0
TECHNICAL PAPERS: Fuels and Combustion Technology

A Mathematical Model for Schlieren and Shadowgraph Images of Transient Expanding Spherical Thin Flames

[+] Author and Article Information
Farzan Parsinejad, Matyas Matlo, Mohamad Metghalchi

Mechanical, Industrial and Manufacturing Engineering Department, Northeastern University, 334 Snell Engineering Center, Boston, MA 02115

J. Eng. Gas Turbines Power 126(2), 241-247 (Jun 07, 2004) (7 pages) doi:10.1115/1.1688368 History: Received November 01, 2001; Revised July 01, 2002; Online June 07, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Meyer-Arendt, ed., 1992, Selected Papers on Schlieren Optics, Optical Engineering Press.
Marton, L. C., 1981, Methods of Experimental Physics, Part A, Academic Press, San Diego, 18 , pp. 355–360.
Settles, G. S., 2001, Schlieren and Shadowgraph Techniques: Visualizing Phenomena in Transparent Media, Springer-Verlag, New York.
Weinberg, F. J., 1963, Optics of Flames, Butterworths, Washington, DC.
Wood, Robert, 1936, Physical Optics, Macmillan, New York, pp. 80–87.
Durox,  D., and Ducruix,  S., 2000, “Concerning the Location of the Schlieren Limit in Premixed Flame,” Combust. Flame, 120, pp. 595–598.
Tse,  S. D., Zhu,  D. L., and Law,  C. K., 2000, “Morphology and Burning Rates of Expanding Spherical Flames in H2/O2/Inert Mixtures up to 60 Atmospheres,” Proceedings of the Combustion Institute,28, pp. 1793–1800.
Rozenchan, G., Tse, S. D., Zhu, D. L., and Law, C. K., 2001, “Laminar Burning Rates and Markstein Lengths of CH4/O2/Inert Mixtures at High Pressures,” American Institute of Aeronautics and Astronautics 39th Aerospace Science Meeting and Exhibit, Reno, NV.
Aung,  K. T., Hassan,  M. L., and Faeth,  G. M., 1997, “Flame Stretch Parameters of Laminar Premixed Hydrogen/Air Flames at Normal Temperature and Pressure,” Combust. Flame, 109, pp. 1–24.
Rahim, F., and Metghalchi, M., 2001, “Burning Velocity for Spherical Flames in Cylindrical and Spherical Chambers,” Eastern States Combustion Institute, Hilton Head, Dec. 2–5, pp. 412–415.
Metghalchi,  M., and Keck,  J. C., 1982, “Burning Velocities of Mixtures of Air With Methanol, Isooctane and Indolence at High Pressure and Temperature,” Combust. Flame, 48, pp. 191–210.
Metghalchi,  M., and Keck,  J. C., 1980, “Laminar Burning Velocity of Propane-Air Mixtures at High Temperature and Pressure,” Combust. Flame, 38, pp. 143–154.
Elia,  M., Ulinski,  M., and Metghalchi,  M., 2001, “Laminar Burning Velocity of Methane-Air-Diluent Mixtures,” ASME J. Eng. Gas Turbines Power, 123, pp. 190–196.
Rahim, F., and Metghalchi, M., 2002, “Development of Reaction Mechanism and Measurement of Burning Speeds of Methane/Oxidizer/Diluent Mixtures at Low Temperatures and High Pressures,” Combustion Institute, Western States Section, San Diego, CA.
Rahim,  F., Elia,  M., Ulinski,  M., and Metghalchi,  M., 2002, “Burning Velocity Measurements of Methane-Oxygen-Argon Mixtures and an Application to Extend Methane-Air Burning Velocity Measurements,” Int. J. Engine Res.,3(2), pp. 81–92.
Weinberg,  F. J., 1955, “Location of the Schlieren Image in a Flame,” Fuel, 34, pp. S84–S88.
Bradley,  D., Hicks,  R. A., Lawes,  M., Sheppard,  C. G. W., and Woolley,  R., 1998, “The Measurement of Laminar Burning Velocities and Markstein Numbers for Iso-Octane-Air and n-Heptane-Air Mixtures at Elevated Temperatures and Pressures in an Explosion Bomb,” Combust. Flame, 115, pp. 126–144.

Figures

Grahic Jump Location
Schematic diagram of optical system, 1
Grahic Jump Location
Ray tracing of refraction through a spherical flame
Grahic Jump Location
The scattering angle χ as a function of impact parameter (b/R)
Grahic Jump Location
The scattering angle χ as a function of impact parameter (b/R) close to the critical point
Grahic Jump Location
The deflection of light ray passing through a spherical flame with total displacement y,1
Grahic Jump Location
The deflection of light ray passing through a spherical flame when y>R,1
Grahic Jump Location
Shadowgraph relative intensity versus normalized y/R
Grahic Jump Location
Ray tracing of Schlieren system, 1
Grahic Jump Location
Scattering angle and the portion of rays, which by passes the knife edge for Schlieren system
Grahic Jump Location
Intensity of Schlieren image versus normalized displacement y/R
Grahic Jump Location
Shadowgraph image of methane/air flame 10 ms after ignition
Grahic Jump Location
Schlieren image of methane/air flame 30 ms. after ignition
Grahic Jump Location
Shadowgraph chronology of methane/air flame turning into cellular flame

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