Academic literature on the topic 'Rayleigh-Bénard'

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Journal articles on the topic "Rayleigh-Bénard"

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ORESTA, Paolo, Francesco FORNARELLI, and Andrea PROSPERETTI. "Multiphase Rayleigh-Bénard convection." Mechanical Engineering Reviews 1, no. 1 (2014): FE0003. http://dx.doi.org/10.1299/mer.2014fe0003.

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Guo, Yan, and Yongqian Han. "Critical Rayleigh number in Rayleigh-Bénard convection." Quarterly of Applied Mathematics 68, no. 1 (2009): 149–60. http://dx.doi.org/10.1090/s0033-569x-09-01179-4.

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Idris, R., A. Alias, and A. Miqdady. "Behaviour of the Onset of Rayleigh-Bénard Convection in Double-Diffusive Micropolar Fluids Under the Influence of Cubic Temperature and Concentration Gradient." Malaysian Journal of Mathematical Sciences 17, no. 3 (2023): 441–58. http://dx.doi.org/10.47836/mjms.17.3.12.

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Convection heat transfer especially Rayleigh-Bénard convection plays a significant role either in nature or industry applications. Particularly, in industry, the instability of the Rayleigh-Bénard convection process is important to see whether the quality of final goods is excellent or not. Therefore, in this study linear stability theory has been performed to investigate the influence of cubic temperature gradient and cubic concentration gradient on the onset of convection in a double-diffusive micropolar fluid. By adopting the single-term Galerkin procedure, parameters N1,N3,N5 , and Rs have
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Naik, S. Harisingh. "Rayleigh-Bénard Convection With Temperature Dependent Variable Viscosity." Paripex - Indian Journal Of Research 3, no. 7 (2012): 247–55. http://dx.doi.org/10.15373/22501991/july2014/87.

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TONE, FLORENTINA, and XIAOMING WANG. "APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM." Analysis and Applications 09, no. 04 (2011): 421–46. http://dx.doi.org/10.1142/s0219530511001935.

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In this article, we consider a temporal linear semi-implicit approximation of the two-dimensional Rayleigh–Bénard convection problem. We prove that the stationary statistical properties as well as the global attractors of this linear semi-implicit scheme converge to those of the 2D Rayleigh–Bénard problem as the time step approaches zero.
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Martin, Holger. "Rayleigh-Bénard-Konvektion in Rohrbündeln." Archive of Applied Mechanics 62, no. 8 (1992): 565–70. http://dx.doi.org/10.1007/bf00787916.

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Girasole, T., R. Darrigo, G. Gouesbet, and C. Roze. "Two‐phase Rayleigh–Bénard instabilities." Physics of Fluids 7, no. 11 (1995): 2659–69. http://dx.doi.org/10.1063/1.868713.

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Sun, Z. F., and K. T. Yu. "Rayleigh–Bénard–Marangoni Cellular Convection." Chemical Engineering Research and Design 84, no. 3 (2006): 185–91. http://dx.doi.org/10.1205/cherd.05057.

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Skrbek, L., and P. Urban. "Has the ultimate state of turbulent thermal convection been observed?" Journal of Fluid Mechanics 785 (November 17, 2015): 270–82. http://dx.doi.org/10.1017/jfm.2015.638.

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An important question in turbulent Rayleigh–Bénard convection is the scaling of the Nusselt number with the Rayleigh number in the so-called ultimate state, corresponding to asymptotically high Rayleigh numbers. A related but separate question is whether the measurements support the so-called Kraichnan law, according to which the Nusselt number varies as the square root of the Rayleigh number (modulo a logarithmic factor). Although there have been claims that the Kraichnan regime has been observed in laboratory experiments with low aspect ratios, the totality of existing experimental results p
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Ostilla-Mónico, R. "Mixed thermal conditions in convection: how do continents affect the mantle’s circulation?" Journal of Fluid Mechanics 822 (June 1, 2017): 1–4. http://dx.doi.org/10.1017/jfm.2017.247.

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Natural convection is omnipresent on Earth. A basic and well-studied model for it is Rayleigh–Bénard convection, the fluid flow in a layer heated from below and cooled from above. Most explorations of Rayleigh–Bénard convection focus on spatially uniform, perfectly conducting thermal boundary conditions, but many important geophysical phenomena are characterized by boundary conditions which are a mixture of conducting and adiabatic materials. For example, the differences in thermal conductivity between continental and oceanic lithospheres are believed to play an important role in plate tectoni
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Dissertations / Theses on the topic "Rayleigh-Bénard"

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Tordelöv, Robert, Izabelle Back, and Tommy Nilsson. "Rayleigh-Bénard konvektion." Thesis, KTH, Mekanik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-102770.

