalhuis, and J. Vanneste. "Stokes-multiplier expansion in an inhomogeneous differential equation with a small parameter." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (June 15, 2005): 2243–56. http://dx.doi.org/10.1098/rspa.2005.1479.

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Accurate approximations to the solutions of a second-order inhomogeneous equation with a small parameter ϵ are derived using exponential asymptotics. The subdominant homogeneous solutions that are switched on by an inhomogeneous solution through a Stokes phenomenon are computed. The computation relies on a resurgence relation, and it provides the ϵ -dependent Stokes multiplier in the form of a power series. The ϵ -dependence of the Stokes multiplier is related to constants of integration that can be chosen arbitrarily in the WKB-type construction of the homogeneous solution. The equation under study governs the evolution of special solutions of the Boussinesq equations for rapidly rotating, strongly stratified fluids. In this context, the switching on of subdominant homogeneous solutions is interpreted as the generation of exponentially small inertia–gravity waves.
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Khuri, Suheil A. "Biorthogonality condition for creeping motion in annular trenches." International Journal of Mathematics and Mathematical Sciences 24, no. 9 (2000): 613–16. http://dx.doi.org/10.1155/s0161171200004002.

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The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the corresponding Stokes flow problem.
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Antonov, Nikolay, Nikolay Gulitskiy, Maria Kostenko, and Tomáš Lučivjanský. "Passive Advection of a Vector Field by Compressible Turbulent Flow: Renormalizations Group Analysis near d = 4." Universe 5, no. 1 (January 18, 2019): 37. http://dx.doi.org/10.3390/universe5010037.

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The renormalization group approach and the operator product expansion technique are applied to the model of a passively advected vector field by a turbulent velocity field. The latter is governed by the stochastic Navier-Stokes equation for a compressible fluid. The model is considered in the vicinity of space dimension d = 4 and the perturbation theory is constructed within a double expansion scheme in y and ε = 4 − d , where y describes scaling behaviour of the random force that enters the Navier-Stokes equation. The properties of the correlation functions are investigated, and anomalous scaling and multifractal behaviour are established. All calculations are performed in the leading order of y, ε expansion (one-loop approximation).
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Dissertations / Theses on the topic "Stokes expansion"

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Balloumi, Imen. "Expansion asymptotique pour des problèmes de Stokes perturbés - Calcul des intégrales singulières en Électromagnétisme." Thesis, Cergy-Pontoise, 2018. http://www.theses.fr/2018CERG0958/document.

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La premième partie a pour but l’établissement d’un développement asymptotique pour la solution du problème de Stokes avec une petite perturbation du domaine. Dans ce travail, nous avons appliqué la théorie du potentiel. On a écrit les solutions du problème non-perturbé et du problème perturbé sous forme des opérateurs intégraux. En calculant la différence, et en utilisant des propriétés liées aux noyaux des opérateurs on a établi un développement asymptotiquede la solution.L’objectif principal de la deuxième partie de ce rapport est de déterminer les termes d’ordre élevé de l’expansion asymptotique des valeurs propres et fonctions propres pour l’opérateur de Stokes dues aux changements d’interface de l’inclusion. Dans la troisième partie, nous proposons une méthode pour l’évaluation des integrales singulières provenant de la mise en oeuvre de la méthode des éléments finis de frontière en électromagnetisme. La méthodeque nous adoptons consiste en une réduction récursive de la dimension du domained’intégration et aboutit à une représentation de l’intégrale sous la forme d’une combinaison linéaire d’intégrales mono-dimensionnelles dont l’intégrand est régulier et qui peuvent s’évaluer numériquement mais aussi explicitement. Pour la discrétisation du domaine, destriangles plans sont utilisés ; par conséquent, nous évaluons des intégrales sur le produit de deux triangles. La technique que nous avons développée nécessite de distinguer entre diverses configurations géométriques
This thesis contains three main parts. The first part concerns the derivation of an asymptotic expansion for the solution of Stokes resolvent problem with a small perturbation of the domain. Firstly, we verify the continuity of the solution with respect to the small perturbation via the stability of the density function. Secondly, we derive the asymptotic expansion ofthe solution, after deriving the expansion of the density function. The procedure is based on potential theory for Stokes problem in connection with boundary integral equation method, and geometric properties of the perturbed boundary. The main objective of the second part on this report, is to present a schematic way to derive high-order asymptotic expansions for both eigenvalues and eigenfunctions for the Stokes operator caused by small perturbationsof the boundary. Also, we rigorously derive an asymptotic formula which is in some sense dual to the leading-order term in the asymptotic expansion of the perturbations in the Stokes eigenvalues due to interface changes of the inclusion. The implementation of the boundary element method requires the evaluation of integrals with a singular integrand. A reliable andaccurate calculation of these integrals can in some cases be crucial and difficult. In the third part of this report we propose a method of evaluation of singular integrals based on recursive reductions of the dimension of the integration domain. It leads to a representation of the integralas a linear combination of one-dimensional integrals whose integrand is regular and that can be evaluated numerically and even explicitly. The Maxwell equation is used as a model equation, but these results can be used for the Laplace and the Helmholtz equations in 3-D.For the discretization of the domain we use planar triangles, so we evaluate integrals over the product of two triangles. The technique we have developped requires to distinguish between several geometric configurations
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CONTI, THADEU das N. "Aplicação do método da expansão em funções hierárquicas na solução das equações de navier-Stokes em duas dimensões para fluidos compressíveis em alta velocidade." reponame:Repositório Institucional do IPEN, 2006. http://repositorio.ipen.br:8080/xmlui/handle/123456789/11592.

