A Student's Guide to the Navier-Stokes Equations
Published on 9. February 2023
Book
Paperback/Softback
236 pages
978-1-009-23616-4 (ISBN)
Description
The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.
Reviews / Votes
'The book reads easily and its production quality is good. ... Graduate students and senior undergraduate students with a good background in differential equations can benefit from using this book. ... Recommended.' M. Alam, ChoiceMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 225 mm
Width: 148 mm
Thickness: 14 mm
Weight
408 gr
ISBN-13
978-1-009-23616-4 (9781009236164)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Justin W. Garvin
A Student's Guide to the Navier-Stokes Equations
Book
02/2023
Cambridge University Press
€62.50
Shipment within 15-20 days
Justin W. Garvin
A Student's Guide to the Navier-Stokes Equations
E-Book
02/2023
Cambridge University Press
€23.49
Available for download
Person
Justin W. Garvin is Associate Professor of Instruction in the Department of Mechanical Engineering at the University of Iowa. He has previously worked as a Research Engineer at Iowa's IIHR-Hydroscience and Engineering research lab and at the US Air Force Research Laboratory. His primary areas of interest are heat, fluid mechanics, and thermal physics.
Content
Preface; Acknowledgements; 1. Mass conservation and the continuity equation; 2. The material derivative: The first step to the Navier-Stokes equations; 3. Force balance, the stress tensor, and the Navier-Stokes equations; 4. The Navier-Stokes equations: Another approach; 5. The energy equation and a discussion on diffusion and advection; 6. Non-dimensionalalization and scaling; Further reading; Index.