Literatura académica sobre el tema "Capillarity equation"
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Artículos de revistas sobre el tema "Capillarity equation"
Figliuzzi, B. y C. R. Buie. "Rise in optimized capillary channels". Journal of Fluid Mechanics 731 (14 de agosto de 2013): 142–61. http://dx.doi.org/10.1017/jfm.2013.373.
Texto completoBhatnagar, Rajat y Robert Finn. "On the Capillarity Equation in Two Dimensions". Journal of Mathematical Fluid Mechanics 18, n.º 4 (4 de mayo de 2016): 731–38. http://dx.doi.org/10.1007/s00021-016-0257-6.
Texto completoLiang, Fei-Tsen. "Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions". International Journal of Mathematics and Mathematical Sciences 2004, n.º 18 (2004): 913–48. http://dx.doi.org/10.1155/s0161171204307039.
Texto completoTritscher, Peter. "An integrable fourth-order nonlinear evolution equation applied to surface redistribution due to capillarity". Journal of the Australian Mathematical Society. Series B. Applied Mathematics 38, n.º 4 (abril de 1997): 518–41. http://dx.doi.org/10.1017/s0334270000000849.
Texto completoRoubíček, Tomáš. "Cahn-Hilliard equation with capillarity in actual deforming configurations". Discrete & Continuous Dynamical Systems - S 14, n.º 1 (2021): 41–55. http://dx.doi.org/10.3934/dcdss.2020303.
Texto completoRodr guez-Valverde, M. A., M. A. Cabrerizo-V lchez y R. Hidalgo- lvarez. "The Young Laplace equation links capillarity with geometrical optics". European Journal of Physics 24, n.º 2 (10 de febrero de 2003): 159–68. http://dx.doi.org/10.1088/0143-0807/24/2/356.
Texto completoLu, Ning. "Generalized Soil Water Retention Equation for Adsorption and Capillarity". Journal of Geotechnical and Geoenvironmental Engineering 142, n.º 10 (octubre de 2016): 04016051. http://dx.doi.org/10.1061/(asce)gt.1943-5606.0001524.
Texto completoNing, Tao, Meng Xi, Bingtao Hu, Le Wang, Chuanqing Huang y Junwei Su. "Effect of Viscosity Action and Capillarity on Pore-Scale Oil–Water Flowing Behaviors in a Low-Permeability Sandstone Waterflood". Energies 14, n.º 24 (7 de diciembre de 2021): 8200. http://dx.doi.org/10.3390/en14248200.
Texto completoHua, Wei, Wei Wang, Weidong Zhou, Ruige Wu y Zhenfeng Wang. "Experiment—Simulation Comparison in Liquid Filling Process Driven by Capillarity". Micromachines 13, n.º 7 (12 de julio de 2022): 1098. http://dx.doi.org/10.3390/mi13071098.
Texto completoLi, Shi-Ming y Danesh K. Tafti. "A Mean-Field Pressure Formulation for Liquid-Vapor Flows". Journal of Fluids Engineering 129, n.º 7 (28 de diciembre de 2006): 894–901. http://dx.doi.org/10.1115/1.2742730.
Texto completoTesis sobre el tema "Capillarity equation"
Rivetti, Sabrina. "Bounded variation solutions of capillarity-type equations". Doctoral thesis, Università degli studi di Trieste, 2014. http://hdl.handle.net/10077/10161.
Texto completoWe investigate by different techniques, the solvability of a class of capillarity-type problems, in a bounded N-dimensional domain. Since our approach is variational, the natural context where this problem has to be settled is the space of bounded variation functions. Solutions of our equation are defined as subcritical points of the associated action functional.
We first introduce a lower and upper solution method in the space of bounded variation functions. We prove the existence of solutions in the case where the lower solution is smaller than the upper solution. A solution, bracketed by the given lower and upper solutions, is obtained as a local minimizer of the associated functional without any assumption on the boundedness of the right-hand side of the equation. In this context we also prove order stability results for the minimum and the maximum solution lying between the given lower and upper solutions. Next we develop an asymmetric version of the Poincaré inequality in the space of bounded variation functions. Several properties of the curve C are then derived and basically relying on these results, we discuss the solvability of the capillarity-type problem, assuming a suitable control on the interaction of the supremum and the infimum of the function at the right-hand side with the curve C. Non-existence and multiplicity results are investigated as well. The one-dimensional case, which sometimes presents a different behaviour, is also discussed. In particular, we provide an existence result which recovers the case of non-ordered lower and upper solutions.