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Tese (Doutoramento)
IPEN/T
Escola Politécnica, Universidade de Sao Paulo - POLI/USP
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Bagge, Joar. "Numerical simulation of an inertial spheroidal particle in Stokes flow." Thesis, KTH, Numerisk analys, NA, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-180290.

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Particle suspensions occur in many situations in nature and industry. In this master’s thesis, the motion of a single rigid spheroidal particle immersed in Stokes flow is studied numerically using a boundary integral method and a new specialized quadrature method known as quadrature by expansion (QBX). This method allows the spheroid to be massless or inertial, and placed in any kind of underlying Stokesian flow.   A parameter study of the QBX method is presented, together with validation cases for spheroids in linear shear flow and quadratic flow. The QBX method is able to compute the force and torque on the spheroid as well as the resulting rigid body motion with small errors in a short time, typically less than one second per time step on a regular desktop computer. Novel results are presented for the motion of an inertial spheroid in quadratic flow, where in contrast to linear shear flow the shear rate is not constant. It is found that particle inertia induces a translational drift towards regions in the fluid with higher shear rate.
Partikelsuspensioner förekommer i många sammanhang i naturen och industrin. I denna masteruppsats studeras rörelsen hos en enstaka stel sfäroidisk partikel i Stokesflöde numeriskt med hjälp av en randintegralmetod och en ny specialiserad kvadraturmetod som kallas quadrature by expansion (QBX). Metoden fungerar för masslösa eller tröga sfäroider, som kan placeras i ett godtyckligt underliggande Stokesflöde.   En parameterstudie av QBX-metoden presenteras, tillsammans med valideringsfall för sfäroider i linjärt skjuvflöde och kvadratiskt flöde. QBX-metoden kan beräkna kraften och momentet på sfäroiden samt den resulterande stelkroppsrörelsen med små fel på kort tid, typiskt mindre än en sekund per tidssteg på en vanlig persondator. Nya resultat presenteras för rörelsen hos en trög sfäroid i kvadratiskt flöde, där skjuvningen till skillnad från linjärt skjuvflöde inte är konstant. Det visar sig att partikeltröghet medför en drift i sidled mot områden i fluiden med högre skjuvning.
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Otto, Katharina. "Raman-Spektroskopie kleiner Moleküle und Molekülaggregate im Überschallstrahl nach thermischer Anregung." Doctoral thesis, Niedersächsische Staats- und Universitätsbibliothek Göttingen, 2015. http://hdl.handle.net/11858/00-1735-0000-0022-6045-7.

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Mittels spontaner Raman-Streuung im Überschallstrahl wurden kleine Moleküle und Molekülaggregate untersucht. Es wird gezeigt wie Schwingungs- und Rotationstemperaturen im Jet mittels des Stokes/Anti-Stokes-Intensitätsverhältnisses bestimmt werden können. In Studien kleiner Wassercluster konnten Kopplungskonstanten der gebundenen OH-Oszillatoren verschiedener Ringcluster von Trimeren bis Pentameren bestimmt werden, die auch zum Verständnis der Dynamik in kondensierten Phasen relevant sind. Außerdem wird die experimentelle Ermittlung von Enthalpiedifferenzen verschiedener Monomerkonformere zweier isomerisierungsdynamisch sehr unterschiedlicher Systeme vorgestellt. Des Weiteren wurde die Weiterentwicklung der bestehenden Raman-Technik durch Kopplung mit einer IR-Laseranregung realisiert und erste Tests des neuen Aufbaus durch Studien des Methanol-Dimers durchgeführt.
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Divaret, Lise. "U-RANS Simulation of fluid forces exerted upon an oscillating tube array." Thesis, KTH, Farkost och flyg, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-32747.

