0
Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Effects of Tailpipe Friction on the Nonlinear Dynamics of a Thermal Pulse Combustor

[+] Author and Article Information
Achintya Mukhopadhyay1

Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, Indiaamukhopadhyay@mech.jdvu.ac.in

Subhashis Datta2

Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, India

Dipankar Sanyal

Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, India

1

Corresponding author.

2

Also at the University Institute of Technology, The University of Burdwan, Burdwan, West Bengal, India.

J. Eng. Gas Turbines Power 130(1), 011507 (Jan 11, 2008) (9 pages) doi:10.1115/1.2771252 History: Received July 26, 2006; Revised April 17, 2007; Published January 11, 2008

The effect of tailpipe friction on the combustion dynamics inside a thermal pulse combustor has been investigated using a nonlinear model consisting of four coupled first order ordinary differential equations. The dynamics of the system is represented through time series plots, time-delay phase plots, and Poincaré maps. The results indicate that as the tailpipe friction factor is lowered, the system undergoes a transition from steady combustion through oscillating combustion to an intermittent combustion with chaotic characteristics before extinction. The time series data are shown to be useful indicator for early detection of extinction. In one approach (thresholding), the occurrence of local peak pressures below a predefined threshold value is identified as an event and the number of events (event count) and largest number of successive cycles with such events (event duration) are recorded as the friction factor is lowered. In another approach, the statistical moments (kurtosis) of the data are used. Number of kurtosis peaks above a prescribed value and variance of the kurtosis values are recorded for decreasing values of friction factor. All these numbers sharply increase as the system approaches extinction.

FIGURES IN THIS ARTICLE
<>
Copyright © 2008 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic of a thermal pulse combustor

Grahic Jump Location
Figure 2

Comparative study with the results of Richards (6)

Grahic Jump Location
Figure 3

Time series data for pressure at (a) f=0.03, (b) f=0.0285, (c) f=0.0275, and (d) f=0.0255

Grahic Jump Location
Figure 4

Three-dimensional time-delay phase plots at (a) f=0.03, (b) f=0.0285, (c) f=0.0275, and (d) f=0.0255

Grahic Jump Location
Figure 5

Poincaré maps for pressure at (a) f=0.03, (b) f=0.0285, (c) f=0.0275, and (d) f=0.0255

Grahic Jump Location
Figure 6

Time-delay phase plots for pressure under self-sustained oscillation (a) and (b) and forced oscillation (c) and (d)

Grahic Jump Location
Figure 7

Kurtosis of pressure data at (a) f=0.03, (b) f=0.0285, (c) f=0.0275, and (d) f=0.0255

Grahic Jump Location
Figure 8

Variation in number and duration of events based on peak threshold with friction factor

Grahic Jump Location
Figure 9

Variation in number of events and variance based on kurtosis with friction factor

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In