A Student's Guide to the Navier-Stokes Equations

Erscheinungsjahr 2023
ISBN: 978-1-009-23615-7
Verlag: Cambridge University Press

Buch, Englisch, 236 Seiten, Format (B × H): 154 mm x 232 mm, Gewicht: 502 g

Reihe: 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.

Autoren/Hrsg.

Garvin, Justin W

Fachgebiete

• Geowissenschaften Geologie Marine Geologie, Ozeanographie (Meereskunde)
• Naturwissenschaften Astronomie Astrophysik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr

Inhaltsverzeichnis

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.

Über Autor(innen)

Garvin, Justin W
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.