Incompressible Flow

This updated and revised edition of Dr. Ronald L. Panton's Incompressible Flow provides readers with an exceptionally clear, unified, and carefully paced introduction to advanced concepts in fluid mechanics. Dubbed by one reviewer as "the most teachable book on the market," it begins with basic principles and then patiently develops the math and physics leading to the major theories. Throughout, a unified presentation of physics, mathematics, and engineering applications is achieved, and the text is liberally supplemented with helpful exercises and example problems.

Laying the foundation for a thorough understanding of incompressible flow, Dr. Panton devotes the first third of the book to a precise formulation of the physical concepts and mathematical equations governing compressible viscous flows of Newtonian fluids. This part of the book includes chapters on the thermodynamics of simple materials and the mathematics of vector and tensor analysis.

The book's coverage of stream functions and the velocity potential features special approaches in which stream functions can be extended to other coordinate systems. Dr. Panton also emphasizes the physical interpretation of vorticity dynamics by deftly combining vorticity, associated controlling processes, and the laws that govern them.

Subsequent, more detailed coverage of incompressible flow is organized into the various Reynolds number regimes. The discussion of moderate Reynolds number flows introduces a finite difference numerical technique and reviews classic results for flow over a cylinder, including results from large eddy simulations. High Reynolds number flows- that is, inviscid flows and boundary layers- are given a unified treatment over the course of several chapters so as to emphasize their interconnection. The chapter on low Reynolds number flows emphasizes the different singular natures of two- and three-dimensional external flows and reviews a number of recent results concerning internal flows. Dr. Panton concludes by introducing students to the nomenclature and contemporary concepts used in stability, transition, and turbulence- fields in which recent progress has occurred.

Incompressible Flow, Second Edition is the ideal choice for graduate-level fluid mechanics courses offered in mechanical, aerospace, and chemical engineering programs.

Table of Contents:
Partial table of contents:
Continuum Mechanics.
Thermodynamics.
Vector Calculus and Index Notation.
Kinematics of Local Fluid Motion.
Basic Laws.
Some Incompressible-Flow Patterns.
Dimensional Analysis.
Compressible Flow.
Incompressible Flow.
Streamfunctions and the Velocity Potential.
Vorticity Dynamics.
Flows at Moderate Reynolds Numbers.
Asymptotic Analysis Methods.
Kinematic Decomposition of Flow Fields.
Ideal Flows in a Plane.
Boundary Layers.
Low Reynolds Number Flows.
Introduction to Stability and Transition.
Introduction to Turbulent Flows.
Appendices.
Supplemental Reading List.
References.
Index.