By Bernard Roux (auth.), Bernard Roux (eds.)
For the final ten years, there was an ever-increasing understanding that fluid movement and shipping techniques motivated via buoyancy are of curiosity in lots of fields of technology and expertise. specifically, loads of learn has been dedicated to the oscillatory behaviour of metal melts (low-Pr fluids) as a result of very an important impression of such circulate oscillations at the caliber of becoming crystals, semi-conductors or metal alloys, for complex expertise functions. try out situations at the 2nd oscillatory convection in differentially heated cavities containing low-Pr fluids were outlined by means of the organizing committee, and proposed to the group in 1987. The GAMM-Worshop used to be attended by way of fifty five scientists from 12 international locations, in Oct. 1988 in Marseille (France). Twenty-eight teams contributed to the required circumstances coming from France (12), different eu nations (7) and different nations: united states, Japan and Australia (9). numerous teams additionally awarded options of varied similar difficulties comparable to actual decision of the edge for the onset of oscillations, thermocapillary impact in open cavities, and 3D simulations. interval doubling, quasi- periodic behaviour, opposite transition and hysteresis loops were suggested for prime Grashof numbers in closed cavities. The workshop was once additionally open to complementary contributions (5), from experiments and concept (stability and bifurcation analysis). The ebook includes information about a few of the equipment hired and the categorical effects bought by means of each one contributor.
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Extra resources for Numerical Simulation of Oscillatory Convection on Low-Pr Fluids: A GAMM Workshop
015. RR (conducting) case. (a) time history of 'I'mnx. -~='E==='T'----, . 52 (a) (b) . 51 . 41 L~~~~":::====::.. Q]5. RR (conducting) case. ns . 424 . 420 • q 16 "! ": "! "! 0 ~ "! ": to CD 0 N "" "' N N N N liME Fig. OI 5, RR (insulating) case. 111 ... 4 39 . 437 ... 4S . ns 0 "! ": "! "! "! 0 TIME (til Z . 28 2. 12 . 42 . 41 '" 0 "! ": "! "! "! ": "! "! 20 "! ": ": "! 7 . 0 TIME ~ N ": - "! "! 15 <: . 35 104 , (b)0r=5. 8 IS . 47 0 - . 1 0 E . 46 .... 32 . 49 FREQUENCY A FINITE-DIFFERENCE METHOD WITH DIRECT SOLVERS FOR THERMALLY-DRIVEN CAVITY PROBLEMS S.
ISO Buoyancy-driven oscillatory flows in shallow cavities filled with low-Prandtl number fluids by H. Ben Hadid and B. Roux Institut de Mecanique des Fluides, UM34 du CNRS I, rue Honnorat 13003 Marseille, France SUMMARY Unsteady flow regimes occurring in horizontal cavities filled with low Prandtl number fluids have been studied by finite difference methods. In addition to the benchmark case, attention was focused on the determination of the onset of oscillatory regimes for rigid-rigid (denoted RR) and for rigid-free (R-F) horizontal walls.
1 104 . OI5, in the conducting case. The range of Orashof numbers in which this loop exists, depends on Pr. S. ,VKI Lectures Series, Computational Fluid Mechanics,(1983).  Ben Hadid H. , These de Doctorat d'Etat, Universite d'Aix-Maseille II, (1989).  Ben Hadid H. , Oscillatory buoyancy-driven convection in horizontal liquid-metal layer. ESA-SP-256 (1987), pp. 477-485, . C. , Automatic numerical generation of a body-fitted curvilinear coordinate system. J. 5. (1974), pp. 299- 319.  Ben Hadid H.