Introduction to Mathematical Fluid Dynamics

Richard E Meyer

ISBN 10: 0486615545 / ISBN 13: 9780486615547

Verlag: Dover Publications Dez 2010, 2010

Beschreibung

Neuware - 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.'. Bestandsnummer des Verkäufers 9780486615547

Bibliografische Details

Titel: Introduction to Mathematical Fluid Dynamics

Verlag: Dover Publications Dez 2010

Erscheinungsdatum: 2010

Einband: Taschenbuch

Zustand: Neu

Über diesen Titel

Inhaltsangabe:

An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

Von der hinteren Coverseite:

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."