XXV Ciclo
1985
Alvarellos, Jose. "Fundamental Studies of Capillary Forces in Porous Media". Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5314.
Texto completoKamat, Madhusudan Sunil. "Soil moisture change due to variable water table". Thesis, Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/54922.
Texto completoDE, LUCA ALESSANDRA. "On some nonlocal issues: unique continuation from the boundary and capillarity problems for anisotropic kernels". Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/378950.
Texto completoThe aim of the present thesis is to discuss the results obtained during my PhD studies, mainly devoted to nonlocal issues. We first deal with strong unique continuation principles and local asymptotic expansions at certain boundary points for solutions of two different classes of elliptic equations. We start the investigation by a class of fractional elliptic equations in a bounded domain under some outer homogeneous Dirichlet boundary condition. To do this, we exploit the Caffarelli-Silvestre extension procedure, which allows us to get an equivalent formulation of the nonlocal problem as a local problem in one dimension more, consisting in a mixed Dirichlet-Neumann boundary value problem. Then, we use a classical idea by Garofalo and Lin to obtain a doubling-type condition via a monotonicity formula for a suitable Almgren-type frequency function. To overcome the difficulties related to the lack of regularity at the Dirichlet-Neumann junction, we introduce a new technique based on an approximation argument, which leads us to derive a so-called Pohozaev-type identity needed to estimate the derivative of the Almgren function. Thus we gain a strong unique continuation result in the local context, which is in turn combined with blow-up arguments to deduce local asymptotics and, consequently, a strong unique continuation result in the nonlocal setting as well. We also provide a strong unique continuation result from the edge of a crack for the solutions to a specific class of second order elliptic equations in an open bounded domain with a fracture, on which a homogeneous Dirichlet boundary condition is prescribed, in the presence of potentials satisfying either a negligibility condition with respect to the inverse-square weight or some suitable integrability properties. This local problem is related to a particular case of the setting described above, by virtue of a strong connection between this type of problems and the mixed Dirichlet-Neumann boundary value problems. We also treat a capillarity theory of nonlocal type. In our setting, we consider more general interaction kernels that are possibly anisotropic and not necessarily invariant under scaling. In particular, the lack of scale invariance is modeled via two different fractional exponents in order to take into account the possibility that the container and the environment present different features with respect to particle interactions. We determine a nonlocal Young's law for the contact angle between the droplet and the surface of the container and discuss the unique solvability of the corresponding equation in terms of the interaction kernels and of the relative adhesion coefficient.
Deng, Shengfu. "A Spatial Dynamic Approach to Three-Dimensional Gravity-Capillary Water Waves". Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/28254.
Texto completoPh. D.
MacLaurin, James Normand. "The buckling of capillaries in tumours". Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:ba252220-3c06-4d49-8696-655f6fefcd31.
Texto completoBurtea, Cosmin. "Méthodes d'analyse de Fourier en hydrodynamique : des mascarets aux fluides avec capillarité". Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1047/document.
Texto completoThe first part of the present thesis deals with the so -called abcd systems which were derived by J.L. Bona, M. Chen and J.-C. Saut back in 2002. These systems are approximation models for the waterwaves problem in the Boussinesq regime, that is, waves of small amplitude and long wavelength. In the first two chapters we address the long time existence problem which consists in constructing solutions for the Cauchy problem associated to the abcd systems and prove that the maximal time of existence is bounded from below by some physically relevant quantity. First, we consider the case of initial data belonging to some Sobolev spaces imbedded in the space of continuous functions which vanish at infinity. Physically, this corresponds to spatially localized waves. The key ingredient is to construct a nonlinear energy functional which controls appropriate Sobolev norms on the desired time scales. This is accomplished by working with spectrally localized equations. The two important features of our method is that we require lower regularity levels in order to develop a long time existence theory and we may treat in an uni ed manner most of the cases corresponding to the di erent values of the parameters. In the second chapter, we prove the long time existence results for the case of data thatdoes not necessarily vanish at in nity. This is especially useful if one has in mind bore propagation. One of the key ideas of the proof is to consider a well-adapted high-low frequency decomposition of the initial data. In the third chapter, we propose infinite volume schemes in order to construct numerical solutions. We use these schemes in order to study traveling waves interaction.The second part of this manuscript, is devoted to the study of optimal regularity issues for the incompressible inhomogeneous Navier-Stokes system and the Navier-Stokes-Korteweg system used in order to take in account capillarity effects. More precisely, we prove that these systems are well-posed in their truly critical spaces i.e. the spaces that have the same scale invariance as the system itself. Inorder to achieve this we derive new estimates for a Stoke-like problem with time independent variable coefficients
Colinet, Pierre. "Amplitude equations and nonlinear dynamics of surface-tension and buoyancy-driven convective instabilities". Doctoral thesis, Universite Libre de Bruxelles, 1997. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212204.
