A Student's Guide to the Navier-Stokes Equations

Justin W. Garvin (University of Iowa)

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Hardback

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English

Cambridge University Press
09 February 2023

Non-linear science; Fluid mechanics; Astrophysics; Oceanography (seas); Mechanics of fluids

Series: Student's Guides

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.

By: Justin W. Garvin (University of Iowa)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 157mm, Spine: 16mm
Weight: 510g
ISBN: 9781009236157
ISBN 10: 1009236156
Series: Student's Guides
Pages: 236
Publication Date: 09 February 2023
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

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.

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.