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New Trends in the Physics and Mechanics of Biological SystemsLecture Notes of the Les Houches Summer School: Volume 92, July 2009$
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Martine Ben Amar, Alain Goriely, Martin Michael Müller, and Leticia Cugliandolo

Print publication date: 2011

Print ISBN-13: 9780199605835

Published to Oxford Scholarship Online: September 2011

DOI: 10.1093/acprof:oso/9780199605835.001.0001

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Dynamics of complex biofluids

Dynamics of complex biofluids

Chapter:
(p.65) 3 Dynamics of complex biofluids
Source:
New Trends in the Physics and Mechanics of Biological Systems
Author(s):

Christel Hohenegger

Michael J. Shelley

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199605835.003.0003

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

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