Revisiting the stability analysis of the flow over a rotating disk
2014 (English)Report (Other academic)
Local linear stability analysis applied to the rotating-disk flow is discussed.This flow case is an exact similarity solution to the cylindrical incompressibleNavier–Stokes equations also called the von Karman flow. The laminar mean velocity profiles are obtained by solving the resulting ordinary differential equa-tions assuming the flow is axisymmetric and time independent. Two stability-analyses methods are used to investigate the local linear stability of this flow: i)the ‘shooting method’; and ii) the ‘Chebyshev polynomial method’. This the-oretical investigation focuses on convectively unstable disturbances. Resultsobtained from the two methods are compared and the methods are shown togive similar results. These theoretical results are also compared with directnumerical simulations and experimental results showing good agreement.
Place, publisher, year, edition, pages
2014. , 128 p.
Fluid mechanics, boundary layer, rotating disk, laminar-turbulent transition
Research subject Engineering Mechanics
IdentifiersURN: urn:nbn:se:kth:diva-146079OAI: oai:DiVA.org:kth-146079DiVA: diva2:722139
QC 201406172014-06-052014-06-052015-06-05Bibliographically approved