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Peristaltic pumping of a viscoelastic fluid at high occlusion ratios and large Weissenberg numbers
 

Summary: Peristaltic pumping of a viscoelastic fluid at high
occlusion ratios and large Weissenberg numbers
Hector D. Ceniceros
Department of Mathematics, University of California Santa Barbara, CA 93106
Jordan E. Fisher
Department of Mathematics, University of California Santa Barbara, CA 93106
Abstract
Peristaltic pumping is a mechanism for transporting fluid or immersed par-
ticles in a channel by waves of contraction. It occurs in many biological
organisms as well as in several human designed systems. In this study, we in-
vestigate numerically the peristaltic pumping of an incompressible viscoelas-
tic fluid using the simple Oldroyd-B model coupled to the Navier-Stokes
equations. The pump's walls are assumed to be massless immersed fibers
whose prescribed periodic motion and flow interaction is handled with the
Immersed Boundary Method. We utilize a new, highly efficient non-stiff
version of this method which allows us to explore an unprecedented range
of parameter regimes, nearly all possible occlusion ratios and Weissenberg
numbers in excess of 100. Our numerical investigation reveals rich, highly
concentrated stress structures and new, striking dynamics. The investigation
also points to the limitations of the Oldroyd B model, with a potential finite

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics