Document Detail

Influence of counter-rotating von Kármán flow on cylindrical Rayleigh-Bénard convection.
MedLine Citation:
PMID:  20365869     Owner:  NLM     Status:  PubMed-not-MEDLINE    
The axisymmetric flow in an aspect-ratio-one cylinder whose upper and lower bounding disks are maintained at different temperatures and rotate at equal and opposite velocities is investigated. In this combined Rayleigh-Bénard/von Kármán problem, the imposed temperature gradient is measured by the Rayleigh number Ra and the angular velocity by the Reynolds number Re. Although fluid motion is present as soon as Re not equal 0 , a symmetry-breaking transition analogous to the onset of convection takes place at a finite Rayleigh number higher than that for Re=0 . For Re<95 , the transition is a pitchfork bifurcation to a pair of steady states, while for Re>95 , it is a Hopf bifurcation to a limit cycle. The steady states and limit cycle are connected via a pair of saddle-node infinite-period bifurcations except very near the Takens-Bogdanov codimension-two point, where the scenario includes global bifurcations. Detailed phase portraits and bifurcation diagrams are presented, as well as the evolution of the leading part of the spectrum, over the parameter ranges 0<or=Re<or=120 and 0<or=Ra<or=30 000 .
Lyes Bordja; Laurette S Tuckerman; Laurent Martin Witkowski; María Cruz Navarro; Dwight Barkley; Rachid Bessaih
Related Documents :
19603739 - Dilution rates for tailpipe emissions: effects of vehicle shape, tailpipe position, and...
15697719 - Spreading of a micrometric fluid strip down a plane under controlled initial conditions.
8899419 - Generation of streaming potential by liposomes in cylindrical capillary. a physical model.
16399659 - Transport and uptake of mtbe and ethanol vapors in a human upper airway model.
12545239 - On vortex loops and filaments: three examples of numerical predictions of flows contain...
18008279 - Prediction of the location of stationary steady-state zone positions in counterflow iso...
15008489 - Location of the elevation axis in a large optical telescope.
22539109 - Efficient nonlinear optical properties of dyes confined in interlayer nanospaces of cla...
25321969 - Dispersion characterization of two orthogonal modes in a birefringence tellurite micros...
Publication Detail:
Type:  Journal Article     Date:  2010-03-26
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  81     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2010 Mar 
Date Detail:
Created Date:  2010-04-06     Completed Date:  2010-07-09     Revised Date:  2010-12-29    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  036322     Citation Subset:  -    
Faculté Sciences de l'Ingénieur, Département de Génie Mécanique, Université de Jijel, BP 98, Ouled Aissa, Jijel-18000, Algeria.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Erratum In:
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 2):069903

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Previous Document:  Extreme multiplicity in cylindrical Rayleigh-B?nard convection. II. Bifurcation diagram and symmetry...
Next Document:  Building a reduced model for nonlinear dynamics in Rayleigh-B?nard convection with counter-rotating ...