**Contemporary Mathematics**

Volume: 141;
1993;
586 pp;
Softcover

MSC: Primary 35; 65; 76; 92;

**Print ISBN: 978-0-8218-5148-7
Product Code: CONM/141**

List Price: $100.00

AMS Member Price: $80.00

MAA Member Price: $90.00

**Electronic ISBN: 978-0-8218-7732-6
Product Code: CONM/141.E**

List Price: $94.00

AMS Member Price: $75.20

MAA Member Price: $84.60

# Fluid Dynamics in Biology

Share this page *Edited by *
*A. Y. Cheer; C. P. van Dam*

This book contains nearly all the papers presented at
the AMS-IMS-SIAM Joint Summer Research Conference on
Biofluiddynamics, held in July 1991, at the University of Washington,
Seattle. The lead paper, by Sir James Lighthill, presents a
comprehensive review of external flows in biology. The other papers on
external and internal flows illuminate developments in the protean field
of biofluiddynamics from diverse viewpoints, reflecting the field's
multidisciplinary nature. For this reason, the book appeals to
mathematicians, biologists, engineers, physiologists, cardiologists,
and oceanographers.

The papers highlight a number of problems that have remained largely
unexplored due to the difficulty of addressing biological flow motions,
which are often governed by large systems of nonlinear differential
equations and involve complex geometries. However, recent advances in
computational fluid dynamics have expanded opportunities to solve such
problems. These developments have increased interest in areas such as
the mechanisms of blood and air flow in humans, the dynamic ecology of
the oceans, animal swimming and flight, to name a few. This volume
addresses many of these flow problems.

#### Readership

Biologists with interest in fluid dynamics, applied mathematicians, engineers, physiologists, and oceanographers.

# Table of Contents

## Fluid Dynamics in Biology

- Contents v6 free
- Preface ix10 free
- Sir James Lighthill xi12 free
- Biofluiddynamics: A survey 114 free
- Hairy little legs: Feeding, smelling, and swimming at low Reynolds numbers 3346
- Disturbance, natural selection, and the prediction of maximal wave-induced forces 6578
- Computational modeling of the swimming of biflagellated algal cells 91104
- Mechanical approach toward flagellar motility 103116
- Mechanical analysis of particle capture by rectangular-mesh nets 123136
- Fish as filters: An empirical and mathematical analysis 135148
- Computational biofluid dynamics 161174
- Acoustic streaming in the ear itself 187200
- Computation of incompressible viscous flows through artificial heart devices with moving boundaries 237250
- An implicit numerical method for fluid dynamics problems with immersed elastic boundaries 261274
- Continuum models of platelet aggregation: Mechanical properties and chemically-induced phase transitions 279292
- Surface-tension instabilities of liquid-lined elastic tubes 295308
- Dynamic flow in the nephron: Filtered delay in the TGF pathway 317330
- A new finite-difference scheme and its application to flows in stenosed arteries 337350
- On aerodynamics and the energetics of vertebrate flapping flight 351364
- On the significance of unsteady effects in the aerodynamic performance of flying animals 401414
- Mechanics and energetics of ground effect in flapping flight 421434
- Stability of aquatic animal locomotion 443456
- Lift and drag calculations for wings and tails: Techniques and applications 463476
- Flow in large blood vessels 479492
- The mechanics of blood flow in capillaries 519532
- Unsteady flow in a curved pipe 543556
- Optimality in biological fluid transport systems 565578