Shock Wave Dynamics: Derivatives and Related Topics, 1st Edition (Hardback) book cover

Shock Wave Dynamics

Derivatives and Related Topics, 1st Edition

By George Emanuel

CRC Press

235 pages | 33 B/W Illus.

Purchasing Options:$ = USD
Hardback: 9781466564206
pub: 2012-12-18
Currently out of stock
$210.00
x
eBook (VitalSource) : 9780429099946
pub: 2012-12-18
from $28.98


FREE Standard Shipping!

Description

Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are of great practical value as examples of mathematical procedure in this field.

The book focuses on shock wave derivatives under various conditions and extensively covers shock-generated vorticity, including a novel analysis of triple points. Special care is given to the presentation of assumptions, implementation requirements, and the illustrative examples included for partial verification of the preceding analysis.

Designed both as a research monograph and for self study, Shock Wave Dynamics is a complete discussion of shock wavedynamics. An analytical exploration of shock wave phenomena, it will be interesting reading for experts in the field of high-speed gas dynamics. Giventoday's emphasis on numerical simulation, it will also be of interest to computational engineers as a source for code verification and validation.

Reviews

"…this monograph develops an esoteric niche within shock wave theory. …treats shock waves from an analytical approach assuming perfect gas. Emanuel has made significant contributions to the theory of shock waves and has selected a number of topics that reflect those contributions."

Shock Waves, 2013

Table of Contents

Introduction

General Jump Conditions

Basis Vector System and Shock Velocity

Conservation Equations

Explicit Solution

Illustrative Example

Two-Dimensional or Axisymmetric Formulation

Basis Vectors

Shock-Based Curvilinear Coordinates

Scale Factors

Application to a Two-Dimensional or Axisymmetric Shock

Transformation Equations

Basis Derivatives

Derivatives for a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream

Preliminary Remarks

Jump Conditions

Tangential Derivatives

Normal Derivatives

Derivative Applications

Normal Derivatives When the Shock Is Normal to the Upstream Velocity

Intrinsic Coordinate Derivatives

Derivatives along Characteristics

Wave Reflection from a Shock Wave

Flows with a Conical Shock Wave

Special States

Θ Derivatives

Vorticity and Its Substantial Derivative

Preliminary Remarks

Vorticity

Substantial Derivative of the Vorticity

Generic Shock Shape

Slope, Curvature, Arc Length, and Sonic Point

Results

Shock Wave Triple-Point Morphology

Preliminary Remarks

Analysis

Solution Method

Results and Discussion

Derivatives When the Upstream Flow Is Nonuniform

Preliminary Remarks

Jump Conditions

Tangential Derivatives

Normal Derivatives

Intrinsic Coordinate Derivatives

Vorticity

Source Flow Model

General Derivative Formulation

Preliminary Remarks

Vector Relations

Elliptic Paraboloid Shock

Shock Curvatures

Vorticity

Jump Conditions and Tangential Derivatives

Normal Derivatives

Applications

Unsteady, Normal Derivative Formulation

Single Mach Reflection

Appendices

Selective Nomenclature

Oblique Shock Wave Angle

Method-of-Characteristics for a Single, First-Order Partial Differential Equation

Orthogonal Basis Derivatives

Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock with a Uniform Freestream

Conditions on the Downstream Side of a Two-Dimensional or Axisymmetric Shock when the Upstream Flow Is Nonuniform

Operator Formulation

General Derivative Formulation

Uniform Freestream Formulation

Elliptic Paraboloid Shock Formulation

Global, Shock-Based Coordinates

Unsteady State 2 Parameters

Problems

References

Subject Categories

BISAC Subject Codes/Headings:
SCI041000
SCIENCE / Mechanics / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical