State space properties of transitional pipe flow [Elektronische Ressource] / vorgelegt von Tobias M. Schneider

State Space Properties ofTransitional Pipe FlowDissertationzur Erlangung des Doktorgradesder Naturwissenschaften(Dr. rer. nat.)dem Fachbereich Physikder Philipps-Universit at MarburgvorgelegtvonTobias M. SchneiderausMarburg/LahnMarburg/Lahn 2007Vom Fachbereich Physik der Philipps-Universit at Marburgals Dissertation angenommen am: 14.06.2007Erstgutachter: Prof. Bruno Eckhardt, MarburgZweitgutachter: Prof. Eberhard Bodenschatz, G ottingenTag der mundlic hen Prufung: 15.06.2007State Space Properties ofTransitional Pipe Flow\Although in most ways the exact manner in which water moves is di cult to perceiveand still more di cult to de ne, as are also the forces attending such motion, certaingeneral features both of the forces and motions stand prominently forth, as if to inviteor to defy theoretical treatment."O. Reynolds [93]Praise be to the name of God for ever and ever;wisdom and power are his. ...He gives wisdom to the wise and knowledge to the discerning.He reveals deep and hidden things; ...I thank and praise you, O God of my fathers:You have given me wisdom and power, you have made known to me what we asked ofyou, ...Daniel 2:20{23 (The Bible - New International Version)iiZusammenfassungEinfuhrungDass Str omungen von Flussigk eiten oder Gasen bei h oheren Str omungs-geschwindigkeiten turbulent werden, ist ein t aglich erfahrbares und trotzdem inweiten Teilen nicht vollst andig verstandenes Ph anomen.