Chapter

Dynamics of complex biofluids

Christel Hohenegger and Michael J. Shelley

in New Trends in the Physics and Mechanics of Biological Systems

Published in print May 2011 | ISBN: 9780199605835
Published online September 2011 | e-ISBN: 9780191729522 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199605835.003.0003

Series: Lecture Notes of the Les Houches Summer School

Dynamics of complex biofluids

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This chapter is organized as follows. Section 2 reviews the basics of non-Newtonian fluid mechanics and then focuses on the two main examples, of rod-shaped and dumbbell-shaped immersed particles. The latter is a necessary element in the derivation of the Oldroyd-B model and is described in Section 3.3. In order to find the extra stress due to a suspension of rod-like bodies, the Kirkwood formula is recalled in Section 3.2.3 and its application to an actively swimming rod is presented. The last section, Section 3.4, consists of an overview of recent work on two important applications, pumping and swimming. In-depth details are given on the continuum model describing a suspension of active rods and its stability behaviour around a state of uniformity and isotropy.

Keywords: non-Newtonian fluid mechanics; immersed particles; Oldroyd-B model; Kirkwood formula; swimming rod; pumping

Chapter.  12202 words.  Illustrated.

Subjects: Physics

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