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Abstract Consider a  uid being heated from below. The heating leads to an upward convective force that is counteracted by the viscous forces of the  uid. If the convective force is large enough in comparison to the viscous forces the  uid will be put in an unstable state. This means that a small disturbance will give rise to a  ow driven by a temperature gradient. This  ow is characterised by a pattern of convection cells. The phenomenon is called Rayleigh-Bénard convection. An example of this can be seen when heating a pot of oil from below. A part of the contribution to the formation of thes
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Berg, Niclas, Gustav Johansson, and Maja Sandberg. "Rayleigh-Bénard convection." Thesis, KTH, Mekanik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-105486.

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This report considers Rayleigh-Bénard convection, i.e. the  ow between two large parallel plates where the lower one is heated. The change in density due to temperature variations gives rise to a  ow generated by buoyancy. This motion is opposed by the viscous forces in the  uid. The balance between these forces determines whether the  ow is stable or not and the goal of this report is to nd a condition giving this limit as well as analyzing other aspects of the  ow. The starting point of the analysis is the incompressible Navier- Stokes equations and the thermal energy equation upon which the
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Hepworth, Benjamin James. "Nonlinear two-dimensional Rayleigh-Bénard convection." Thesis, University of Leeds, 2014. http://etheses.whiterose.ac.uk/6822/.

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Two dimensional Rayleigh-Bénard convection in a Boussinesq fluid is the simplest possible system that exhibits convective instability. Moreover it contains the same basic physics as occurring in many geophysical and astrophysical systems, such as the interiors of the Earth and the Sun. We study this ubiquitous system with and without the effect of rotation, for stress free boundary conditions. We review the linear stability theory of two dimensional Rayleigh-Bénard convection, deriving conditions on the dimensionless parameters of the system, under which we expect convection to occur. Building
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Perkins, Adam Christopher. "Mechanisms of instability in Rayleigh-Bénard convection." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42768.

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In many systems, instabilities can lead to time-dependent behavior, and instabilities can act as mechanisms for sustained chaos; an understanding of the dynamical modes governing instability is thus essential for prediction and/or control in such systems. In this thesis work, we have developed an approach toward characterizing instabilities quantitatively, from experiments on the prototypical Rayleigh-Bénard convection system. We developed an experimental technique for preparing a given convection pattern using rapid optical actuation of pressurized SF6, a greenhouse gas. Real-time analysis of
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Zienicke, Egbert, Norbert Seehafer, and Fred Feudel. "Bifurcations in two-dimensional Rayleigh-Bénard convection." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2007/1453/.

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Two-dimensional bouyancy-driven convection in a horizontal fluid layer with stress-free boundary conditions at top and bottom and periodic boundary conditions in the horizontal direction is investigated by means of numerical simulation and bifurcation-analysis techniques. As the bouyancy forces increase, the primary stationary and symmetric convection rolls undergo successive Hopf bifurcations, bifurcations to traveling waves, and phase lockings. We pay attention to symmetry breaking and its connection with the generation of large-scale horizontal flows. Calculations of Lyapunov exponents indi
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Demircan, Ayhan, Stefan Scheel, and Norbert Seehafer. "Heteroclinic behavior in rotating Rayleigh-Bénard convection." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2007/1491/.

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We investigate numerically the appearance of heteroclinic behavior in a three-dimensional, buoyancy-driven fluid layer with stress-free top and bottom boundaries, a square horizontal periodicity with a small aspect ratio, and rotation at low to moderate rates about a vertical axis. The Prandtl number is 6.8. If the rotation is not too slow, the skewed-varicose instability leads from stationary rolls to a stationary mixed-mode solution, which in turn loses stability to a heteroclinic cycle formed by unstable roll states and connections between them. The unstable eigenvectors of these roll state
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Demircan, Ayhan, and Norbert Seehafer. "Nonlinear square patterns in Rayleigh-Bénard convection." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2007/1498/.

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We numerically investigate nonlinear asymmetric square patterns in a horizontal convection layer with up-down reflection symmetry. As a novel feature we find the patterns to appear via the skewed varicose instability of rolls. The time-independent nonlinear state is generated by two unstable checkerboard (symmetric square) patterns and their nonlinear interaction. As the bouyancy forces increase, the interacting modes give rise to bifurcations leading to a periodic alternation between a nonequilateral hexagonal pattern and the square pattern or to different kinds of standing oscillations.
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Chimanski, Emanuel Vicente. "Route to hyperchaos in rayleigh-bénard convection." Instituto Tecnológico de Aeronáutica, 2015. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=3192.

