Overview
- A full-range fluid dynamics course with in-depth derivations of both elementary and advanced results
- Introduces mathematical techniques ("calculus") used in analyzing fluid flows
- Numerous step-by-step calculations of results so far contained mostly in the research literature
Part of the book series: Theoretical and Mathematical Physics (TMP)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (13 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks.
Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics.
Many of the derivations, so far contained only in research journals, are made available here to a wider public.
Authors and Affiliations
About the author
Achim Feldmeier is an astrophysicist and obtained his PhD in astronomy from Ludwig-Maximilians-Universität in München in 1994. He was postdoc at the University of Kentucky in Lexington and at Imperial College in London.
Since 2000 he works at the Universität Potsdam, where he is apl professor since 2006. He gave numerous courses in hydrodynamics and his research work is on flow properties of stellar winds.
Bibliographic Information
Book Title: Theoretical Fluid Dynamics
Authors: Achim Feldmeier
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-030-31022-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-31021-9Published: 18 March 2020
Softcover ISBN: 978-3-030-31024-0Published: 26 August 2021
eBook ISBN: 978-3-030-31022-6Published: 17 March 2020
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XVI, 569
Number of Illustrations: 476 b/w illustrations, 25 illustrations in colour
Topics: Fluid- and Aerodynamics, Classical Mechanics, Mathematical Methods in Physics, Mathematical Applications in the Physical Sciences, Engineering Fluid Dynamics, Theoretical Astrophysics