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Unformatted text preview: FUNDAMENTAL AND CONCEPTUAL ASPECTS OF TURBULENT FLOWS Arkady Tsinober Professor and Marie Curie Chair in Fundamental and Conceptual Aspects of Turbulent Flows Institute for Mathematical Sciences and Department of Aeronautics, Imperial College London Lectures series as a part of the activity within the frame Lectures as of the Marie Curie Chair “Fundamental and Conceptual Marie Chair Fundamental Aspects of Turbulent Flows”. Aspects We absolutely must leave room for doubt or there is no progress and no learning. There is no learning without posing a question. And a question requires doubt...Now the freedom of doubt, which is absolutely essential for the development of science, was born from a struggle with constituted authorities... FEYNMANN, 1964 FEYNMANN LECTURES XVII-XVIII AN OVERVIEW OF MISCONCEPTIONS AND/OR ILL POSED CONCEPTIONS Dealing with conceptual aspects one encounters the issue of misconceptions .. even wrong theories may help in designing machines, FEYNMAN, 1996 FEYNMAN, Dealing with conceptual aspects of turbulence research leads necessarily Dealing to address the misconceptions which emerged during more than a century of turbulence research attempting to achieve some physical understanding (picture) of this enigmatic phenomenon. Hence the purpose of this overview is twofold. Apart of critical aspect the main constructive aim and outcome from addressing a variety of misconceptions is a possibility of deeper understanding the problems to be encountered and coped with. Gradient transport ideas (which have been around since the beginning) are understood to be wrong in principle, yet they are used daily with moderate success by industry. Understanding how this can be (it is thoroughly explained by Tennekes and Lumley, 1972, p. 57) sheds light on turbulence. KRAICHNAN 1976 EXAMPLES ON CONCEPTUAL ASPECTS A REMINDING LEONARDO-REYNOLDS, DECOMPOSITION - conceptually correct*. LEONARDO Note that there is a conceptual difference between RANS and LES. Note BOUSSINESQ, EDDY VISCOSITY/diffusivity and mixing length BOUSSINESQ EDDY conceptually incorrect, though useful as an empirical tool**....
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