Mathematics – Logic
Scientific paper
Jan 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phdt.........8n&link_type=abstract
Thesis (PH.D.)--GEORGIA INSTITUTE OF TECHNOLOGY, 1993.Source: Dissertation Abstracts International, Volume: 54-08, Section: B, p
Mathematics
Logic
Pulse Combustor
Scientific paper
This study presents an analysis of a mechanically valved pulse combustor in the frequency domain. The pulse combustor is treated as a feedback system. The forward branch of the system consists of the acoustic resonator, while the feedback loop consists of the combustion heat release process and the heat loss through the pulse combustor walls. The model of the acoustic resonator is based upon an analysis of the conservation equation for the combustion chamber energy oscillations and the tail pipe acoustics. The present study utilizes a phenomenological approach to model the periodic heat release process in the combustor. The model accounts for the mixing of cold reactants with hot products, flame extinction due to high velocities during the injection time, and the kinetics of the chemical reaction. The results of this study indicate that a high periodic heat transfer must take place in the combustion zone of mechanically valved pulse combustors. The intensity of this oscillating heat transfer is an order of magnitude larger than has been observed until the present study. The results imply that the unsteady heat transfer contributes vital feedback that stabilizes the limit cycle of the pulse combustor. The study was extended to include preliminary experimental evidence for the existence of a very high wall heat losses in the combustion zone, as predicted by the model. No model of pulse combustor that fails to account for unsteady heat transfer in the combustion zone can be considered fully accurate. A calibration procedure is developed to optimize the model prediction. This calibration process is oriented to provide an accurate prediction of the important parameters; namely, the pressure level and the operating frequency, at the cost of less accuracy in predicting relatively less important parameters. The model developed in the study has been used to develop a software package application for design and analysis of pulse combustors. The use of the software for pulse combustor design is demonstrated, and a detailed listing of the software codes is included as an appendix for public use. (Abstract shortened by UMI.).
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