Investigation Of Nonlinear Combustion Instability In Solid Propellant Rocket Motors By Approximate Analytical Techniques PDF Download

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Approximate Nonlinear Analysis of Solid Rocket Motors and T-Burners. Volume I. Analysis and Results

Approximate Nonlinear Analysis of Solid Rocket Motors and T-Burners. Volume I. Analysis and Results
Author: E. A. Powell
Publisher:
Total Pages: 209
Release: 1977
Genre:
ISBN:

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An approximate theory based on the Galerkin method was developed to describe the nonlinear behavior of axial-mode combustion instability in solid-propellant rocket motors and T-burners. For motors with linear combustion driving and linear particle damping (gasdynamic nonlinearities only), growth rates, limiting amplitudes and waveforms were in reasonable agreement with available 'exact' numerical solutions and experimental data. For T-burners the predicted limiting amplitudes were considerably higher than the experimentally measured values. To assess the importance of combustion nonlinearities, a heuristic nonlinear combustion response model was introduced into the approximate analysis. REsults obtained with both the approximate model and the 'exact' analysis showed that nonlinear combustion effects may be important for moderate amplitudes and may account for pulsed instabilities in some cases. The higher Reynolds number correction to the Stokes Drag Law was also included in both the approximate and 'exact' analyses. Results show that nonlinear particle effects become increasingly important as particle size and/or frequency increases. Also, particle nonlinearities may have a significant effect on optimum particle size for maximum damping and may account for pulsed instabilities in some cases. (Author).


Modeling of Nonlinear Combustion Instability in Solid Propellant Rocket Motors

Modeling of Nonlinear Combustion Instability in Solid Propellant Rocket Motors
Author: Joseph D. Baum
Publisher:
Total Pages: 299
Release: 1984
Genre:
ISBN:

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The investigation sought to further our understanding of the physical mechanisms which control the initiation and severity of nonlinear combustion instability in solid propellant rocket motors. It was directed towards understanding those mechanisms which influence the triggering of instabilities.


Nonlinear Combustion Instability in Solid Rocket Motors: A Numerical Study of Longitudinal Oscillations with Pressure and Velocity Coupling

Nonlinear Combustion Instability in Solid Rocket Motors: A Numerical Study of Longitudinal Oscillations with Pressure and Velocity Coupling
Author: Joseph D. Baum
Publisher:
Total Pages: 45
Release: 1982
Genre:
ISBN:

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An existing nonlinear instability model has been extended and improved to allow it to more realistically treat the longitudinal shock wave type of combustion instability frequently encountered in tactical solid rocket motors. Results obtained utilizing this model to investigate limiting amplitude and velocity coupling phenomena in solid rocket motors are presented. An advanced finite difference integration technique capable of accurately describing shocks and contact discontinuities has been incorporated into the computer program, as well as an improved heat conduction solution, an heuristic velocity coupling model, and a spectral analysis capability. Solutions of wave propagation and shock formation and propagation in a variable area duct and a solid propellant rocket motor are presented; as are a number of solutions demonstrating that limiting amplitude is independent of the characteristics of the initial disturbance. Results of a preliminary study of nonlinear velocity modulated limit cycles are presented, as are results that demonstrate the primarily traveling wave nature of nonlinear wave propagation in solid rocket motors, and the complexity of the phase relationships between pressure, burning rate, and velocity oscillations are presented. Finally, the effect of a threshold velocity on non-linear velocity coupled instability was explored, and some of the results are also presented. (Author).


Numerical Investigation of Nonlinear Axial Instabilities in Solid Rocket Motors

Numerical Investigation of Nonlinear Axial Instabilities in Solid Rocket Motors
Author: D. E. Kooker
Publisher:
Total Pages: 183
Release: 1974
Genre:
ISBN:

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Nonlinear axial-mode combustion instability remains a serious problem in the development of solid propellant rocket motors. Although the use of metal-loaded solid propellants which produce solid particles in the flow has reduced the occurrence of high frequency instabilities, it has not eliminated the axial-mode intermediate frequency (100 - 1000 Hz.) problem. If such an instability reaches a large amplitude limit cycle, it may lead to an increase in mean chamber pressure and burning rate, excessive heat transfer rates, and a severe vibration level. The objective of this report is to investigate the complex coupling between the chamber flow conditions and the solid propellant combustion process which may lead to large amplitude longitudinal instabilities. (Modified author abstract).


Liquid Rocket Engine Combustion Instability

Liquid Rocket Engine Combustion Instability
Author: Vigor Young
Publisher: AIAA
Total Pages: 606
Release: 1995
Genre: Liquid propellant rockets
ISBN: 9781600864186

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Annotation Since the invention of the V-2 rocket during World War II, combustion instabilities have been recognized as one of the most difficult problems in the development of liquid propellant rocket engines. This book is the first published in the United States on the subject since NASA's Liquid Rocket Combustion Instability (NASA SP-194) in 1972. In this book, experts cover four major subject areas: engine phenomenology and case studies, fundamental mechanisms of combustion instability, combustion instability analysis, and engine and component testing. Especially noteworthy is the inclusion of technical information from Russia and China--a first.


Numerical Analysis of Nonlinear Longitudinal Combustion Instability in Metalized Propellant Solid Rocket Motors. Volume I. Analysis and Results

Numerical Analysis of Nonlinear Longitudinal Combustion Instability in Metalized Propellant Solid Rocket Motors. Volume I. Analysis and Results
Author:
Publisher:
Total Pages: 191
Release: 1972
Genre:
ISBN:

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The present report is part of a two volume set which describes a nonlinear solid rocket motor instability analysis and computer program. The primary objective of the current effort was the development and solution of a nonlinear analytical longitudinal instability model, which would allow all of the various governing phenomena to be accounted for in a coupled manner. The two primary elements of the current instability analysis are a method of characteristics solution of the two phase flow in the combustion chamber of the motor, and a coupled calculation of a transient burning rate. It is based on an extension of the most popular, linear, harmonic combustion response model. The current method allows the calculation of propellant burning response to a pressure disturbance of arbitrary waveform, for all time, including the period immediately following the initiation of the disturbance. The analysis also includes a model for velocity coupled response. The nonlinear effects of velocity coupling on the growth of pressure waves in a combustion chamber can be computed.


Approximate Nonlinear Analysis of Solid Rocket Motors and T-Burners. Volume II. Computer Program Users's Manual

Approximate Nonlinear Analysis of Solid Rocket Motors and T-Burners. Volume II. Computer Program Users's Manual
Author: E. A. Powell
Publisher:
Total Pages: 361
Release: 1977
Genre:
ISBN:

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Volume II of this report is a user's manual for the computer programs based on the approximate and 'exact' nonlinear axial-mode combustion instability analyses developed in Volume I. This volume contains a description of all the main programs and subroutines used in these instability programs, as well as descriptions of the inputs needed to operate the programs and the outputs generated. Sample cases are given to facilitate checkout of the programs. The FORTRAN IV source code for each of the programs is also given. (Author).