Theory of Solid-Propellant Nonsteady Combustion

Theory of Solid-Propellant Nonsteady Combustion
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Despite significant developments and widespread theoretical and practical interest in the area of Solid-Propellant Nonsteady Combustion for the last fifty years, a comprehensive and authoritative text on the subject has not been available. Theory of Solid-Propellant Nonsteady Combustion fills this gap by summarizing theoretical approaches to the problem within the framework of the Zeldovich-Novozhilov (ZN-) theory. This book contains equations governing unsteady combustion and applies them systematically to a wide range of problems of practical interest. Theory conclusions are validated, as much as possible, against available experimental data. Theory of Solid-Propellant Nonsteady Combustion provides an accurate up-to-date account and perspectives on the subject and is also accompanied by a website hosting solutions to problems in the book.

Оглавление

Vasily B. Novozhilov. Theory of Solid-Propellant Nonsteady Combustion

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Wiley‐ASME Press Series

Theory of Solid-Propellant Nonsteady Combustion

Copyright

About the Authors. Professor Boris V. Novozhilov

Professor Vasily B. Novozhilov

Preface

Important Notation and Abbreviations. Abbreviations

Mathematical Functions

Notation

Greek

Gothic

Superscripts

Subscripts

About the Companion Website

1 Steady‐state Combustion. 1.1 General Characteristics of Solid Propellants

1.2 Burning Rate and Surface Temperature

1.3 Combustion Wave Structure. Burning Temperature

1.4 Combustion in Tangential Gas Stream

1.5 Gaseous Flame

1.6 Combustion Waves in the Condensed Phase

1.7 The Two Approaches to the Theory of Nonsteady Propellant Combustion

1.8 Steady‐state Belyaev Model

2 Equations of the Theory of Nonsteady Combustion

2.1 Major Assumptions

2.2 Zeldovich Theory: Constant Surface Temperature

2.3 Variable Surface Temperature

2.4 Integral Formulation of the Theory

2.5 Theory Formulation through the Set of Ordinary Differential Equations

2.6 Linear Approximation

2.7 Formal Mathematical Justification of the Theory

3 Combustion Under Constant Pressure

3.1 Stability Criterion for a Steady‐state Combustion Regime

3.2 Asymptotical Perturbation Analysis

3.3 Two‐dimensional Combustion Stability of Gasless Systems

3.4 Combustion Beyond the Stability Region

3.5 Comparison with Experimental Data

4 Combustion Under Harmonically Oscillating Pressure

4.1 Linear Burning Rate Response to Harmonically Oscillating Pressure

4.2 Acoustic Admittance of Propellant Surface

4.3 Quadratic Response Functions

4.4 Acoustic Admittance in the Second‐order Approximation

4.5 Nonlinear Resonance

4.6 Response Function Bifurcations

4.7 Frequency–Amplitude Diagram

4.8 Comparison with Experimental Data

5 Nonsteady Erosive Combustion. 5.1 Problem Formulation

5.2 Linear Approximation

5.3 Nonlinear Effects in Nonsteady Erosive Combustion

6 Nonsteady Combustion Under External Radiation. 6.1 Steady‐state Combustion Regime

6.2 Heat Transfer Equation in the Linear Approximation

6.3 Linearization of Nonsteady Burning Laws

6.4 Steady‐state Combustion Regime Stability

6.5 Burning Rate Response to Harmonically Oscillating Pressure

6.6 Burning Rate Response to Harmonically Oscillating Radiative Flux

6.7 Relation Between Burning Rate Responses to Harmonically Oscillating Pressure and Radiative Flux

7 Nonacoustic Combustion Regimes. 7.1 Acoustic and Nonacoustic Combustion Regimes

7.2 Linear Approximation

7.3 Approximate Approach in the Theory of Nonsteady Combustion

7.4 Self‐similar Solution

7.5 Self‐similar Solution Stability

7.6 Propellant Combustion and Extinction Under Depressurization: Constant Surface Temperature

7.7 Propellant Combustion and Extinction Under Depressurization: Variable Surface Temperature

8 Modelling Nonsteady Combustion in a Solid Rocket Motor

8.1 Introduction

8.2 Nonacoustic Regimes: Problem Formulation

8.3 Stability of the Steady‐state Regime in a Semi‐enclosed Volume

8.4 Transient Regimes

8.5 Unstable and Chaotic Regimes

8.6 Experimental Data

8.7 Acoustic Regimes

8.8 Automatic Control of Propellant Combustion Stability in a Semi‐enclosed Volume

9 Influence of Gas‐phase Inertia on Nonsteady Combustion

9.1 Introduction

9.2 Steady‐state Combustion Regime Stability

9.3 Burning Rate Response to Harmonically Oscillating Pressure

9.4 Acoustic Admittance of the Propellant Surface

9.5 Combustion and Extinction Under Depressurization

9.6 tr Approximation

References

Theory of Solid‐Propellant Nonsteady Combustion. Problems

Theory of Solid‐Propellant Nonsteady Combustion. Problem Solutions

Index

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