Analytical Fluid Dynamics, Third Edition
Productivity Press (Verlag)
978-1-4987-1569-0 (ISBN)
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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.
George Emanuel earned his PhD in aeronautical sciences from Stanford University, California. Subsequently, he was employed at the Aerospace Corp., TRW, and Los Alamos National Laboratory as a research engineer. He spent 19 years as a professor in the School of Aerospace and Mechanical Engineering at the University of Oklahoma. He is the author of numerous books that include Analytical Fluid Dynamics, Second Edition, Solution of Ordinary Differential Equations by Continuous Groups, and Shock Wave Dynamics (CRC Press). He is also the author of four chapters in three handbooks and the author or coauthor of more than 100 peer-reviewed articles.
BASIC CONCEPTS
Background Discussion
Preliminary Remarks
Euler and Lagrange Formulations
Stress Tensor
Relation between Stress and Deformation-Rate Tensors
Constitutive Relations
Problems
References
Conservation Equations
Preliminary Remarks
Mass Equation
Transport Theorem
Linear Momentum Equation
Inertial Frame
Angular Momentum Equation
Energy Equation
Viscous Dissipation
Alternate Forms for the Energy Equation
Problems
Reference
Classical Thermodynamics
Preliminary Remarks
Combined First and Second Laws
Potential Functions
Open System
Coupling to Fluid Dynamics
Compressible Liquid or Solid
Second Law
Rarefaction Shock Wave
Problems
References
Kinematics
Preliminary Remarks
Definitions
Kelvin’s Equation and Vorticity
Helmholtz Vortex Theorems
Problems
Reference
ADVANCED GAS DYNAMICS
Euler Equations
Preliminary Remarks
Equations: Initial and Boundary Conditions
Bernoulli’s Equations
Vorticity
Steady Flow
Intrinsic Coordinates
Problems
References
Shock-Wave Dynamics
Preliminary Remarks
Jump Conditions
Steady, Two-Dimensional or Axisymmetric Flow
Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream
Derivative Applications
Problems
References
Vorticity and Its Substantial Derivative
Preliminary Remarks
Vorticity
Substantial Derivative of the Vorticity
Generic Shock Shape
Slope, Curvature, Arc Length, and Sonic Point
Results
Problems
References
Shock-Wave Triple-Point Morphology
Preliminary Remarks
Analysis
Solution Method
Normal Mach Stem or Reflected Shocks
Results and Discussion
Problems
References
Derivatives When the Upstream Flow Is Nonuniform
Preliminary Remarks
Jump Conditions
Tangential Derivatives
Normal Derivatives
Intrinsic Coordinate Derivatives
Vorticity
Source Flow Model
Problems
Reference
General Derivative Formulation
Preliminary Remarks
Vector Relations
Elliptic Paraboloid Shock
Shock Curvatures
Vorticity I
Jump Conditions and Tangential Derivatives
Normal Derivatives
Applications
Unsteady, Normal Derivative Formulation
SMR and Ray Scaling
Unsteady Intrinsic Coordinate Derivatives
Vorticity II
Problems
References
Extended Navier–Stokes Equations, Ultrasonic Absorption, and Shock Structure
Preliminary Remarks
Newtonian and Stokesian Fluids
Viscous Dissipation
Laminar Flow
Unsteady One-Dimensional Flow
Shock-Wave Structure
Problems
References
Hodograph Transformation and Limit Lines
Preliminary Remarks
Two-Dimensional, Irrotational Flow
Ringleb’s Solution
Limit Lines
General Solution
Rotational Flow
Problems
References
Substitution Principle
Preliminary Remarks
Transformation Equations
Parallel Flow
Prandtl–Meyer Flow
Rotational Solutions in the Hodograph Plane
Problems
References
Calorically Imperfect Flows
Preliminary Remarks
