FUNDAMENTAL AND CONCEPTUAL ASPECTS OF TURBULENT FLOWS

Subject: REMINDER - Lectures on Conceptual Aspects, Part II - January 16 - March 19, 2008
Date: Mon, 14 Jan 2008 08:16:14 -0000
Thread-Topic: REMINDER - Lectures on Conceptual Aspects, Part II - January 16 - March 19, 2008
Thread-Index: Acgw2PHV/IfQGT20TeeiOeeKkKAiSglTluhRABd8yVA=
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Second part: January 16 - March 19, 2008

Lecture series by A. 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

SCOPE: As previously the lectures are devoted to a rather informal overview of basic features of turbulent flows (TF). The main emphasis is on conceptual and problematic aspects, physical phenomena, observations, misconceptions and unresolved issues rather than on conventional formalistic aspects, models, etc.. The lectures are based on the book by the author An informal introduction to turbulence , Springer, 2001 and its revision A conceptual introduction to turbulence, Springer, 2008 and recent developments in the field. As previously PDF files of the lectures will be accessible from internet.

MAIN THEMES: Lagrangian aspects and related issues, partly turbulent flows/entrainment. Structure(s) and intermittency. Strongly anisotropic turbulent flows. An overview of methods of studying turbulence; mathematical aspects. Some issues from the list advertised last year (see below) will be revisited.

AUDIENCE AND PREREQUISITES: Ph.D students and higher. Fluid dynamics including turbulence. Standard knowledge of physics and mathematics at graduate level.

TIME: Wednesdays, 16-00-17-00 and/or 16-00-18-00.

PLACE: Seminar Room, Institute for Mathematical Sciences, Imperial College London, 53 Princes Gate, Exhibition Road, South Kensington, London SW7 2PG

List of themes from the last year announcement

The following is an exemplifying list of some possible questions to be discussed/mentioned:

- Reynolds number dependence or where is the ∞? Is it (always) necessary to have large parameters to study the basic physics of turbulence? Is the nature of dissipation unimportant in the "inviscid" limit? Is the inertial range a conceptually well defined concept? Are its properties really independent of the nature of dissipation?

- Is "cascade" in genuine turbulence conceptually well defined notion or is it "mostly a pedagogical imagery"? Is there cascade in physical space? Is the Kolmogorov 4/5 law an unequivocal evidence of such a cascade? How meaningful is "cascade" of passive objects as described by linear equations? Is "cascade" Eulerian, Lagrangian or both? Are decompositions aiding understanding or obscuring the physics of turbulence?

- Is the physics of vortex stretching well understood? Is it a result of the kinematics of turbulence: are vortex lines on average stretched rather than compressed because two particles on average move apart from each other? Is enhanced dissipation in turbulence due to vortex stretching? Are vorticity and strain equal partners?

- What is (are) the meaning(s) of non locality of turbulence? What are its manifestations? Is non locality important? Is there screening in turbulence?

- How (much) statistical is turbulence? Is turbulence a part of statistical physics? Will non-equilibrium statistical mechanics play an increasingly important role in further progress of turbulence? Is turbulence ergodic?

- How rigorous is turbulence modeling? Modeling versus physics of turbulence.

- How analogous are quasi-two-dimensional flows? Diversity of strongly anisotropic flows (and the corresponding limiting states) as compared to pure two-dimensional ones.

- How analogous are the genuine and passive turbulence? What can be learned about genuine turbulence from its signature on the evolution of passive objects? What is the importance (if any) of statistical conservation laws in genuine turbulence?

- How prospective is Lagrangian description of turbulence? Is it different conceptually (not only technically) from the Eulerian one? Is it possible in this approach to separate the Lagrangian (kinematic) chaos from the genuine dynamical intrinsic (Eulerian) stochasticity? Is this a conceptual difficulty?

- What is universality of turbulence (if such exists)? What is the role of (the nature of) forcing and intial/upstream conditions in this and other issues? What are the situations and what are the properties which are (approximately) invariant of IC and BC? Is there qualitative universality?

- What are the main reasons for slow progress in handling the physics of turbulence (which is the key for the progress in any aspect of the problem). Is it due to i) inadequate tools to handle both the problem and the phenomenon of turbulence, ii) lack of fresh ideas, which is directly related to the (in)ability/skill/art to ask the right and correctly posed questions, iii) insufficient conceptual progress and dominance of some misconceptions or ill defined conceptions?

Professor Arkady Tsinober

Marie Curie Chair in Fundamental and conceptual aspects of turbulent flows

Institute for Mathematical Sciences and Department of Aeronautics, Imperial College London

53 Princes Gate, Exhibition Road, South Kensington Campus, London SW7 2PG, UK

Tel. (0)207 59 41940; E-mail: <mailto:a.tsinober@imperial.ac.uk>a.tsinober@imperial.ac.uk

And Pauli Fellow at Wolfgang Pauli Institute, UZA 4 Nordbergstrasse 15, A 1090 Vienna,Austria