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The aim of this master thesis is to characterize the fluid forces applied to a fuel assembly inthe core of a nuclear power plant in case of seism. The forces are studied with a simplifiedtwo-dimensional model constituted of an array of 3 by 3 infinite cylinders oscillating in aclosed box. The axial flow of water, which convects the heat in the core of a nuclear powerplant, is also taken into account. The velocity of the axial flow reaches 4m/s in the middle ofthe assembly and modifies the forces features when the cylinders move laterally.The seism is modeled as a lateral displacement with high amplitude (several cylinderdiameters) and low frequencies (below 20 Hz). In order to study the effects of the amplitudeand of the frequency of the displacement, the displacement taken is a sine function withboth controlled amplitude and frequency. Four degrees of freedom of the system will bestudied: the amplitude of the displacement, its frequency, the axial velocity amplitude andthe confinement (due to the closed box).The fluid forces exerted on the cylinders can be seen as a combination of three terms: anadded mass, related to the acceleration of cylinders, a drift force, related to the damping ofthe fluid and a force due to the interaction of the cylinder with residual vortices. The firsttwo components will be characterized through the Morison expansion, and their evolutionwith the variation of the degree of freedom of the system will be quantified. The effect ofthe interaction with the residual vortices will be observed in the plots of the forces vs. timebut also in the velocity and vorticity map of the fluid.The fluid forces are calculated with the CFD code Code_Saturne, which uses a second orderaccurate finite volume method. Unsteady Reynolds Averaged Navier Stokes simulations arerealized with a k-epsilon turbulence model. The Arbitrary Lagrange Euler model is used todescribe the structure displacement. The domain is meshed with hexahedra with thesoftware gmsh [1] and the flow is visualized with Paraview [2]. The modeling techniquesused for the simulations are described in the first part of this master thesis.
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Ishizaka, Rodrigo Koiti. "Estudos numéricos para escoamentos viscoelásticos com a viscosidade dependendo da pressão." Universidade Estadual Paulista (UNESP), 2018. http://hdl.handle.net/11449/153473.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
O presente trabalho de mestrado consiste em apresentar uma modelagem para escoamentos isotérmicos viscoelásticos em que a viscosidade varia de acordo com a pressão e estudos numéricos para alguns problemas bidimensionais, como escoamentos entre placas paralelas e expansão planar 1:4. Para este trabalho é utilizado o modelo viscoelástico Oldroyd-B e uma modelagem linear da viscosidade com relação a pressão. O método numérico desenvolvido é baseado no método da projeção para desacoplar velocidade e pressão nas equações de Navier-Stokes e depois calcula os tensores pela equação constitutiva com a informação da viscosidade variando com a pressão. As equações são discretizadas em uma malha deslocada pelo método de diferenças finitas. Os resultados numéricos são obtidos das simulações de escoamentos em um canal e expansão planar 1:4 bidimensional, cujo foco é destacar algumas diferenças entre o modelo Oldroyd-B Standard e o modelo Oldroyd-B sob influência da viscosidade que varia linearmente com a pressão. Este trabalho de mestrado também tem por objetivo resolver problemas, com fluidos viscoelásticos, em que haja regiões com variações da pressão e estudar estes resultados numéricos comparando-os com o modelo Oldroyd-B Standard.
The present master's work consists in presenting a model for viscoelastic isothermal flows with pressure-dependent viscosity and numerical studies for some two-dimensional problems, such as channel flow and planar expansion 1:4. In this work will be considered the Oldroyd-B viscoelastic model and a linear modeling viscosity with a linear relationship between viscosity and pressure. The numerical method developed is based on the projection method to decouple velocity and pressure in the Navier-Stokes equations and then calculates the tensor from the constitutive equation taking account the pressure-dependent viscosity. The equations are discretized on a staggered grid by using the finite diference method. The numerical results are obtained for two problems: two-dimensional channel and planar expansion 1:4 flows, whose focus is to highlight some diferences between the standard Oldroyd-B model and the Oldroyd-B model under the influence of viscosity that varies linearly with pressure. This master's work aims to solve problems of viscoelastic fluids in which there exist regions where pressure varies and to study these numerical results comparing them with the standard Oldroyd-B model.
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Morris-Thomas, Michael. "An investigation into wave run-up on vertical surface piercing cylinders in monochromatic waves." University of Western Australia. School of Oil and Gas Engineering, 2003. http://theses.library.uwa.edu.au/adt-WU2004.0010.

