250 likes | 373 Views
Synchronization of polymer molecules. Andriy Hlod. dr. R. Koopmans dr. ir. J. den Doelder dr. J. Claracq The Dow Chemical Company, Terneuzen prof. dr. J. Molenaar dr. ir. A.A.F. van de Ven Eindhoven University of Technology. Outline. Synchronization Flow instabilities
E N D
Synchronization of polymer molecules Andriy Hlod dr. R. Koopmans dr. ir. J. den Doelder dr. J. Claracq The Dow Chemical Company, Terneuzen prof. dr. J. Molenaar dr. ir. A.A.F. van de Ven Eindhoven University of Technology
Outline • Synchronization • Flow instabilities • Problem description • Model of polymer molecules • Model of moving molecules • Conclusions • Recommendations
Sync. (discovering) • Christiaan Huygens(1665) • Mutual synchronization of two pendulum clocks • Coupling through beam or wall
Sync. (examples) • Applause in theater • Male fireflies flashes • Circadian rhythm
Sync. (definition) Synchronization: Adjustment of rhythms of oscillating objects due to their weak interaction
Sync. (polymer molecules) • Polymer molecules are oscillators • Polymer molecules are coupled, they can influence oscillations of each other • Can polymer molecules be synchronized?
Flow instabilities (videos) flow stress birefringence images from Christelle Combeaud, from CEMEF, France for the 3PI project
Problem description Is it possible that the dynamics of the polymer molecules show synchronization? If the answer is positive, is there a relation with flow instabilities in polymers?
Model of a polymer molecule • Elastic dumbbell • (two beads and Maxwell element) • Kicks to compensate • energy dissipation
Model of two molecules - Maxwell element
Result (model of two molecules) • Is it possible that the dynamics of the polymer molecules show synchronization? • Synchronization is possible for this specific configuration of polymer molecules. • Still to answer: Is there a relation with flow instabilities in polymers?
Moving molecules (flow) • Shear flow • Small region with two parallel layers of molecules
Moving molecules (model) cFE – finitely extensible spring
Moving molecules (model) D - dash-pot
Results (energy) small V Edissipation + Eoscillations = Einput larger V Edissipation + Eoscillations = Einput
Results (influence of V) Synch Chaos E oscillations 0 V Vcritical Is there a relation with flow instabilities in polymers? Vcritical indicates the onset of instabilities in the model of moving molecules.
Conclusions • Polymer molecules show synchronous behaviour • Model of moving molecules shows • instabilities for V> Vcritical
Recommendations • Continue research • Use real parameters for the model of moving molecules