Thermodynamics
Isentropic Streamtube Flow
Planar Shock Flow
Prandtl–Meyer Flow
Taylor–Maccoll Flow
Problems
References
Sweep
Preliminary Remarks
Oblique Shock Flow
Prandtl-Meyer Flow
Problems
References
Interaction of an Expansion Wave with a Shock Wave and a Shock-Wave Curvature
Preliminary Remarks
Flow Topology
Solution for Regions I, II, and III
Curvature Singularity
Numerical Procedure
Shock Wave with Longitudinal Curvature Sign Change
Problems
References
Unsteady, One-Dimensional Flow
Preliminary Remarks
Incident Normal Shock Waves
Reflected Normal Shock Waves
Characteristic Theory
Rarefaction Waves
Compression Waves
Internal Ballistics
Nonsimple Wave Region
Problems
References
Supersonic Diffusers
Preliminary Remarks
General Discussion
Prandtl-Meyer Diffuser
Lens-Analogy Diffuser
Results and Discussion
Problems
References
VISCOUS/INVISCID FLUID DYNAMICS
Coordinate Systems and Related Topics
Preliminary Remarks
Orthogonal Coordinates
Similarity Parameters
Bulk Viscosity
Viscous Flow in a Heated Duct
Problems
References
Force and Moment Analysis
Preliminary Remarks
Momentum Theorem
Surface Integral
Angular Momentum
Hydrostatics
Flow in a Duct
Acyclic Motion
Jet–Plate Interaction
Syringe with a Hypodermic Needle
Shock-Expansion Theory
Forces on a Particle
Entropy Generation
Forces and Moments on a Supersonic Vehicle
Lift and Thrust of an Asymmetric Nozzle
Problems
References
EXACT SOLUTIONS FOR A VISCOUS FLOW
Rayleigh Flow
Preliminary Remarks
Solution
Problems
References
Couette Flow
Preliminary Remarks
Solution
Adiabatic Wall
Problems
Reference
Stagnation Point Flow
Preliminary Remarks
Formulation
Velocity Solution
Temperature Solution
Problems
Reference
LAMINAR BOUNDARY-LAYER THEORY FOR STEADY TWO-DIMENSIONAL OR AXISYMMETRIC FLOW
Incompressible Flow over a Flat Plate
Preliminary Remarks
Derivation of the Boundary-Layer Equations
Similarity Solution
Problems
References
Large Reynolds Number Flow
Preliminary Remarks
Matched Asymptotic Expansions
Problems
References
Incompressible Boundary-Layer Theory
Preliminary Remarks
Primitive Variable Formulation
Solution of the Boundary-Layer Equations
Problems
References
Compressible Boundary-Layer Theory
Preliminary Remarks
Boundary-Layer Equations
Solution of the Similarity Equations
Solution of the Energy Equation
The ß and gw Parameters
Local Similarity
Boundary-Layer Parameters
Comprehensive Tables
Adiabatic Wall
Critique of the Prandtl Number and Chapman–Rubesin Parameter Assumptions
Nonsimilar Boundary Layers: I
Nonsimilar Boundary Layers: II
Problems
References
Supersonic Boundary-Layer Examples
Preliminary Remarks
Thin Airfoil Theory
Compressive Ramp
Zero Displacement Thickness Wall Shape
Performance of a Scramjet Propulsion Nozzle
Problems
References
Second-Order Boundary-Layer Theory
Preliminary Remarks
Inner Equations
Outer Equations
Boundary and Matching Conditions
Decomposition of the Second-Order Boundary-Layer Equations
Example: First-Order Solution
Example: Second-Order Outer Solution
Example: Second-Order Inner Equations
Appendix R
Problems
References
Appendices
| Zusatzinfo | 18310 Equations; 48 Tables, black and white; 240 Illustrations, black and white |
|---|---|
| Verlagsort | Portland |
| Sprache | englisch |
| Maße | 216 x 279 mm |
| Gewicht | 1656 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik |
| Technik ► Umwelttechnik / Biotechnologie | |
| ISBN-10 | 1-4987-1569-9 / 1498715699 |
| ISBN-13 | 978-1-4987-1569-0 / 9781498715690 |
| Zustand | Neuware |
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