High frequency wave instability and combustion responses

G. Y. Lee, W. S. Yoon

Research output: Contribution to conferencePaper

Abstract

This paper is concerned with the prediction of combustion instability in liquid-propeilant rocket engine represented by the temporal variation of the amplification factors of density, velocity, and pressure. Targeting the implementation of conventional analytical and computational approaches, computed Navier-Stokes solutions initializes spatial varying spray combustion, and freshly formulated ordinary differential equations(ODE's) in terms of amplification factors are time integrated. Combining the numerically calculated spray combustion and instability prediction formulation, linear and nonlinear wave instabilities in the liquid-propeilant rocket engine is attempted. Linear formulation showed the temporal variation of pressure amplification factor independent of magnitude of pressure perturbation and the system reaching the limiting cycle. In case of nonlinear analysis, the temporal variation of pressure amplification factor depends strongly on the magnitude of pressure perturbation. When the perturbation is sufficiently small, time trace of amplification factor resembles much with that due to linear analysis and repeatedly showed the limiting cycle, whereas when stronger perturbation is enforced, the system is driven to the unstable situation in nonlinear manner. Also attempted is the attenuation of instability with the amplification factors. Instability prediction method suggested in the present study requires accurate numerics of combusting flow variables with proper interpretations of dominating amplification parameters, and this remains as a future task.

Original languageEnglish
Publication statusPublished - 2000 Dec 1
Event35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000 - Las Vegas, NV, United States
Duration: 2000 Jul 242000 Jul 28

Other

Other35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000
CountryUnited States
CityLas Vegas, NV
Period00/7/2400/7/28

Fingerprint

Amplification
Rocket engines
Liquids
Nonlinear analysis
Ordinary differential equations

All Science Journal Classification (ASJC) codes

  • Energy Engineering and Power Technology
  • Renewable Energy, Sustainability and the Environment

Cite this

Lee, G. Y., & Yoon, W. S. (2000). High frequency wave instability and combustion responses. Paper presented at 35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000, Las Vegas, NV, United States.
Lee, G. Y. ; Yoon, W. S. / High frequency wave instability and combustion responses. Paper presented at 35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000, Las Vegas, NV, United States.
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Lee, GY & Yoon, WS 2000, 'High frequency wave instability and combustion responses' Paper presented at 35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000, Las Vegas, NV, United States, 00/7/24 - 00/7/28, .

High frequency wave instability and combustion responses. / Lee, G. Y.; Yoon, W. S.

2000. Paper presented at 35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000, Las Vegas, NV, United States.

Research output: Contribution to conferencePaper

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AU - Lee, G. Y.

AU - Yoon, W. S.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - This paper is concerned with the prediction of combustion instability in liquid-propeilant rocket engine represented by the temporal variation of the amplification factors of density, velocity, and pressure. Targeting the implementation of conventional analytical and computational approaches, computed Navier-Stokes solutions initializes spatial varying spray combustion, and freshly formulated ordinary differential equations(ODE's) in terms of amplification factors are time integrated. Combining the numerically calculated spray combustion and instability prediction formulation, linear and nonlinear wave instabilities in the liquid-propeilant rocket engine is attempted. Linear formulation showed the temporal variation of pressure amplification factor independent of magnitude of pressure perturbation and the system reaching the limiting cycle. In case of nonlinear analysis, the temporal variation of pressure amplification factor depends strongly on the magnitude of pressure perturbation. When the perturbation is sufficiently small, time trace of amplification factor resembles much with that due to linear analysis and repeatedly showed the limiting cycle, whereas when stronger perturbation is enforced, the system is driven to the unstable situation in nonlinear manner. Also attempted is the attenuation of instability with the amplification factors. Instability prediction method suggested in the present study requires accurate numerics of combusting flow variables with proper interpretations of dominating amplification parameters, and this remains as a future task.

AB - This paper is concerned with the prediction of combustion instability in liquid-propeilant rocket engine represented by the temporal variation of the amplification factors of density, velocity, and pressure. Targeting the implementation of conventional analytical and computational approaches, computed Navier-Stokes solutions initializes spatial varying spray combustion, and freshly formulated ordinary differential equations(ODE's) in terms of amplification factors are time integrated. Combining the numerically calculated spray combustion and instability prediction formulation, linear and nonlinear wave instabilities in the liquid-propeilant rocket engine is attempted. Linear formulation showed the temporal variation of pressure amplification factor independent of magnitude of pressure perturbation and the system reaching the limiting cycle. In case of nonlinear analysis, the temporal variation of pressure amplification factor depends strongly on the magnitude of pressure perturbation. When the perturbation is sufficiently small, time trace of amplification factor resembles much with that due to linear analysis and repeatedly showed the limiting cycle, whereas when stronger perturbation is enforced, the system is driven to the unstable situation in nonlinear manner. Also attempted is the attenuation of instability with the amplification factors. Instability prediction method suggested in the present study requires accurate numerics of combusting flow variables with proper interpretations of dominating amplification parameters, and this remains as a future task.

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Lee GY, Yoon WS. High frequency wave instability and combustion responses. 2000. Paper presented at 35th Intersociety Energy Conversion Engineering Conference and Exhibit 2000, Las Vegas, NV, United States.