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.
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..
Dr.
Some Effects of Compressibility: Thermodynamics, Waves, Shock relations and structure, Navier-Stokes equations.
Some Aspects of Rotating Fluids: Rossby number, Ekman layer, Taylor-Proudman Blocking.
Fluids of Small Viscosity: Singular Perturbation, Boundary Layers.
Newtonian Fluid: Constitutive and Kinetic theories, exact solutions.
Momentum Principle and Ideal Fluid: Conservation examples, Euler equations, D\'Alembert\'s and Kelvin\'s theorems.
Contents include: Kinematics: Lagrangian and Eulerian descriptions, Circulation and Vorticity.
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.
A knowledge of calculus and vector analysis is presupposed.
Richard Meyer\'s work is indeed introductory, while written for advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences.
Dr.
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