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[Formulae and special characters can only be approximated here. Please see the pdf version of the abstract for an accurate reproduction.] Wave run-up is the vertical uprush of water when an incident wave impinges on a free- surface penetrating body. For large volume offshore structures the wave run-up on the weather side of the supporting columns is particularly important for air-gap design and ultimately the avoidance of pressure impulse loads on the underside of the deck structure. This investigation focuses on the limitations of conventional wave diffraction theory, where the free-surface boundary condition is treated by a Stokes expansion, in predicting the harmonic components of the wave run-up, and the presentation of a simplified procedure for the prediction of wave run-up. The wave run-up is studied on fixed vertical cylinders in plane progressive waves. These progressive waves are of a form suitable for description by Stokes' wave theory whereby the typical energy content of a wave train consists of one fundamental harmonic and corresponding phase locked Fourier components. The choice of monochromatic waves is indicative of ocean environments for large volume structures in the diffraction regime where the assumption of potential flow theory is applicable, or more formally A/a < Ο(1) (A and a being the wave amplitude and cylinder radius respectively). One of the unique aspects of this work is the investigation of column geometry effects - in terms of square cylinders with rounded edges - on the wave run-up. The rounded edges of each cylinder are described by the dimensionless parameter rc/a which denotes the ratio of edge corner radius to half-width of a typical column with longitudinal axis perpendicular to the quiescent free-surface. An experimental campaign was undertaken where the wave run-up on a fixed column in plane progressive waves was measured with wire probes located close to the cylinder. Based on an appropriate dimensional analysis, the wave environment was represented by a parametric variation of the scattering parameter ka and wave steepness kA (where k denotes the wave number). The effect of column geometry was investigated by varying the edge corner radius ratio within the domain 0 <=rc/a <= 1, where the upper and lower bounds correspond to a circular and square shaped cylinder respectively. The water depth is assumed infinite so that the wave run-up caused purely by wave-structure interaction is examined without the additional influence of a non-decaying horizontal fluid velocity and finite depth effects on wave dispersion. The zero-, first-, second- and third-harmonics of the wave run-up are examined to determine the importance of each with regard to local wave diffraction and incident wave non-linearities. The modulus and phase of these harmonics are compared to corresponding theoretical predictions from conventional diffraction theory to second-order in wave steepness. As a result, a basis is formed for the applicability of a Stokes expansion to the free-surface boundary condition of the diffraction problem, and its limitations in terms of local wave scattering and incident wave non-linearities. An analytical approach is pursued and solved in the long wavelength regime for the interaction of a plane progressive wave with a circular cylinder in an ideal fluid. The classical Stokesian assumption of infinitesimal wave amplitude is invoked to treat the free-surface boundary condition along with an unconventional requirement that the cylinder width is assumed much smaller than the incident wavelength. This additional assumption is justified because critical wavelengths for wave run-up on a fixed cylinder are typically much larger in magnitude than the cylinder's width. In the solution, two coupled perturbation schemes, incorporating a classical Stokes expansion and cylinder slenderness expansion, are invoked and the boundary value problem solved to third-order. The formulation of the diffraction problem in this manner allows for third-harmonic diffraction effects and higher-order effects operating at the first-harmonic to be found. In general, the complete wave run-up is not well accounted for by a second-order Stokes expansion of the free-surface boundary condition and wave elevation. This is however, dependent upon the coupling of ka and kA. In particular, whilst the modulus and phase of the second-harmonic are moderately predicted, the mean set-up is not well predicted by a second-order Stokes expansion scheme. This is thought to be caused by higher than second-order non-linear effects since experimental evidence has revealed higher-order diffraction effects operating at the first-harmonic in waves of moderate to large steepness when k < < 1. These higher-order effects, operating at the first-harmonic, can be partially accounted for by the proposed long wavelength formulation. For small ka and large kA, subsequent comparisons with measured results do indeed provide a better agreement than the classical linear diffraction solution of Havelock (1940). To account for the complete wave run-up, a unique approach has been adopted where a correction is applied to a first-harmonic analytical solution. The remaining non-linear portion is accounted for by two methods. The first method is based on regression analysis in terms of ka and kA and provides an additive correction to the first-harmonic solution. The second method involves an amplification correction of the first-harmonic. This utilises Bernoulli's equation applied at the mean free-surface position where the constant of proportionality is empirically determined and is inversely proportional to ka. The experimental and numerical results suggest that the wave run-up increases as rc/a--› 0, however this is most significant for short waves and long waves of large steepness. Of the harmonic components, experimental evidence suggests that the effect of a variation in rc/a on the wave run-up is particularly significant for the first-harmonic only. Furthermore, the corner radius effect on the first-harmonic wave run-up is well predicted by numerical calculations using the boundary element method. Given this, the proposed simplified wave run-up model includes an additional geometry correction which accounts for rc/a to first-order in local wave diffraction. From a practical view point, it is the simplified model that is most useful for platform designers to predict the wave run-up on a surface piercing column. It is computationally inexpensive and the comparison of this model with measured results has proved more promising than previously proposed schemes.
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Horrobin, Calum. "Stokes' Phenomenon arising from the confluence of two simple poles." Thesis, Loughborough University, 2018. https://dspace.lboro.ac.uk/2134/28357.

