Worlds of Flow: A history of hydrodynamics from the Bernoullis to Prandtl

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $37.21
Usually ships in 1-2 business days
(Save 22%)
Other sellers (Paperback)
  • All (11) from $37.21   
  • New (8) from $37.21   
  • Used (3) from $69.39   


The first of its kind, this book is an in-depth history of hydrodynamics from its eighteenth-century foundations to its first major successes in twentieth-century hydraulics and aeronautics. It documents the foundational role of fluid mechanics in developing a new mathematical physics. It gives full and clear accounts of the conceptual breakthroughs of physicists and engineers who tried to meet challenges in the practical worlds of hydraulics, navigation, blood circulation, meteorology, and aeronautics, and it shows how hydrodynamics at last began to fulfill its early promise to unify the different worlds of flow. Richly illustrated, technically thorough, and sensitive to cross-cultural effects, this history should attract a broad range of historians, scientists, engineers, and philosophers and be a standard reference for anyone interested in fluid mechanics.

Read More Show Less

Product Details

  • ISBN-13: 9780199559114
  • Publisher: Oxford University Press, USA
  • Publication date: 2/16/2009
  • Pages: 370
  • Product dimensions: 6.60 (w) x 9.30 (h) x 0.70 (d)

Meet the Author

Olivier Darrigol is Research Director at Centre National de la Recherche Scientifique, Paris, France. His previous book, Electrodynamics from Ampere to Einstein (OUP 2000), won the Marc-Auguste Pictet prize of the Société de Physique et d'Histoire Naturelle de Geneve in 2000. In 2004, he was awarded the Grammaticakis-Neumann prize of the French Academy of Sciences.

Read More Show Less

Table of Contents

Conventions and notation xiii

1 The dynamical equations 1

1.1 Daniel Bernoulli's Hydrodynamica 4

1.2 Johann Bernoulli's Hydraulica 9

1.3 D'Alembert's fluid dynamics 11

1.4 Euler's equations 23

1.5 Lagrange's analysis 26

2 Water waves 31

2.1 French mathematicians 32

2.2 Scott Russell, the naval engineer 47

2.3 Tides and waves 56

2.4 Finite waves 69

2.5 The principle of interference 85

3 Viscosity 101

3.1 Mathematicians' versus engineers' fluids 103

3.2 Navier: molecular mechanics of solids and fluids 109

3.3 Cauchy: stress and strain 119

3.4 Poisson: the rigors of discontinuity 122

3.5 Saint-Venant: slides and shears 126

3.6 Stokes: the pendulum 135

3.7 The Hagen-Poiseuille law 140

4 Vortices 145

4.1 Sound the organ 146

4.2 Vortex motion 148

4.3 Vortex sheets 159

4.4 Foehn, cyclones, and storms 166

4.5 Trade winds 172

4.6 Wave formation 178

5 Instability 183

5.1 Divergent flows 184

5.2 Discontinuous flow 188

5.3 Vortex atoms 190

5.4 The Thomson-Stokes debate 197

5.5 Parallel flow 208

6 Turbulence 219

6.1 Hydraulic phenomenology 221

6.2 Saint-Venant on tumultuous waters 229

6.3 Boussinesq on open channels 233

6.4 The turbulent ether 239

6.5 Reynolds's criterion 243

7 Drag and lift 264

7.1 Tentative theories 265

7.2 Ship resistance 273

7.3 Boundary layers 283

7.4 Wing theory 302

8 Conclusion 323

Appendix A Modern discussion of d'Alembert's paradox 326

Bibliography 329

Bibliographic abbreviations 329

Bibliographic of primary literature 330

Bibliographic of secondary literature 344

Index 350

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)