ABSTRACT

New Edition Now Covers Shock-Wave Analysis

An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics.

Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems.

Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes:

  • Viscous dissipation
  • The second law of thermodynamics
  • Calorically imperfect gas flows
  • Aerodynamic sweep
  • Shock-wave interference
  • Unsteady one-dimensional flow
  • Internal ballistics
  • Force and momentum balance
  • The Substitution Principle
  • Rarefaction shock waves
  • A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock
  • Shock-generated vorticity
  • Triple points
  • An extended version of the Navier‒Stokes equations
  • Shock-free supersonic diffusers
  • Lift and thrust from an asymmetric nozzle

Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.

section |61 pages

Basic Concepts

chapter 1|16 pages

Background Discussion

chapter 2|12 pages

Conservation equations

chapter 3|24 pages

Classical Thermodynamics

chapter 4|7 pages

Kinematics

section |307 pages

Advanced Gas Dynamics

chapter 5|20 pages

Euler Equations

chapter 6|32 pages

Shock Wave Dynamics

chapter 7|11 pages

Vorticity and Its Substantial Derivative

chapter 8|17 pages

Shock wave triple-point morphology

chapter 10|30 pages

General Derivative Formulation

chapter 12|24 pages

Hodograph Transformation and Limit Lines

chapter 13|15 pages

Substitution Principle

chapter 14|21 pages

Calorically Imperfect Flows

chapter 15|15 pages

Sweep

chapter 17|48 pages

Unsteady One-Dimensional Flow

chapter 18|27 pages

Supersonic Diffusers

section |57 pages

Viscous/Inviscid Fluid Dynamics

chapter 19|16 pages

Coordinate Systems and Related Topics

chapter 20|39 pages

Force and Moment Analysis

section |22 pages

Exact Solutions for a Viscous Flow

chapter 21|5 pages

Rayleigh Flow

chapter 22|6 pages

Couette Flow

chapter 23|8 pages

Stagnation Point Flow

section |115 pages

Laminar Boundary-Layer Theory for Steady Two-Dimensional or Axisymmetric Flow

chapter 24|6 pages

Incompressible Flow over a Flat Plate

chapter 25|10 pages

Large Reynolds Number Flow

chapter 26|7 pages

Incompressible boundary-layer theory

chapter 27|42 pages

Compressible boundary-layer theory

chapter 28|14 pages

Supersonic Boundary‐Layer Examples

chapter 29|33 pages

Second-order boundary-layer theory