Format:
1 Online-Ressource(XVI, 569 p. 500 illus., 25 illus. in color.)
Edition:
1st ed. 2019.
ISBN:
9783030310226
Series Statement:
Theoretical and Mathematical Physics
Content:
Description of fluids -- Flows in the complex plane -- Vortices, corner flow and flow past plates -- Jets, wakes and cavities -- Kelvin-Helmholtz instability -- Kinematics of waves -- Shallow water waves -- Free surface waves -- Existence proof for weakly nonlinear water waves -- Sound and internal gravity waves -- Supersonic flow and shocks.
Content:
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.
Additional Edition:
ISBN 9783030310219
Additional Edition:
ISBN 9783030310233
Additional Edition:
ISBN 9783030310240
Additional Edition:
Erscheint auch als Druck-Ausgabe Feldmeier, Achim, 1960 - Theoretical fluid dynamics Cham, Switzerland : Springer, 2020 ISBN 9783030310219
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030310233
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030310240
Language:
English
Subjects:
Physics
Keywords:
Strömungsmechanik
;
Theoretische Physik
DOI:
10.1007/978-3-030-31022-6