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We study certain confluences of equations with two Fuchsian singularities which produce an irregular singularity of Poincaré rank one. We demonstrate a method to understand how to pass from solutions with power-like behavior which are analytic in neighbourhoods to solutions with exponential behavior which are analytic in sectors and have divergent asymptotic behavior. We explicitly calculate the Stokes' matrices of the confluent system in terms of the monodromy data, specifically the connection matrices, of the original system around the merging singularities. The confluence of Gauss' hypergeometric equation gives an excellent opportunity to show our approach with a concrete example. We explicitly show how the Stokes' data arise in the confluences of the isomonodromic deformation problems for the Painlevé equations PVI to PV and PV to PIII(D6).
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LIMA, Wandenberg Bismarck Colaço. "Incorporação de resíduos em argamassas expansiva para lavra de rochas ornamentais." Universidade Federal de Campina Grande, 2014. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/171.

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Made available in DSpace on 2017-12-01T15:29:59Z (GMT). No. of bitstreams: 1 WANDENBERG BISMARK COLAÇO LIMA - TESE PPGCEMAT 2014.pdf: 5505255 bytes, checksum: a7cbe5978f9e1752dac3df3b7238fc4d (MD5) Previous issue date: 2014-08-30
A indústria de lavra e beneficiamento de rochas ornamentais vem sendo citadas pelos ambientalistas como uma grande fonte de contaminação e poluição do meio ambiente, devido à enorme quantidade de resíduos gerados e que frequentemente são lançados diretamente nos ecossistemas. Por outro lado o emprego de argamassa expansiva para demolição e corte de rochas, vem sendo uma das mais procuradas tecnologias de corte utilizadas pelas indústrias extrativas, por suas inúmeras vantagens, ante outras tecnologias de corte utilizadas na lavra de rochas ornamentais. Assim o objetivo deste trabalho é estudar a viabilidade da incorporação na argamassa expansiva de demolição de resíduos dos processos de lavra e beneficiamento de rochas ornamentais além do caulim e gesso. Para tanto, foram realizados ensaios de caracterização de duas argamassas expansivas comerciais dos resíduos gerados nos processos de lavra e beneficiamento do granito do caulim e do gesso, avaliando-se a influência do percentual de incorporação e da granulometria dos mesmos no desempenho da argamassa expansiva. Concluindo-se que é possível a incorporação do caulim, do gesso e dos resíduos do beneficiamento de granitos e do pó da perfuração do granito, como carga nas argamassas expansiva, sem perdas consideráveis da pressão de expansão, para utilização em corte de rochas na lavra de rochas ornamentais.
The mining industry and processing of ornamental rocks has been cited by environmentalists as a major source of contamination and pollution of the environment, due to the enormous amount of waste generated and which often are released directly in the ecosystems. On the other hand the use of expansive grout for demolition and cutting of rocks, has been one of the most sought after cutting technologies used by extractive industries, for its numerous advantages, compared to other cutting technologies used in the ornamental rock mining. So the aim of this work is to study the feasibility of incorporation into the expansive mortar demolition waste from mining processes and processing of ornamental rocks beyond the kaolin and gypsum. For both tests were carried out to characterize two expansive commercial mortars of waste generated in the processes of mining and processing kaolin and granite plaster, by evaluating the influence of percentage of incorporation and the granulometry of the same expansive mortar performance. In conclusion-if that is possible the incorporation of kaolin, gypsum and waste from processing of Granites and granite drilling dust, as cargo on the expansive mortar, without considerable losses of the expansion pressure for use in cutting of rocks in the ornamental rock mining.
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Albin, Eric. "Contribution à la modélisation numérique des flammes turbulentes : comparaison DNS-EEM-Expériences." Phd thesis, INSA de Rouen, 2010. http://tel.archives-ouvertes.fr/tel-00557908.

