Richard E Meyer

Introduction to Mathematical Fluid Dynamics

• Broschiertes Buch

Produktbeschreibung

Fluid dynamics, the behavior of liquids and gases, is a field of broad impact--in physics, engineering, oceanography, and meteorology for example--yet full understanding demands fluency in higher mathematics, the only language fluid dynamics speaks. Dr. Richard Meyer's work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences. A knowledge of calculus and vector analysis is presupposed. The author develops basic concepts from a semi-axiomatic foundation, noting that "for mathematics students such a treatment helps to dispel the all too common impression that the whole subject is built on a quicksand of assorted intuitions." Contents include: Kinematics: Lagrangian and Eulerian descriptions, Circulation and Vorticity. Momentum Principle and Ideal Fluid: Conservation examples, Euler equations, D'Alembert's and Kelvin's theorems. Newtonian Fluid: Constitutive and Kinetic theories, exact solutions. Fluids of Small Viscosity: Singular Perturbation, Boundary Layers. Some Aspects of Rotating Fluids: Rossby number, Ekman layer, Taylor-Proudman Blocking. Some Effects of Compressibility: Thermodynamics, Waves, Shock relations and structure, Navier-Stokes equations. Dr. Meyer writes, "This core of our knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation."

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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 190
• Erscheinungstermin: 22. Dezember 2010
• Englisch
• Abmessung: 214mm x 137mm x 11mm
• Gewicht: 218g
• ISBN-13: 9780486615547
• ISBN-10: 0486615545
• Artikelnr.: 21365721

Inhaltsangabe

Preface Acknowlegments 1 Kinematics 1 Introduction 2 Lagrangian description
3 Eulerian description 4 Conservation of mass 5 Circulation 6 Some
potential flows 7 Vorticity 8 Line vortex 9 Vortex sheet 2 Momentum
Principle and Ideal Fluid 10 Conservation of linear momentum 11 Mixing and
lift 12 Equations of motion 13 D'Alembert's theorem 14 Kelvin's theorem 15
Conservation of angular momentum 3 Newtonian Fluid 16 The Couette
experiment 17 Constitutive equation 18 Kinetic theory 19 Some viscous fluid
motions 4 Fluids of Small Viscosity 20 Reynolds number 21 A singular
perturbation example 22 Limit equations for the flat plate 23 Discussion of
Blasius' solution 24 Limit equations with pressure gradient and wall
curvature 25 Similarity solutions 26 Momentum integral 27 Separation 28
Wake 5 Some Aspects of Rotating Fluids 29 Bjerknes' theorem 30 Rossby
number 31 Ekman layer 32 Taylor-Proudman theorem 6 Some Effects of
Compressibility 33 Thermodynamic state 34 Flow initiation 35 Conservation
of energy 36 Shock relations 37 Shock structure 38 Navier-Stokes equations
Bibliography Index