### Abstract

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 dumbbellshaped 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. Indepth details are given on the continuum model describing a suspension of active rods and its stability behaviour around a state of uniformity and isotropy.

Original language | English (US) |
---|---|

Title of host publication | New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: July 2009 |

Publisher | Oxford University Press |

Volume | 92 |

ISBN (Print) | 9780191729522, 9780199605835 |

DOIs | |

State | Published - Sep 22 2011 |

### Fingerprint

### Keywords

- Immersed particles
- Kirkwood formula
- Non-newtonian fluid mechanics
- Oldroyd-b model
- Pumping
- Swimming rod

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: July 2009*(Vol. 92). Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199605835.003.0003

**Dynamics of complex biofluids.** / Hohenegger, Christel; Shelley, Michael.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: July 2009.*vol. 92, Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199605835.003.0003

}

TY - CHAP

T1 - Dynamics of complex biofluids

AU - Hohenegger, Christel

AU - Shelley, Michael

PY - 2011/9/22

Y1 - 2011/9/22

N2 - 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 dumbbellshaped 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. Indepth details are given on the continuum model describing a suspension of active rods and its stability behaviour around a state of uniformity and isotropy.

AB - 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 dumbbellshaped 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. Indepth details are given on the continuum model describing a suspension of active rods and its stability behaviour around a state of uniformity and isotropy.

KW - Immersed particles

KW - Kirkwood formula

KW - Non-newtonian fluid mechanics

KW - Oldroyd-b model

KW - Pumping

KW - Swimming rod

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U2 - 10.1093/acprof:oso/9780199605835.003.0003

DO - 10.1093/acprof:oso/9780199605835.003.0003

M3 - Chapter

AN - SCOPUS:84921905677

SN - 9780191729522

SN - 9780199605835

VL - 92

BT - New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: July 2009

PB - Oxford University Press

ER -