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The route to hyperchaos is studied by direct numerical simulation of Rayleigh-Bénard convection in the Boussinesq approximation. The fluid is confined between two planes in a square periodicity cell and convective attractors are obtained for the Rayleigh number varying from 1760 to 2500, for which the hyperchaotic regime emerges; all other parameters of the system are fixed. The temperature of the upper and bottom plane are held constant and the horizontal boundaries are stress-free and isothermal. In the range of parameter considered, 9 convective attractors were found. The three largest Lyap
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Tanabe, Aya. "The ultimate state of Rayleigh-Bénard convection?" Thesis, Imperial College London, 2007. http://hdl.handle.net/10044/1/1270.

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Some scientists have performed direct numerical simulations (DNS) of homogeneous Rayleigh-Bénard (RB) convection to seek an asymptotic high-Rayleigh number heat transport scaling law Nu ~ Raγ. By applying periodic boundary conditions, the goal has been to focus on the ‘ultimate’ regime where boundary layers are negligible and convective heat transport is limited only by the turbulence in the bulk. The value γ = 1/ 2 obtained in the DNS is consistent with the analytical conjecture established in the past several decades. However, it should be pointed out that the tri-periodic model possesses ex
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Da, Rocha Miranda Pontes José. "Pattern formation in spatially ramped Rayleigh-Bénard systems." Doctoral thesis, Universite Libre de Bruxelles, 1994. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212711.

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Books on the topic "Rayleigh-Bénard"

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Rayleigh-Bénard convection: Structures and dynamics. World Scientific, 1998.

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Goluskin, David. Internally Heated Convection and Rayleigh-Bénard Convection. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23941-5.

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Ching, Emily S. C. Statistics and Scaling in Turbulent Rayleigh-Bénard Convection. Springer Singapore, 2014. http://dx.doi.org/10.1007/978-981-4560-23-8.

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Koschmieder, E. L. Bénard cells and Taylor vortices. Cambridge University Press, 1993.

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A, Tyvand Peder, ed. Time-dependent nonlinear convection. Computational Mechanics Publications, 1998.

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Xu, Kun. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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Pattern formation in viscous flows: The Taylor-Couette problem and Rayleigh-Bénard convection. Birkhäuser, 1999.

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Pattern formation in viscous flows: The Taylor-Couette problem and Rayleigh-Benard convection. Birkhäuser, 1999.

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Goluskin, David. Internally Heated Convection and Rayleigh-Bénard Convection. Springer, 2015.

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Goluskin, David. Internally Heated Convection and Rayleigh-Bénard Convection. Springer London, Limited, 2015.

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Book chapters on the topic "Rayleigh-Bénard"

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Barletta, Antonio. "Rayleigh–Bénard Convection." In Routes to Absolute Instability in Porous Media. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06194-4_7.

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Zappoli, Bernard, Daniel Beysens, and Yves Garrabos. "Rayleigh–Bénard and Rayleigh–Taylor Instabilities." In Heat Transfers and Related Effects in Supercritical Fluids. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9187-8_13.

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Tilgner, A., A. Belmonte, and A. Libchaber. "Rayleigh-Bénard Turbulent Convection." In Turbulence. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4615-2586-8_14.

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Calzavarini, E., D. Lohse, and F. Toschi. "Homogeneous Rayleigh-Bénard Convection." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-32603-8_36.

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Ahlers, Guenter. "Experiments with Rayleigh-Bénard Convection." In Dynamics of Spatio-Temporal Cellular Structures. Springer New York, 2006. http://dx.doi.org/10.1007/978-0-387-25111-0_4.

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Ching, Emily S. C. "The Rayleigh-Bénard Convection System." In Statistics and Scaling in Turbulent Rayleigh-Bénard Convection. Springer Singapore, 2013. http://dx.doi.org/10.1007/978-981-4560-23-8_1.

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Wollkind, David J., and Bonni J. Dichone. "Rayleigh–Bénard Natural Convection Problem." In Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-73518-4_15.

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Bergé, P., M. Dubois, P. Manneville, and Y. Pomeau. "Intermittency in Rayleigh-Bénard convection." In Universality in Chaos. CRC Press, 2017. http://dx.doi.org/10.1201/9780203734636-11.

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Xi, H. W., J. D. Gunton, and J. Viñals. "Complexity in Rayleigh-Bénard Convection." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-79293-9_2.

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du Puits, Ronald, Christian Resagk, and André Thess. "Asymmetries in Turbulent Rayleigh-Bénard Convection." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02225-8_43.

