Introduction to Mathematical Fluid Dynamics (Dover Books on Physics)
| Author | : | |
| Rating | : | 4.95 (863 Votes) |
| Asin | : | 0486458873 |
| Format Type | : | paperback |
| Number of Pages | : | 192 Pages |
| Publish Date | : | 2013-05-02 |
| Language | : | English |
DESCRIPTION:
Better have your math on! Excellent mathematical book on fluid mechanics. Engineers and scientistis beware! Some topology required. There will not be much physical insight on fluid mechanics in this book but the mathematics is explained in gorey detail.. Peeter Joot said too abstract for learning the subject.. I bought this book because I was interested in the subject and the price was good, but as somebody who is new to the subject, I found this book very difficult to follow. The initial level of abstraction is very dense, and even after a couple of tries over the years, I've not been able to get very far.I have what I'd consider to be a decent level (engin. Two Stars For engineering students and mathematicians, i got little out of it but that's my fault not the authors.
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. Dr. Meyer writes, "This core of our knowledge co
It assumes a knowledge of calculus and vector analysis.Author Richard E. Meyer develops basic concepts from a semi-axiomatic foundation, observing that such treatment helps dispel the common impression that the entire subject is built on a quicksand of assorted intuitions. His topics include kinematics, momentum principle and ideal fluid, Newtonian fluid, fluids of small viscosity, some aspects of rotating fluids, and some effects of compressibility. Meyer notes, "This core of knowledge concerns the relation between inviscid and viscous fluids, and the bulk of this book is devoted to a discussion of that relation." Dr. Full understanding demands fluency in higher mathematics, the only language of fluid dynamics. Fluid dynamics, the behavior of liquids and gases, is a field of broad impact that encompasses aspects of physics, engineering, oceanography, and meteorology. This introductory text is geared toward