Texto completoThis work is a theoretical contribution to the study of thermo-hydrodynamic instabilities in fluids submitted to surface-tension (Marangoni) and buoyancy (Rayleigh) effects in layered (Benard) configurations. The driving constraint consists in a thermal (or a concentrational) gradient orthogonal to the plane of the layer(s).
Linear, weakly nonlinear as well as strongly nonlinear analyses are carried out, with emphasis on high Prandtl (or Schmidt) number fluids, although some results are also given for low-Prandtl number liquid metals. Attention is mostly devoted to the mechanisms responsible for the onset of complex spatio-temporal behaviours in these systems, as well as to the theoretical explanation of some existing experimental results.
As far as linear stability analyses (of the diffusive reference state) are concerned, a number of different effects are studied, such as Benard convection in two layers coupled at an interface (for which a general classification of instability modes is proposed), surface deformation effects and phase-change effects (non-equilibrium evaporation). Moreover, a number of different monotonous and oscillatory instability modes (leading respectively to patterns and waves in the nonlinear regime) are identified. In the case of oscillatory modes in a liquid layer with deformable interface heated from above, our analysis generalises and clarifies earlier works on the subject. A new Rayleigh-Marangoni oscillatory mode is also described for a liquid layer with an undeformable interface heated from above (coupling between internal and surface waves).
Weakly nonlinear analyses are then presented, first for monotonous modes in a 3D system. Emphasis is placed on the derivation of amplitude (Ginzburg-Landau) equations, with universal structure determined by the general symmetry properties of the physical system considered. These equations are thus valid outside the context of hydrodynamic instabilities, although they generally depend on a certain number of numerical coefficients which are calculated for the specific convective systems studied. The nonlinear competitions of patterns such as convective rolls, hexagons and squares is studied, showing the preference for hexagons with upflow at the centre in the surface-tension-driven case (and moderate Prandtl number), and of rolls in the buoyancy-induced case.
A transition to square patterns recently observed in experiments is also explained by amplitude equation analysis. The role of several fluid properties and of heat transfer conditions at the free interface is examined, for one-layer and two-layer systems. We also analyse modulation effects (spatial variation of the envelope of the patterns) in hexagonal patterns, leading to the description of secondary instabilities of supercritical hexagons (Busse balloon) in terms of phase diffusion equations, and of pentagon-heptagon defects in the hexagonal structures. In the frame of a general non-variational system of amplitude equations, we show that the pentagon-heptagon defects are generally not motionless, and may even lead to complex spatio-temporal dynamics (via a process of multiplication of defects in hexagonal structures).
The onset of waves is also studied in weakly nonlinear 2D situations. The competition between travelling and standing waves is first analysed in a two-layer Rayleigh-Benard system (competition between thermal and mechanical coupling of the layers), in the vicinity of special values of the parameters for which a multiple (Takens-Bogdanov) bifurcation occurs. The behaviours in the vicinity of this point are numerically explored. Then, the interaction between waves and steady patterns with different wavenumbers is analysed. Spatially quasiperiodic (mixed) states are found to be stable in some range when the interaction between waves and patterns is non-resonant, while several transitions to chaotic dynamics (among which an infinite sequence of homoclinic bifurcations) occur when it is resonant. Some of these results have quite general validity, because they are shown to be entirely determined by quadratic interactions in amplitude equations.
Finally, models of strongly nonlinear surface-tension-driven convection are derived and analysed, which are thought to be representative of the transitions to thermal turbulence occurring at very high driving gradient. The role of the fastest growing modes (intrinsic length scale) is discussed, as well as scalings of steady regimes and their secondary instabilities (due to instability of the thermal boundary layer), leading to chaotic spatio-temporal dynamics whose preliminary analysis (energy spectrum) reveals features characteristic of hydrodynamic turbulence. Some of the (2D and 3D) results presented are in qualitative agreement with experiments (interfacial turbulence).
Doctorat en sciences appliquées
info:eu-repo/semantics/nonPublished
Cancès, Clément. "Écoulements diphasiques en milieux poreux hétérogènes : modélisation et analyse des effets liés aux discontinuités de la pression capillaire". Phd thesis, Université de Provence - Aix-Marseille I, 2008. http://tel.archives-ouvertes.fr/tel-00335506.