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La dynamique des flammes de prémélange est étudiée par deux approches numériques différentes. La première résout les équations compressibles de Navier-Stokes avec une chimie simplifiée (DNS). Afin de réduire les coûts de calcul, nous analysons et développons un schéma numérique à grille décalée. Le traitement des ondes acoustiques aux sorties est connu pour rendre les flammes cylindriques légèrement carrées. Ces déformations non-physiques sont expliquées en mettant en évidence la modélisation insuffisamment précise de l'accélération du fluide lorsque l'écoulement est oblique à la sortie. Une étude paramétrique et statistique de flammes turbulentes est menée en 2D et une simulation parallèle 3D est réalisée dans un domaine de (3cm)3. En considérant la flamme infiniment mince, l'approche EEM diminue considérablement les coûts de calcul. Les mêmes simulations sont réalisées et comparées aux résultats de DNS pour tester la capacité du modèle EEM à fournir des résultats quantitatifs.
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Books on the topic "Stokes expansion"

1

Xu, Kun. Regularization of the Chapman-Enskog expansion and its descriprion of shock structure. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2001.

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Sabbah, Claude. Introduction to Stokes Structures. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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San Francisco (Calif.). Planning Dept. Neiman Marcus Expansion Project: Final environmental impact report. San Francisco, CA: The Planning Dept., 1999.

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Antelyes, Peter. Tales of adventurous enterprise: Washington Irving and the poetics of Western expansion. New York: Columbia University Press, 1990.

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War at Nugget Creek. England: Golden West Large Print Books, 2012.

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Haq, Iftikharul. Evaluation of introduced scion and rootstock cultivars, selection for expansion of persimon, pome and nut fruits project in northern area of N.W.F.P. Pakistan: Final technical report (1st May, 1981 to 30th April, 1988). Tarnab, (Peshawar) N.W.F.P., Pakistan: Agricultural Research Institute, 1988.

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Manifest and other destinies: Territorial fictions of the nineteenth-century United States. Lincoln: University of Nebraska Press, 2004.

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C, Asbury Scott, and Langley Research Center, eds. Experimental and computational investigation of a translating-throat, single-expansion-ramp nozzle. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1999.

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C, Asbury Scott, and Langley Research Center, eds. Experimental and computational investigation of a translating-throat, single-expansion-ramp nozzle. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1999.

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Center, Langley Research, ed. Chemical vapor deposition fluid flow simulation modelling tool. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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Book chapters on the topic "Stokes expansion"

1

Boyd, John P. "Stokes’ Expansion, Resonance & Polycnoidal Waves." In Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics, 106–31. Boston, MA: Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5825-5_5.

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Panasenko, Grigory P., and Ruxandra Stavre. "Well Posedness and Asymptotic Expansion of Solution of Stokes Equation Set in a Thin Cylindrical Elastic Tube." In Around the Research of Vladimir Maz'ya II, 275–301. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-1343-2_13.

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Alhussan, Khaled. "Numerical Solution of Navier-Stokes Equations for Separating and Reattaching Flow over a Double Steps Expansion and Contraction." In Fluid Machinery and Fluid Mechanics, 201–5. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89749-1_28.

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Bergh, S. "Two Stepping Stones to the Hubble Constant." In Galaxy Distances and Deviations from Universal Expansion, 41–44. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4702-3_8.

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Kröner, Dietmar. "Asymptotic expansions for a flow with a dynamic contact angle." In The Navier-Stokes Equations Theory and Numerical Methods, 49–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0086054.

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Bailey, Jennifer L. "States, Stocks, and Sovereignty: High Seas Fishing and the Expansion of State Sovereignty." In Conflict and the Environment, 215–34. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8947-5_14.

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Milne, Eleanor, Carlos Eduardo P. Cerri, and João Luis Nunes Carvalho. "Agricultural expansion in the Brazilian state of Mato Grosso; implications for C stocks and greenhouse gas emissions." In Tropical Rainforests and Agroforests under Global Change, 447–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-00493-3_21.

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Phan-Thien, Nhan, and Sangtae Kim. "Multipole Expansion and Rigid Inclusions." In Microstructures in Elastic Media. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195090864.003.0004.

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In the previous chapter, we showed how various integral representations arise in the theory of elasticity. All of these representations can be thought of as a surface distribution of various types of singularity solutions. One can go a step further and consider either a finite pointwise or a continuous line, surface, or volume distribution of some suitable singularity solutions; the points on which the singularity solutions reside may not necessarily coincide with points on the surface of the domain. In fact, one may wish to include in the distribution any solution of the Navier equations, not necessarily singular. Such an approach is known as the method of fundamental solution, or simply the singularity method. It has been well developed in Stokes flow, mostly in relation to slender body motion, but to a lesser extent in the theory of elasticity. The method lacks a rigorous theoretical foundation, but is easy to implement numerically, since there is no singular integral to be considered. In the boundary element literature, it is sometimes known as Trefftz method, or the indirect discrete method (Patterson et al.). In this chapter, we will look at some of the elements of the method, namely, the singularity solutions, the far-field expansion (multipole expansion) and some related topics. In the search for suitable solutions of the Navier equations, we may seek guidance from general representations (i.e., general solutions of the Navier equations); the most well known is the Papkovich-Neuber solution.
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Cabral, E. L. L., and G. Sabundjian. "Hierarchical expansion method in the solution of the Navier-Stokes equations for incompressible fluids in laminar two-dimensional flow." In Computational Fluid and Solid Mechanics, 795–98. Elsevier, 2001. http://dx.doi.org/10.1016/b978-008043944-0/50772-1.

