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 Lettering by Richard E. Meyer
Cover of the book Introduction to Partial Differential Equations by Richard E. Meyer
Cover of the book Essential English Grammar by Richard E. Meyer
Cover of the book Modern Mathematics for the Engineer: First Series by Richard E. Meyer
Cover of the book Illuminated Initials in Full Color by Richard E. Meyer
Cover of the book Six-Gun in Cheek by Richard E. Meyer
Cover of the book Landmark Decisions of the U.S. Supreme Court by Richard E. Meyer
Cover of the book The Road to Oz by Richard E. Meyer
Cover of the book A Middle English Reader and Vocabulary by Richard E. Meyer
Cover of the book Ole Miss Juvenilia by Richard E. Meyer
Cover of the book The Physiology of Taste by Richard E. Meyer
Cover of the book Introduction to Stereochemistry by Richard E. Meyer
Cover of the book Fathers and Sons by Richard E. Meyer
Cover of the book A Scientist at the Seashore by Richard E. Meyer
Cover of the book A Child's Book of Myths 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