Texto completoDans un premier temps, on suppose que l'on peut connecter les pressions au niveau des interfaces. Cela nécessite des hypothèses sur les profils de pression capillaire, afin que les raccords soient possibles. On démontre l'existence d'une solution faible du problème parabolique dégénéré obtenu par convergence d'une famille de solutions approchées obtenues à l'aide d'un schéma Volumes Finis. L'unicité est garantie, sous hypothèse sur les dégénérescence, par une méthode de dédoublement de variable aboutissant à un principe de contraction $L^1$.
La modélisation ne garantit pas forcément que le raccord des pressions capillaires aux interfaces soit possible. Dans le chapitre 3, on donne une condition de raccord graphique des pressions capillaires aux interfaces qui permet de traiter des cas beaucoup plus généraux. On montre que de le problème avec raccords graphiques admet une solution. Un résultat d'unicité et de contraction $L^1$ est donné dans le cas unidimensionnel.
Dans le chapitre 4, on montre la convergence d'une approximation Volumes Finis vers l'unique solution du problème unidimensionnel. Ce résultat utilise une borne uniforme sur les flux discrets, analogie discrète de la preuve dans le cas continue faite au chapitre précédent.
On étudie dans les chapitres 5 et 6 la limite des solutions lorsque la dépendance de la pression capillaire par rapport à l'inconnue saturation devient très faible, et que la pression capillaire ne dépend plus que du sous milieux poreux homogène. Il apparaît alors des phénomènes différents selon l'orientation des forces de gravité et de capillarité. Soit la solution su problème est la solution entropique d'une équation hyperbolique à flux discontinus, soit une solution faible, entropique à l'intérieur des sous-domaines homogènes, et laissant apparaître un choc non classique à l'interface.
Annavarapu, Rama Kishore. "Elastocapillary Behavior and Wettability Control in Nanoporous Microstructures". University of Toledo / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1544705326035201.
Texto completoLibros sobre el tema "Capillarity equation"
Berti, Massimiliano y Jean-Marc Delort. Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99486-4.
Texto completoC, Hsieh K. y Langley Research Center, eds. Stability of capillary surfaces in rectangular containers: The right square cylinder. [Washington, DC]: National Aeronautics and Space Administration, Langley Research Center, 1998.
Buscar texto completoSoutheast Geometry Seminar (15th 2009 University of Alabama at Birmingham). Geometric analysis, mathematical relativity, and nonlinear partial differential equations: Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011. Editado por Ghomi Mohammad 1969-. Providence, Rhode Island: American Mathematical Society, 2013.
Buscar texto completoGagneux, Gerard y Olivier Millet. Discrete Mechanics of Capillary Bridges. Elsevier, 2018.
Buscar texto completoDelort, Jean-Marc y Massimiliano Berti. Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle. Springer, 2018.
Buscar texto completovan Hinsbergh, Victor W. M. Physiology of blood vessels. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198755777.003.0002.
Texto completoStability of capillary surfaces in rectangular containers: The right square cylinder. [Washington, DC]: National Aeronautics and Space Administration, Langley Research Center, 1998.
Buscar texto completoDussaule, Jean-Claude, Martin Flamant y Christos Chatziantoniou. Function of the normal glomerulus. Editado por Neil Turner. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780199592548.003.0044_update_001.
Texto completoCapítulos de libros sobre el tema "Capillarity equation"
Bidaut-Veron, Marie-Françoise. "New Results Concerning the Singular Solutions of the Capillarity Equation". En Variational Methods for Free Surface Interfaces, 191–96. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4656-5_22.
Texto completoFinn, Robert. "Capillary Forces on Partially Immersed Plates". En Differential and Difference Equations with Applications, 13–25. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7333-6_2.
Texto completoAwasthi, Mukesh Kumar, Rishi Asthana y Ziya Uddin. "Evaporative Capillary Instability of Swirling Fluid Layer with Mass Transfer". En Differential Equations in Engineering, 37–54. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003105145-2.
Texto completoFialka, M. y S. Vašut. "Special Case of Oscillatory Differential Equation for Capillary". En Progress and Trends in Rheology V, 469–70. Heidelberg: Steinkopff, 1998. http://dx.doi.org/10.1007/978-3-642-51062-5_227.
Texto completoCraig, Walter y Catherine Sulem. "Normal Form Transformations for Capillary-Gravity Water Waves". En Hamiltonian Partial Differential Equations and Applications, 73–110. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4939-2950-4_3.