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Conference papers on the topic "Rayleigh-Bénard"

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SÁNCHEZ-ÁLVAREZ, J. J., E. SERRE, E. CRESPO DEL ARCO, and F. H. BUSSE. "ROTATING RAYLEIGH-BÉNARD CONVECTION IN CYLINDERS." In Proceedings of the CCT '07. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812818805_0014.

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OGAWA, TOSHIYUKI, and TAKASHI OKUDA. "RAYLEIGH-BÉNARD CONVECTION IN A RECTANGULAR DOMAIN." In Proceedings of the 2004 Swiss-Japanese Seminar. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774170_0011.

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Carey, Graham F., Christophe Harle, Robert Mclay, and Spencer Swift. "MPP solution of Rayleigh - Bénard - Marangoni flows." In the 1997 ACM/IEEE conference. ACM Press, 1997. http://dx.doi.org/10.1145/509593.509606.

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SALÁN, JESÚS, and ITALO BOVE. "RAYLEIGH-BÉNARD CONVECTIVE INSTABILITIES IN NEMATIC LIQUID CRYSTALS." In Space-Time Chaos: Characterization, Control and Synchronization. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811660_0012.

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Cetindag, Semih, and Murat K. Aktas. "INTERACTION OF RAYLEIGH-BÉNARD CONVECTION AND OSCILLATORY FLOWS." In Proceedings of CONV-14: International Symposium on Convective Heat and Mass Transfer. June 8 - 13, 2014, Kusadasi, Turkey. Begellhouse, 2014. http://dx.doi.org/10.1615/ichmt.2014.intsympconvheatmasstransf.610.

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Zheng, Xin, M’hamed Boutaous, Shihe Xin, Dennis A. Siginer, Fouad Hagani, and Ronnie Knikker. "A New Approach to the Numerical Modeling of the Viscoelastic Rayleigh-Benard Convection." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11675.

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Abstract A new approach to the numerical simulation of incompressible viscoelastic Rayleigh-Bénard convection in a cavity is presented. Due to the fact that the governing equations are of elliptic-hyperbolic type, a quasi-linear treatment of the hyperbolic part of the equations is proposed to overcome the strong instabilities that can be induced and is handled explicitly in time. The elliptic part related to the mass conservation and the diffusion is treated implicitly in time. The time scheme used is semi-implicit and of second order. Second-order central differencing is used throughout excep
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BRINI, F., G. MULONE, and M. TROVATO. "ON THE MAGNETIC RAYLEIGH-BÉNARD PROBLEM FOR COMPRESSIBLE FLUIDS." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0011.

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O’Malley, Owen, Svetlana Avramov-Zamurovic, Nathaniel A. Ferlic, and K. Peter Judd. "Systematic Study of Optical Turbulence in Rayleigh-Bénard Underwater Convection." In Propagation Through and Characterization of Atmospheric and Oceanic Phenomena. Optica Publishing Group, 2023. http://dx.doi.org/10.1364/pcaop.2023.pw3f.4.

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Synchronized optical wavefront and intensity measurements are used to characterize the optical turbulence generated by Rayleigh-Bénard convection. We find refractive index structure constant and the shape of the phase structure function at varying temperatures.
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Puttock-Brown, M. R., and M. G. Rose. "Formation and Evolution of Rayleigh-Bénard Streaks in Rotating Cavities." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75497.

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This paper presents numerical investigation into the phenomena of so-called Rayleigh-Bénard streaks inside rotating-cavities. Experimental data from the University of Sussex Multiple Cavity Rig (MCR) has been used as boundary conditions for Unsteady Reynolds-Averaged Navier-Stokes (URANS) calculation using the k-ω SST turbulence model on a three cavity model of the MCR. A four-point validation is presented using comparison to experimental and historical data sets and shows encouraging agreement. The Rayleigh-Bénard streaks develop along the periphery of the rotating cavity (shroud) and are onl
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Holling, M., and H. Herwig. "A NEW NUSSELT/RAYLEIGH NUMBER CORRELATION AND WALL FUNCTIONS FOR TURBULENT RAYLEIGH-BÉNARD CONVECTION." In Annals of the Assembly for International Heat Transfer Conference 13. Begell House Inc., 2006. http://dx.doi.org/10.1615/ihtc13.p6.10.

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Reports on the topic "Rayleigh-Bénard"

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Kuehn, Kerry, K. Apparatus for real-time acoustic imaging of Rayleigh-Bénard convection. Office of Scientific and Technical Information (OSTI), 2008. http://dx.doi.org/10.2172/939998.

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