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Speed, Shannon. "Carceral Containments." In Incarcerated Stories, 68–91. University of North Carolina Press, 2019. http://dx.doi.org/10.5149/northcarolina/9781469653129.003.0004.

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This chapter examines women’s experience in the United States, particularly in immigration detention. It considers the expansion of immigration into private, for-profit prison industry and outlines the multiple violences and human rights violations that the detention of refugees imply.
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Conference papers on the topic "Stokes expansion"

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Tumin, Anatoli. "LST and the Eigenfunction Expansion Method for Linearized Navier-Stokes Equations -- a Summary." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-0105.

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PANASENKO, G. "ASYMPTOTIC EXPANSION OF THE SOLUTION OF STOKES EQUATION IN TUBE STRUCTURE AND PARTIAL DECOMPOSITION OF THE DOMAIN." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812817617_0013.

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Gikadi, Jannis, Moritz Schulze, J. Schwing, Stephan Foeller, and Thomas Sattelmayer. "Linearized Navier-Stokes and Euler Equations for the Determination of the Acoustic Scattering Behaviour of an Area Expansion." In 18th AIAA/CEAS Aeroacoustics Conference (33rd AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-2292.

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Chein, Reiyu, and Baogan Chung. "Electrokinetic Transport in Micro-Nanofluidic Systems With Sudden-Expansion and Contraction Cross Sections." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18120.

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In this study, electrokinetic transport in a micro-nanofluidic system is numerically investigated by solving the transient Poisson, Nernst-Planck, and Navier-Stokes equations simultaneously. The system considered is a nanochannel connected with two microchannels at its ends. Under various applied electric potential biases, the effect of concentration polarization on the fluid flow, induced pressure and electric current is examined. By comparing with the Donnan equilibrium condition and electroosmotic flow in microscale dimension, electric body force due to non-zero charge density is the mechanism for producing vortex flow and inducing positive pressure gradient in the anodic side of the system. The diffusive boundary layer thickness is reduced due to the stirring of the generated vortex flow and results in the over-limiting current when the applied electric potential bias is high.
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Ota, Terukazu, Masafumi Mori, and Hiroyuki Yoshikawa. "Numerical Simulation of Three-Dimensional Separated Flow and Heat Transfer in a Sudden-Expansion Channel." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31094.

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Numerical results of three-dimensional laminar separated and reattached flow and heat transfer in a suddenly-expanded rectangular channel are presented in this paper. Numerical calculations of Navier-Stokes equations and energy one are carried out using the finite difference method for three aspect ratios of 1.0, 2.0 and 4.0 at Reynolds numbers from 100 to 500. It is found that streamwise vortex pairs are generated, and their induced velocities shrink the major axis side of core flow, bringing about the flow toward the channel center line. Further, the minor axis moves outward as carrying the core fluid. Heat transfer mechanism in these mixing processes of flow is clarified.
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Childress, Stephen. "Inertial Swimming as a Singular Perturbation." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2294.

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The swimming of a sheet, originally treated by G.I. Taylor (1951) for the case of Stokes flow, is considered at moderate and high Reynolds numbers using matched asymptotic expansions. It is shown that for propagating waves with frequency ω, wavenumber k, and amplitude b, the swimming speed must be deduced from a dual expansion in powers of the small parameters bkR1/2 and R−1/2, where R = ω/νk2 is the Reynolds number. The result of Tuck (1968) for the leading term of the swimming velocity is recovered, and higher-order results are given. For the case of a planar, stretching sheet, the expansion is in powers of bk and R−1/2 and a limit for large R is obtained as a boundary layer. We contrast these results with the inviscid case, where no swimming is possible. We also consider briefly the application of these ideas to “recoil swimming”, wherein the movements of the center of mass and center of volume of a body allow swimming at both finite and infinite Reynolds numbers.
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Silva, Roseane L., Carlos A. C. Santos, Joa˜o N. N. Quaresma, and Renato M. Cotta. "Hybrid Solution for Developing Laminar Flow in Wavy-Wall Channels via Integral Transforms." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42965.

