Stability of solution branches in infinite rotating disc flow

K.M.P. Eeten, van, J. Schaaf, van der, G.J.F. Heijst, van, J.C. Schouten

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademic

Samenvatting

The stability of steady solutions of the Navier-Stokes equations for the problem of viscous flow between an infinite rotating disk and an infinite stationary disk is investigated. A random disturbance is applied to five velocity profiles at t=0, after which the disturbance propagation, $\Delta(t)$, defined as the squared difference of the azimuthal velocity at time t with the steady state azimuthal velocity, is determined. From this propagation data, the Lyapunov exponents are obtained as a function of the Reynolds number. It was found that four of the five solution branches (including the Batchelor solution) are Lyapunov stable. The Stewartson solution, on the other hand, was found to have a positive Lyapunov exponent and diverged from its initial state to a Batchelor type of flow. The mechanism with which the non-viscous core obtains its angular momentum during this transition was identified as being dominated by radial convection from larger radii towards the axis of rotation.
Originele taal-2Engels
Titel65th Annual Meeting of the American Physical Society - Division Fluid Dynamics (APS-DFD), 18-20 November 2012, San Diego, California
StatusGepubliceerd - 2012
Evenement65th Annual Meeting of the APS Division of Fluid Dynamics (DFD12), November 18-20, 2012, San Diego, CA, USA - San Diego, CA, Verenigde Staten van Amerika
Duur: 18 nov 201220 nov 2012
http://www.aps.org/meetings/meeting.cfm?name=DFD12

Congres

Congres65th Annual Meeting of the APS Division of Fluid Dynamics (DFD12), November 18-20, 2012, San Diego, CA, USA
Verkorte titelDFD12
LandVerenigde Staten van Amerika
StadSan Diego, CA
Periode18/11/1220/11/12
AnderAmerican Physical Society (APS) 65th annual DFD meeting
Internet adres

Vingerafdruk Duik in de onderzoeksthema's van 'Stability of solution branches in infinite rotating disc flow'. Samen vormen ze een unieke vingerafdruk.

Citeer dit