Predicting pressure mode shape and phase angle using a linearized Euler equation solver
Abstract
A linearized Euler equation (LEE) solver was used to predict pressure mode shape and phase angle in an optical chamber section on the continuously variable resonance combustor (CVRC) experiment at Purdue University. The uninstrumented optical chamber section, made from quartz, is interchangeable with an instrumented carbon steel chamber section. A series of experimental tests were run on the CVRC experiment to obtain a set of data to calibrate the LEE solver. Multiple locations of heat release were added to the model and the model was calibrated for the CVRC experiment. A sensitivity analysis determined that the linearized Euler equation solver was not sensitive to changes in the solver's inputs. To provide the best match between LEE and experimental frequency, phase angle, and mode shape, an optimization analysis was run on LEE. Several methods were used in attempts to optimize LEE, but to no avail. The solution space of LEE was too multimodal to produce an optimized solution. As a result, realistic locations of heat release were chosen using high speed video taken during a CVRC test with the optical chamber installed. Average light intensity, from light filtered through a narrow band CH* filter, in the chamber was used to find five locations of heat release. These locations were used for inputs to the linearized Euler equation solver. Finally, LEE was used to predict pressure mode shape and phase angle in the optical chamber section. Adding multiple domains, calibrating LEE, and choosing realistic values for locations of heat release did not improve the match between pressure mode shape and phase angle.
Degree
M.S.A.A.
Advisors
Anderson, Purdue University.
Subject Area
Aerospace engineering
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