Slow Viscous Flow

This major new edition of a classic text in fluid mechanics incorporates 50 years of progress and innovation, with authoritative material on nanotechnology and hydrommagnetic effects alongside extended coverage of basic principles and viscous flow equations.

Leonardo wrote, Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics; replace Mechanics by Fluid mechanics and here we are.- From the Preface to the Second EditionAlthough the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena.Much progress has occurred in the half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen to importance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagnetic effects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate these phenomena into the theory.The book originally described by Prof. Langlois as "a monograph on theoretical hydrodynamics, written in the language of applied mathematics" offers much new coverage including the second principle of thermodynamics, the Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets, finite element methods, Wannier flow, corner eddies, and analysis of the Stokes operator.

New edition of a classic text, incorporating nearly 50 years of progress and innovation since the first edition Teaches the basic principles of fluid mechanics and solves fluid flow problems where viscous effects are the dominant physical phenomena Updated and expanded coverage of topics relevant to nanotechnology and thin film hydrodynamics, hydromagnetic effects, radiative heat transfer and more The basic equations of fluid dynamics are developed in more detail than in other texts A variety of fluid flow problems are treated in a way that supplements the existing literature Includes supplementary material: sn.pub/extras

Inhalt

Cartesian Tensors.- The Equations of Viscous Flow.- Curvilinear Coordinates.- Exact Solutions to the Equations of Viscous Flow.- Pipe Flow.- Flow Past a Sphere.- Plane Flow.- Rotary Flow.- Lubrication Theory.- Introduction to the Finite Element Method.- Variational Principle, Weak Formulation and Finite Elements.- Stokes Ow and Corner Eddies.- References.- Index.