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Analyse mathématique de l'équation de Galbrun en écoulement uniforme 均匀流动Galbrun方程的数学分析
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-08-01 DOI: 10.1016/S1620-7742(01)01373-3
Anne-Sophie Bonnet-Ben Dhia , Guillaume Legendre , Éric Lunéville
{"title":"Analyse mathématique de l'équation de Galbrun en écoulement uniforme","authors":"Anne-Sophie Bonnet-Ben Dhia ,&nbsp;Guillaume Legendre ,&nbsp;Éric Lunéville","doi":"10.1016/S1620-7742(01)01373-3","DOIUrl":"10.1016/S1620-7742(01)01373-3","url":null,"abstract":"<div><p>We consider Galbrun's equation, used in linear aeroacoustics. For a simple case (rigid duct with uniform flow) in the time harmonic regime, we show that an approach based on a regularized variational formulation of the problem ensures the convergence of a nodal finite-element method.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 8","pages":"Pages 601-606"},"PeriodicalIF":0.0,"publicationDate":"2001-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01373-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91374232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
Un opérateur de diffusion spatialement sélectif pour le transport d'un traceur passif ou actif par un écoulement de grande échelle 一种空间选择性扩散算子，用于通过大规模流传输被动或主动示踪剂
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01359-9
Thomas Dubos
{"title":"Un opérateur de diffusion spatialement sélectif pour le transport d'un traceur passif ou actif par un écoulement de grande échelle","authors":"Thomas Dubos","doi":"10.1016/S1620-7742(01)01359-9","DOIUrl":"10.1016/S1620-7742(01)01359-9","url":null,"abstract":"<div><p>In a fluid flow, fields are measurable up to a cut-off scale at which they are regularized. We show that, for a smooth velocity field, this regularization adds to the advection equation a diffusive term proportional to the strain tensor. We study in two dimensions its effect on the dynamics of velocity and vorticity, and on the conservation of quadratic invariants. Vorticity and energy are still conserved, while enstrophy and tracer variance are dissipated depending on the flow topology. These properties (conservation, dissipation, spatial selectivity) suggest the use of this selective strain–diffusion operator for numerical simulations of inhomogeneous flows in the quasi-two-dimensional approximation.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 509-516"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01359-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77067953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Modélisation de l'effet de portance dans un écoulement à bulles 气泡流动中升力效应的建模
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01365-4
Mohamed Taqi
{"title":"Modélisation de l'effet de portance dans un écoulement à bulles","authors":"Mohamed Taqi","doi":"10.1016/S1620-7742(01)01365-4","DOIUrl":"10.1016/S1620-7742(01)01365-4","url":null,"abstract":"<div><p>We propose here a lift coefficient modeling in a turbulent bubbly boundary layer under the assumption of bidimensional stationary and vertical upward fully developed flow. The basic frame of this approach is to consider that the volumetric flux of bubbles is composed of the convective flux by the liquid, the contribution by the gravitational field and those of the lift force and the bubble dispersion terms. A discussion of results completes this study.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 541-548"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01365-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88157290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Original use of electrical conductivity for void detection due to injection conditions of composite materials 由于复合材料的注射条件，原来使用电导率进行空隙检测
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01363-0
Ludovic Labat , Michel Grisel , Joël Breard , Guy Bouquet
{"title":"Original use of electrical conductivity for void detection due to injection conditions of composite materials","authors":"Ludovic Labat ,&nbsp;Michel Grisel ,&nbsp;Joël Breard ,&nbsp;Guy Bouquet","doi":"10.1016/S1620-7742(01)01363-0","DOIUrl":"10.1016/S1620-7742(01)01363-0","url":null,"abstract":"<div><p>The void defects present in composite parts are due to air entrapped during the injection process. We propose to use electrical conductivity measurements of the liquid to detect these defects. The saturation rate of the resin is measured as a function of time. Thanks to several sensors, placed along the mould, we are able to plot the resin front profile evolution versus the position. This method is a step forward in our knowledge of the parameter range for which no void is observed at the end of the injection.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 529-534"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01363-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72388762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
A similarity between the classical and modified secant extensions of the self-consistent model 自洽模型的经典割延与修正割延之间的相似性
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01362-9
Pierre Gilormini , Renald Brenner , Olivier Castelnau
{"title":"A similarity between the classical and modified secant extensions of the self-consistent model","authors":"Pierre Gilormini ,&nbsp;Renald Brenner ,&nbsp;Olivier Castelnau","doi":"10.1016/S1620-7742(01)01362-9","DOIUrl":"10.1016/S1620-7742(01)01362-9","url":null,"abstract":"<div><p>The first and second moments of the strain (or stress) fields predicted by the classical and modified secant extensions of the self-consistent model in isotropic mixtures of isotropic incompressible power-law phases are shown to be identical if the same macroscopic strain (or stress) is applied. This proves directly that the modified extension does predict a softer overall behavior for such composites.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 523-527"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01362-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89002522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Étude thermodynamique de l'évolution sous chargement dynamique de structures délaminées 对分层结构在动力载荷作用下演化的热力学研究
