By P. Frick, S. Denisov, S. Khripchenko, V. Noskov, D. Sokoloff, R. Stepanov (auth.), P. Chossat, D. Ambruster, I. Oprea (eds.)
This e-book includes the lectures given on the workshop "Dynamo and dynamics, a mathematical problem" held in Cargese from August 21 to 26, 2000. The workshop differed from such a lot prior meetings at the dynamo impression in very important respects. First, it used to be at this foreign convention that the experimental statement of homogeneous fluid dynamos used to be first said. moment, the convention accrued scientists from very assorted fields, therefore displaying that thepynamo challenge has develop into an interdisciplinary topic concerning not just astrophysicists and geophysicists, but additionally scientists operating in dynamical platforms idea, hydrodynamics, and numerical simulation, in addition to numerous teams in experimental physics. This e-book hence stories very important effects on a variety of dynamo reviews in those diverse contexts: - many years after the invention of the 1st analytic examples of laminar fluid dynamos, the self-generation of a magnetic box through a circulation ofliquid sodium has been mentioned through the Karlsruhe and Riga teams. even if there have been no doubts in regards to the self iteration through the laminar Roberts-type or Ponomarenko-type flows that have been used, those experiments have raised attention-grabbing questions about the effect of the turbulent fluctuations at the dynamo threshold and at the saturation point of the magnetic field.
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Extra info for Dynamo and Dynamics, a Mathematical Challenge
5. 6. 7. 8. ,Will, G. (1998): Entwicklung der Pumpe fur den hydrodynamischen Kreislauf des Rigaer "Zylinderexperimentes". in Beitrage zu Fluidenergiemaschienen 4, edited by W. H. Faragallah, G. ), pp. , Freibergs, J (1976): To the theory of a helical MHD-dynamo. , Freibergs, J (1980): Instability type of screw dynamo. Magnetohydrodynamics 16, 116-121 Gailitis, A. (1996): Project of a liquid sodium MHD dynamo experiment. Magnetohydrodynamics 32, 58-62 Gailitis, A. et a\. (2000a): Detection of a flow induced magnetic field eigenmode in the Riga dynamo facility.
Field records On Figs. 2-5 are field records for one typical run which started with 153°C and ended with 175°C. Signals from different sensors are presented together with the propellers speed versus time. For the field the y axis is on left, for the propeller speed on the right. The time count is the same for all Figs. 2-5. The beginning of the run is on Fig. 2. When nothing moves the ftux- 14 ,. SO~ 'BOO g l'OO~ ·U '0> '" Figure 3. , limes '00 limes ". Field starts (left) and rises almost exponentially (right) gate feels Earth magnetic field deformed by our steel-concrete building and the steel frame of our experiment.
Most numerical dynamos are based either on laminar or on low kinetic Reynolds number flows. Moreover, the magnetic Prandtl number, which is of the the order of 10- 5 for liquid metals (Earth's case) is often chosen closer to unity in numerical simulations. Experimental fluid dynamos are needed because the spatial resolutions achieved in direct numerical simulations are unable to describe high kinetic Reynolds number flows which are the 25 P. Chossat et al. ), Dynamo and Dynamics, a Mathematical Challenge, 25-33.