Introduction to Mathematical Fluid Dynamics

Nonfiction, Science & Nature, Science, Physics, General Physics
Cover of the book Introduction to Mathematical Fluid Dynamics by Richard E. Meyer, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Richard E. Meyer ISBN: 9780486151403
Publisher: Dover Publications Publication: March 9, 2012
Imprint: Dover Publications Language: English
Author: Richard E. Meyer
ISBN: 9780486151403
Publisher: Dover Publications
Publication: March 9, 2012
Imprint: Dover Publications
Language: English

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."

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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."

More books from Dover Publications

Cover of the book Halloween by Richard E. Meyer
Cover of the book White Nights and Other Stories by Richard E. Meyer
Cover of the book Leonardo on Art and the Artist by Richard E. Meyer
Cover of the book The Adventures of Jimmy Skunk by Richard E. Meyer
Cover of the book Maggie: A Girl of the Streets by Richard E. Meyer
Cover of the book The Possum That Didn't by Richard E. Meyer
Cover of the book The Sea and the Jungle by Richard E. Meyer
Cover of the book Make in a Day: Crafts for Kids by Richard E. Meyer
Cover of the book De Magnete by Richard E. Meyer
Cover of the book Lectures on Architecture, Volume I by Richard E. Meyer
Cover of the book One Hundred Figure Drawings by Richard E. Meyer
Cover of the book Life and Liszt: The Recollections of a Concert Pianist by Richard E. Meyer
Cover of the book Introduction to Graph Theory by Richard E. Meyer
Cover of the book The Blue Fairy Book by Richard E. Meyer
Cover of the book Biddle's Young Carpenter's Assistant by Richard E. Meyer
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy