Competition and bistability of ordered undulations and undulation chaos in inclined layer convection pdf. The structure of the boundary layers in turbulent rayleighbenard convection is studied by. We show, using direct numerical simulations with experimentally realizable boundary conditions, that wall modes in rayleighbenard convection in a rapidly rotating cylinder persist even very far from their linear onset. Flow mode transitions in turbulent thermal convection. The analysis is based on two recently developed nonlinear theories.
We show, using direct numerical simulations with experimentally realizable boundary conditions, that wall modes in rayleigh benard convection in a rapidly rotating cylinder persist even very far from their linear onset. Pdf boundary layer structure in turbulent rayleighbenard. Rayleigh benard convection of air the changes of temperature distribution in the fluid layer in air as medium for an aspect ratio of 8 for through flow velocities from 0 to 0. With an overdrive account, you can save your favorite libraries for ataglance information about availability. Pattern formation in turbulent rb convection is a complex topic and a full characterization of the coherent fluid structures thermalsplumes, ctcs involved in this dynamics is still missing. Structures and dynamics advanced series in nonlinear dynamics by alexander v getling author 5.
Paul manneville, in dissipative structures and weak turbulence, 1990. Identification, decomposition and analysis of dynamic. The analysis is based on two recently developed nonlinear. Radial boundary layer structure and nusselt number in rayleighbenard convection. Physics of fluids 26, 015112 2014 thermal boundary layer near roughnesses in turbulent rayleighbenard convection.
We study in this article the bifurcation and stability of the solutions of the boussinesq equations, and the onset of the rayleighbenard convection. Largescale vortices in rapidly rotating rayleighbenard convection volume 758 celine. Jets and largescale vortices in rotating rayleighb\enard convection. Abstact booklet international conference on rayleighbenard.
Stevens, 1alexander blass, xiaojue zhu, roberto verzicco,1,2 and detlef lohse1,3 1physics of fluids group, max planck center twente for complex fluid dynamics, j. Significance of prandtl number on the heat transport and. A nonlinear theory for this problem is established in this article using a new notion of. This barcode number lets you verify that youre getting exactly the right version or edition of a book. Rayleighb enard convection, thirty years of experimental. Save up to 80% by choosing the etextbook option for isbn. Rayleighbenard convection is a type of natural convection, occurring in a plane horizontal. Selecting this option will search all publications across the scitation platform selecting this option will search all publications for the publishersociety in context. Structures and dynamics by getling alexander v and publisher world scientific. One of b enards celebrated original photographs of the top view of convection patterns in a thin layer of spermaceti heated from below. Numerical simulations require large amounts of computational resources. That said, the multiple jets merge on much longer time scales.
Busse institute of physics, university of bayreuth d bayreuth, germany contributed by friedrich busse, december 20. Pdf direct numerical simulation of turbulent rayleighbenard convection of air pr0. Rayleighbenard convection was investigated using experiments and numerical simulations for rayleigh numbers in the range of 1. Our analysis of both boundary layers shows that the nearwall dynamics combines elements of forced blasiustype and natural convection. A series of visualization studies, fourier analysis and proper orthogonal decomposition are employed to qualitatively and quantitatively inspect the largescale structures length and time scales, spatial organization, and dynamic properties. It concentrates on convection in compressed gases and gas mixtures with prandtl numbers near one and smaller. Nonoberbeckboussinesq effects and the dynamics of the large scale convection roll are addressed as well. This option allows users to search by publication, volume and page selecting this option will search the current publication in context. The effect of rotation on the heat transfer rate, flow structures, their associated dynamics, and influence on the boundary layers are investigated. Introduction turbulent rayleighbenard convection can be initiated in a.
Heat transfer and scaling laws in rayleigh benard convection. Important dynamical differences between rotating and nonrotating convection are. Largescale vortices in rapidly rotating rayleighbenard convection. One of the most prominent dynamical features of turbulent, rapidly rotating convection is the formation of largescale coherent structures, driven by reynolds stresses. In dimensionless terms, the parameter governing the onset of the cellular flow by exceeding a critical value is. The corresponding problem in ferrofluids called rotating ferro convection and in dielectric fluids called rotating electro convection can be interesting for reasons more than one. Heat transfer and large scale dynamics in turbulent rayleighbenard convection guenter ahlers. Heat transfer and large scale dynamics in turbulent.
