A Student's Guide to the Navier-Stokes Equations

Justin W. Garvin

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English

Cambridge University Press
09 February 2023

Mathematics & Sciences; 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
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 152mm, Spine: 12mm
Weight: 400g
ISBN: 9781009236164
ISBN 10: 1009236164
Series: Student's Guides
Pages: 236
Publication Date: 09 February 2023
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

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.

Reviews for A Student's Guide to the Navier-Stokes Equations

'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, Choice