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01364-2
Rachel Marie Pradeilles-Duval
{"title":"Étude thermodynamique de l'évolution sous chargement dynamique de structures délaminées","authors":"Rachel Marie Pradeilles-Duval","doi":"10.1016/S1620-7742(01)01364-2","DOIUrl":"10.1016/S1620-7742(01)01364-2","url":null,"abstract":"<div><p>In order to study the evolution of damage in a delaminated structure, the assemblage of plates is considered under dynamic loading. Using a general result of the thermodynamic coupling approach, with the Hamiltonian formulation in the general case, the energy release rate associated with the propagation of the delamination is presented as a heat source.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 535-540"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01364-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72436596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Optimisation de renforts composites internes de structures tridimensionnelles 三维结构内部复合增强的优化
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01368-X
Georges Duvaut , Boris Desmorat , Eric Deletombe
{"title":"Optimisation de renforts composites internes de structures tridimensionnelles","authors":"Georges Duvaut ,&nbsp;Boris Desmorat ,&nbsp;Eric Deletombe","doi":"10.1016/S1620-7742(01)01368-X","DOIUrl":"10.1016/S1620-7742(01)01368-X","url":null,"abstract":"<div><p>The reinforcement of a 3D structure with composite panels is considered. The behaviour of those panels are to be optimized considering the external loading of the 3D structure. The study is within the framework of anisotropic linear elasticity. The 3D model takes into account the rigidity induced by Kirchhoff–Love plate reinforcement. An optimization of the behavior characteristics of the composite reinforcement (density and orientation of fibers at each point) is presented.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 549-555"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01368-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83079050","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Modélisation du rayonnement acoustique de jets coaxiaux supersoniques 超音速同轴射流声辐射建模
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01356-3
Nicolas Héron , Christophe Bailly , Sébastien Candel
{"title":"Modélisation du rayonnement acoustique de jets coaxiaux supersoniques","authors":"Nicolas Héron ,&nbsp;Christophe Bailly ,&nbsp;Sébastien Candel","doi":"10.1016/S1620-7742(01)01356-3","DOIUrl":"10.1016/S1620-7742(01)01356-3","url":null,"abstract":"<div><p>We examine the elimination of the Mach waves radiated by a supersonic jet by the addition of a secondary coaxial jet. The noise prediction is based on a numerical solution of the RANS (Reynolds Averaged Navier–Stokes) equations closed by a turbulence model, and a statistical description of acoustic sources. This method allows us to numerically reproduce results obtained in recent experiments where the aim was to find the mean flow configuration that minimizes acoustic radiation.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 497-502"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01356-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82497023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Contrôle passif d'écoulements incompressibles autour d'obstacles à l'aide de milieux poreux 利用多孔介质被动控制障碍物周围不可压缩的流动
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01360-5
Charles-Henri Bruneau, Iraj Mortazavi
{"title":"Contrôle passif d'écoulements incompressibles autour d'obstacles à l'aide de milieux poreux","authors":"Charles-Henri Bruneau,&nbsp;Iraj Mortazavi","doi":"10.1016/S1620-7742(01)01360-5","DOIUrl":"10.1016/S1620-7742(01)01360-5","url":null,"abstract":"<div><p>Passive control of the flow behind a bluff-body is obtained by integrating porous area on the body. The penalisation method is used to modelize the flow in three different media. In fact each medium can be considered as a porous medium. The fluid is identified as a porous medium of infinite permeability and the solid is identified as a porous medium of zero permeability. This way, it is easy to compute the flow in each medium using the same parameter. Some benefical effects are due to the porous interface: the flow is smoothed, and the enstrophy and drag are significantly reduced.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 517-521"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01360-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77994554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Theory of cellular detonations in gases. Part 2. Mach-stem formation at strong overdrive 气体中细胞爆炸理论。第2部分。机械杆在强力超速下形成
Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics Pub Date : 2001-07-01 DOI: 10.1016/S1620-7742(01)01352-6
Paul Clavin, Bruno Denet
{"title":"Theory of cellular detonations in gases. Part 2. Mach-stem formation at strong overdrive","authors":"Paul Clavin,&nbsp;Bruno Denet","doi":"10.1016/S1620-7742(01)01352-6","DOIUrl":"10.1016/S1620-7742(01)01352-6","url":null,"abstract":"<div><p>A weakly nonlinear analysis of cellular detonations at onset of the instability against transverse disturbances is carried out in the Newtonian limit at strong overdrive. A nonlinear integral-differential equation describing the formation of cusps representative of Mach-stems on the detonation front is obtained as an asymptotic solution of the reactive Euler equations. A numerical study of this equation exhibits patterns that are similar to the cellular structures observed experimentally in gaseous detonation waves.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 489-496"},"PeriodicalIF":0.0,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01352-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83653214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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