With additional system rotation along an axis parallel to gravity, individual plumes can merge together to form larger thermal structures. Finiteamplitude ferroconvection and electroconvection. If this is the first time you use this feature, you will be asked to authorise cambridge core to connect with your account. Pdf dynamics of plumes in turbulent rayleighbenard convection. It will now serve us to introduce the nonlinear dynamics of dissipative structures, at a phenomenological level. It is found that both a single circulating roll flow structure and one with two vertically stacked counterrotating rolls exist in the three aspect ratio cells. This invaluable book presents a concise but systematic account of the formation of spatial flow structures in a horizontal fluid layer heated from below. The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure and its transitions in the physical spaces. This model of thermal convection is a paradigm for nonlinear and chaotic dynamics, pattern formation and fully developed turbulence kadano. Pdf robust wall modes in rapidly rotating rayleighb. Rayleighbenard convection rbc is the buoyancydriven.
Rapidly rotating turbulent rayleighbenard convection journal of. Thermal boundary layer near roughnesses in turbulent. Article pdf available in journal of fluid mechanics 706 april 2012 with 281 reads. Rayleighbenard convection structures and dynamics advanced in nonlinear dynamics by alexander v getling. Here we investigate the morphological properties of plumes in rotating rb convection using threedimensional direct numerical simulations dns and. Controlling heat transport and flow structures in thermal turbulence using. In particular, we address the question of whether, and if so where in the flow, the socalled bolgianoobukhov scaling exists, i. These nonlinear wall states survive in the presence of turbulence in the bulk and are robust with respect to changes in the shape of the boundary of the container. Rbc plays an important role in a large range of phenomena in geophysics. As a prototype of problem and to demonstrate the main ideas, we study the twodimensional rayleighbenard convection. Understanding rbc at parameter regimes of interest requires complex physical or numerical experiments.
Selecting this option will search all publications across the scitation platform selecting this option will search. Diffusion maps embedding and transition matrix analysis of. Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution to cite this article. Download it once and read it on your kindle device, pc, phones or tablets. Introduction fluid motion driven by thermal gradients thermal convection is a common and important phenomenon in nature. Boundary layer structure in turbulent thermal convection. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. The main objective of this article is part of a research program to link the dynamics of. In this paper, we propose an efficient way to quantify plume merging using three accessible statistics. Effect of sidewall on heat transfer and flow structure in. The study exclusively focuses on the structures that from when the rbc geometry is a cylinder.
Physicists and engineers have made much progress in understanding this phenomenon in simple laboratory geometries, but still have a way to go. Dynamics and statistics of reorientations of largescale. The main objective of this article is part of a research program to link the dynamics of fluid flows with the structure of these fluid flows in physical space and the transitions of this structure. Rapidly rotating turbulent rayleighbenard convection volume 322 k. The relation between turbulent structures and the dynamics of. Jets and largescale vortices in rotating rayleigh benard convection. Pdf plume dynamics in rotating rayleighbenard convection. Effect of sidewall on heat transfer and flow structure in rayleighbenard convection volume 881 zhenhua wan, ping wei, roberto verzicco, detlef lohse, guenter ahlers, richard j. Structures and dynamics advanced series in nonlinear dynamics series by a. In addition to the classical problem of a horizontal stationary fluid layer heated from below, it also briefly covers convection in such a layer with. Jets and largescale vortices in rotating rayleighbenard convection. In this paper, we propose an efficient way to quantify plume merging using three. Plume dynamics in rotating rayleighbenard convection.
530 1180 1072 664 904 1403 677 900 124 693 1042 528 236 769 452 617 1482 890 290 839 1067 1138 35 133 134 938 1014 1447 1093 643 1191 1450 682