Texto completovan Brummelen, E. H., M. Shokrpour-Roudbari y G. J. van Zwieten. "Elasto-Capillarity Simulations Based on the Navier–Stokes–Cahn–Hilliard Equations". En Advances in Computational Fluid-Structure Interaction and Flow Simulation, 451–62. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-40827-9_35.
Texto completoCuvelier, C., A. Segal y A. A. van Steenhoven. "Capillary Free Boundaries governed by the Navier-Stokes Equations". En Finite Element Methods and Navier-Stokes Equations, 418–31. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-010-9333-0_15.
Texto completoMagiera, Jim y Christian Rohde. "Analysis and Numerics of Sharp and Diffuse Interface Models for Droplet Dynamics". En Fluid Mechanics and Its Applications, 67–86. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-09008-0_4.
Texto completoLevine, Howard A. "Numerical Searches for Ground State Solutions of a Modified Capillary Equation and for Solutions of the Charge Balance Equation". En Mathematical Sciences Research Institute Publications, 55–83. New York, NY: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-9608-6_5.
Texto completoCuvelier, C. y R. M. S. M. Schulkes. "Numerical analysis of capillary free boundaries governed by the Navier-Stokes equations". En Numerical Methods for Free Boundary Problems, 123–27. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_9.
Texto completoActas de conferencias sobre el tema "Capillarity equation"
Wemhoff, Aaron P. "Dependence of the Equation of State in Surface Tension Prediction by the Theory of Capillarity". En ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10221.
Texto completoTong, Albert Y. y Zhaoyuan Wang. "A Numerical Method for Capillarity-Driven Free Surface Flows". En ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77274.
Texto completoRadhakrishnan, Anand N. P., Marc Pradas, Serafim Kalliadasis y Asterios Gavriilidis. "Nonlinear Dynamics of Gas-Liquid Separation in a Capillary Microseparator". En ASME 2018 16th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icnmm2018-7613.
Texto completoWang, Zhaoyuan y Albert Y. Tong. "A Sharp Surface Tension Modeling Method for Capillarity-Dominant Two-Phase Incompressible Flows". En ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42455.
Texto completoHaq, M. Ashraful y Shao Wang. "Lubricant Evaporation and Flow due to Laser Heating With a Skewed Temperature Distribution Induced by Disk Motion". En ASME 2017 Conference on Information Storage and Processing Systems collocated with the ASME 2017 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/isps2017-5477.
Texto completoYd, Sumith y Shalabh C. Maroo. "A New Algorithm for Contact Angle Estimation in Molecular Dynamics Simulations". En ASME 2015 13th International Conference on Nanochannels, Microchannels, and Minichannels collocated with the ASME 2015 International Technical Conference and Exhibition on Packaging and Integration of Electronic and Photonic Microsystems. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/icnmm2015-48569.
Texto completoLi, Zhuoran, Jiahui You y Guan Qin. "Pore-Scale Modellings on the Impacts of Hydrate Distribution Morphology on Gas and Water Transport in Hydrate-Bearing Sediments". En SPE Canadian Energy Technology Conference. SPE, 2022. http://dx.doi.org/10.2118/208983-ms.
Texto completoEddy, D. B. "Reservoir Capillary Equilibrium: A Derived Equation". En Annual Technical Meeting. Petroleum Society of Canada, 1995. http://dx.doi.org/10.2118/95-74.
Texto completoPopov, A. V., I. V. Suloev y Alexander V. Vinogradov. "Application of the parabolic wave equation to the simulation of refractive x-ray multilenses". En International Conference on X-ray and Neutron Capillary Optics, editado por Muradin A. Kumakhov. SPIE, 2002. http://dx.doi.org/10.1117/12.489768.
Texto completoGROVES, M. D. "THREE-DIMENSIONAL SOLITARY GRAVITY-CAPILLARY WATER WAVES". En Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0003.
Texto completoInformes sobre el tema "Capillarity equation"
Jang, Jaewon. Verification of capillary pressure functions and relative permeability equations for gas production. Office of Scientific and Technical Information (OSTI), julio de 2016. http://dx.doi.org/10.2172/1337017.
Texto completoSnyder, Victor A., Dani Or, Amos Hadas y S. Assouline. Characterization of Post-Tillage Soil Fragmentation and Rejoining Affecting Soil Pore Space Evolution and Transport Properties. United States Department of Agriculture, abril de 2002. http://dx.doi.org/10.32747/2002.7580670.bard.
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