chaosbook:pdes
====== Differences ====== This shows you the differences between two versions of the page.
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chaosbook:pdes [2009/04/08 07:59] predrag created a turbulence chapter |
chaosbook:pdes [2012/04/13 08:20] (current) predrag [A literature blog] |
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| {{gtspring2009:pc.jpg}} | {{gtspring2009:pc.jpg}} | ||
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| + | ===== A literature blog ===== | ||
| + | |||
| + | [[literature|click here]] | ||
| ===== Plumbers unite! A manifesto ===== | ===== Plumbers unite! A manifesto ===== | ||
| [[researchProgram|click here]] | [[researchProgram|click here]] | ||
| + | |||
| + | |||
| ===== A plane Couette blog ===== | ===== A plane Couette blog ===== | ||
| [[pCf|click here]] | [[pCf|click here]] | ||
| + | |||
| + | ===== A pipe blog ===== | ||
| + | |||
| + | [[pipes|click here]] | ||
| + | |||
| + | ===== A Taylor-Couette blog ===== | ||
| + | |||
| + | [[Taylor-Couette|click here]] | ||
| + | |||
| + | ===== A baroclinic blog ===== | ||
| + | |||
| + | [[baroclynic|click here]] | ||
| ===== Rėsumė ===== | ===== Rėsumė ===== | ||
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| Here all references to external literature (avoid them in the text proper, it is meant to be self-contained). | Here all references to external literature (avoid them in the text proper, it is meant to be self-contained). | ||
| + | |||
| + | ==== Nomenclature ==== | ||
| + | |||
| + | a **streak** is a region of streamwise velocity deviation from the mean streamwise velocity | ||
| + | |||
| + | **rolls**, **vortices** are defined in terms of spanwise normal section in-plane velocity (streammwise vorticity) | ||
| + | |||
| + | **bifurcations**: | ||
| + | |||
| + | F.H. Busse\cite[BC96a]: Many fluid flows exhibit sequences of bifurcations in which new dynamical mechanisms are introduced. Symmetries may be broken at each bifurcation. | ||
| + | * __primary state__ exhibits full symmetries of the system (example: laminar solution) | ||
| + | * __secondary states__ take - for planar flows - form of //2d// rolls | ||
| + | * __tertiary states__ are full //3d// structures (examples: equilibria of plane Couette) | ||
| + | * __quaternary states__ a time-periodic //3d// invariant solutions (examples: traveling waves?) | ||
| + | In plane Couette experiments a transition to turbulent from laminar occurs at ''Re'' of order of ''Re=1600/4'', with //3d// structures realized\cite{DD95} as early as ''Re=640/4'' | ||
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| - | ~~DISCUSSION~~ | + | @InProceedings{BC96a, |
| + | title = {Bifurcation Sequences in Fluid Flows and Coherent Structures in | ||
| + | the Turbulent State}, | ||
| + | author = {Busse, F. H. and Clever, R. M.}, | ||
| + | year = {1996}, | ||
| + | booktitle = {Advances in Turbulence VI}, | ||
| + | editor = {Gavrilakis, S. and Machiels, L. and Monkewitz, P. A.}, | ||
| + | series = {Proceedings of the Sixth European Turbulence Conference}, | ||
| + | pages = {309-312} | ||
| + | } | ||
| + | |||
| + | @Article{ DD95, | ||
| + | author = "O. Dauchot and F. Daviaud", | ||
| + | title = "Finite-amplitude perturbation and spots growth mechanism in plane {C}ouette flow", | ||
| + | journal = "Phys. Fluids", | ||
| + | volume = "7", | ||
| + | year = "1995", | ||
| + | pages = "335--343" | ||
| + | } | ||
| + | |||
| + | @Article{KaUhVe12, | ||
| + | AUTHOR = {van Veen, L. and Kawahara, G.}, | ||
| + | TITLE = {The significance of simple invariant solutions | ||
| + | in turbulent flows}, | ||
| + | YEAR = {2012}, | ||
| + | JOURNAL = {Ann. Rev. Fluid Mech.}, | ||
| + | VOLUME = {44}, | ||
| + | PAGES = {203–25} | ||
| + | } | ||
| + | |||
| + | @Article{VeKa11, | ||
| + | AUTHOR = {van Veen, L. and Kawahara, G.}, | ||
| + | TITLE = {Homoclinic tangle at the edge of shear turbulence}, | ||
| + | YEAR = {2011}, | ||
| + | JOURNAL = {Phys. Rev. Lett.}, | ||
| + | VOLUME = {107}, | ||
| + | PAGES = {114501} | ||
| + | } | ||
chaosbook/pdes.1239202793.txt.gz · Last modified: 2009/04/08 07:59 by predrag
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