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The analysis of two-dimensional laminar flow in the entrance region of arbitrarily shaped ducts is undertaken by application of the Generalized Integral Transform Technique (GITT) in the solution of the steady Navier-Stokes equations for incompressible flow. The streamfunction-only formulation is adopted, and a general filtering solution that adapts to the irregular contour is proposed to enhance the convergence behavior of the eigenfunction expansion. The case of a wavy-wall channel is then considered more closely in order to report some numerical results illustrating the expansions convergence behavior. In addition to reporting results of streamfunction, the product of friction factor-Reynolds number is also calculated and compared against results from discrete methods available in the literature for different Reynolds numbers and amplitudes of the wavy channel.
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Moreau, S., S. Aubert, M. N’Diaye, and P. Ferrand. "Parametic Study of a Fan Blade Cascade Using a New Parametric Flow Solver Turb’Opty." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45116.

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The newly developed parameterized CFD solver Turb’Opty™, based on a Taylor series expansion to high order derivatives of the solutions of the discretized Navier-Stokes equations, has been successfully applied to the turbulent incompressible flow field of an engine cooling fan blade cascade. Comparisons with the classical CFD results have validated the accuracy of the parameterized solutions obtained by a simple polynomial reconstruction around a reference solution with respect to two different flow parameters for two different cases: a fifth order expansion with respect to these coupled parameters for a frozen turbulence and a first order expansion with respect to each parameter for a variable turbulence. The latter is found to have a better accuracy and a larger range of application. Starting from a reference solution obtained with another commercial code has also been successfully tested. Finally, further industrial perspectives of turbomachinery global optimization are finally demonstrated by coupling this method with a simple genetic algorithm.
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Moreau, S., S. Aubert, G. Grondin, and D. Casalino. "Geometric Parametric Study of a Fan Blade Cascade Using the New Parametric Flow Solver Turb’Opty." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56831.

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The newly developed parameterized CFD solver Turb’Opty™, based on a Taylor series expansion to high order derivatives of the solutions of the discretized Navier-Stokes equations, has been successfully extended to the geometric parameterization of an engine cooling fan blade cascade. It involves the development of a pre-processor Turb’Mesh™ that smoothly parameterizes the reference grid for the selected three parameters: the stagger angle, the pitch and the chord length. Comparisons with direct Turb’Flow™ CFD results have validated the accuracy of the parameterized solutions obtained by a simple polynomial reconstruction around a reference solution with respect to the three geometric parameters for a first order expansion with respect to each parameter for a variable turbulence. Cross correlation between the pitch and the chord variations have also validated the consistency of the parameterization.
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Landfried, D. Tyler, A. Jana, and M. L. Kimber. "Characterization of the Behavior of Confined Laminar Round Jets." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72257.

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Confined laminar fluid jets have many practical applications in industry. Several examples include expansions in pipes and flow of gas into a large plenum. While much consideration has been given experimentally to heat transfer and pressure gradients within the confinement, little attention has been paid to quantify the velocity profiles and transitions between various flow behaviours. Using a finite volume CFD code, OpenFOAM ®, the Navier-Stokes equations were solved for varying expansion ratio, 1/ε = renclosure/rj, and varying Reynolds numbers. In the present analysis, Reynolds number based on the inlet jet diameter is varied from 30 to 70, well within the accepted range for laminar jet behavior. The expansion ratio, 1/ε is varied from 20–200. Of primary focus in the current study are compact correlations for the jet centreline velocity as a function of jet Reynolds number, Rej and expansion ratio. Similar functional dependences for the “linear” decay region of the jet, and the location of the stagnation point on the enclosure wall, are also investigated. These are all important features of the global flow field for the confined jet. Results suggest that initially, the flow characteristics are identical to a free jet. At some downstream location, the presence of the enclosure is felt by the jet and deviations begin to be seen from free jet behavior. This transition region continues until at a sufficiently large downstream location, the flow becomes fully developed, internal Poiseuille flow. In this paper, we analyse these transition regions and offer explanations and practical correlations to successfully predict the important flow physics that occur between free jet behavior and Poiseuille flow. Key dimensionless parameters are identified, the magnitude of which can be used to classify the flow conditions.
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Reports on the topic "Stokes expansion"

1

Lee, Lance, David Horth, and Chris Ernst. Boundary Spanning in Action: Tactics for Transforming Today's Borders into Tomorrow's Frontiers. Center for Creative Leadership, 2014. http://dx.doi.org/10.35613/ccl.2014.2044.

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In this restless world, leaders face complex challenges that can be solved only by building bridges across expansive boundaries. In this second of two CCL white papers on boundary spanning, we share some success stories and outline some tactics that you can use right away to bridge boundaries in your organization.
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