Radyadour K. Zeytounian

Theory and Applications of Nonviscous Fluid Flows (eBook, PDF)

• Format: PDF

Produktbeschreibung

From the reviews: "Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." Mathematical Reviews

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 295
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642562150
• Artikelnr.: 53145436

Inhaltsangabe

1. Fluid Dynamic Limits of the Boltzmann Equation.- 1.1 The Boltzmann Equation.- 1.2 The Fluid Dynamic Limits.- 1.3 Comments.- 2. From Classical Continuum Theory to Euler Equations via N-S-F Equations.- 2.1 Newtonian Fluids.- 2.2 Partial Differential Equations for the Motion of Any Continuum.- 2.3 N-S-F Equations.- 2.4 Dimensionless N-S-F Equations.- 3. Short Presentation of Asymptotic Methods and Modelling.- 3.1 Method of Strained Coordinates.- 3.2 Method of Matched Asymptotic Expansions.- 3.3 Multiple Scale Method.- 3.4 Flow with Variable Viscosity: An Asymptotic Model.- 3.5 Low Mach Number Flows: Weakly Nonlinear Acoustic Waves.- 4. Various Forms of Euler Equations and Some Hydro-Aerodynamics Problems.- 4.1 Barotropic Inviscid Fluid Flow.- 4.2 Bernoulli Equation and Potential Flows.- 4.3 D'Alembert Paradox and Kutta-Joukowski-Villat Condition.- 4.4 Potential Flows and Water Waves.- 4.5 Compressible Eulerian Baroclinic Fluid Flow.- 4.6 Isochoric Fluid Flows.- 4.7 Isentropic Fluid Flow and the Steichen Equation.- 4.8 Steady Euler Equations and Stream Functions.- 5. Atmospheric Flow Equations and Lee Waves.- 5.1 Euler Equations for Atmospheric Motions.- 5.2 The Meteorological "Primitive" Kibel Equations.- 5.3 The Boussinesq Inviscid Equations.- 5.4 Isochoric Lee Waves.- 5.5 Boussinesq Lee Waves.- 6. Low Mach Number Flow and Acoustics Equations.- 6.1 Euler Incompressible Limit Equations.- 6.2 Equations of Acoustics.- 7. Turbo-Machinery Fluid Flow.- 7.1 Various Facets of an Asymptotic Theory.- 7.2 Through-Flow Model.- 7.3 Flow Analysis at the Leading/Trailing Edges of a Row.- 7.4 Complementary Remarks.- 8. Vortex Sheets and Shock Layer Phenomena.- 8.1 The Concept of Discontinuity.- 8.2 Jump Relations Associated with a Conservation Law.- 8.3 TheStructure of the Shock Layer.- 8.4 Some Properties of the Vortex Sheet.- 9. Rigorous Mathematical Results.- 9.1 Well-Posedness of Eulerian Fluid Flows.- 9.2 Existence, Regularity, and Uniqueness Results.- References.

Rezensionen

From the reviews of the first edition: "Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." (MATHEMATICAL REVIEWS, 2003g) "[...] presents a broad panorama of model problems encountered in nonviscous Newtonian fluid flows." (International Aerospace Abstracts 42/3, 2002) "This well-organized book can be recommended to students, teachers and researchers with an interest in asymptotic methods and rigorous foundations of nonviscous fluid mechanics." (Zentralblatt MATH, 992/17, 2002) "This book touches on a number of topics in fluid mechanics at an advanced level. ... I believe the book could be a welcome addition to the bookshelf of anyone working in theoretical fluid mechanics. It would also be a valuable supplemental text for a post-master course in fluid mechanics." (Anthony Leonard, Journal of Fluid Mechanics, Vol. 517, 2004)