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Modeling in Combustion Science pp 207–220Cite as

Modeling of combustion of a gaseous sphere using mathematica

  • 4. Flame - Pressure Interactions
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Part of the book series: Lecture Notes in Physics ((LNP,volume 449))

Abstract

Transient combustion of a gaseous sphere of fuel is examined in the flamesheet limit. The gas is considered thermally expandable, the Lewis numbers are taken as unity and a temperature-dependent thermal diffusivity is allowed. Evaluation of some approximations used in forming the model are evaluated by examining a spherical, nonlinear thermal conduction problem first. Mathematica is used to solve the PDEs arising from both problems by a Method of Lines. The solutions for the combustion problem show the expansion and subsequent collapse of the flame-sheet trajectory, the sharp initial temperature spike at the flame front and its later diffusive spreading, and the early peaked expansion velocity, followed by a double humped velocity profile.

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References

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Author information

Authors and Affiliations

  1. National Institute of Standards and Technology, MD, Gaithersburg, USA

    R. G. Rehm & H. R. Baum

Authors
  1. R. G. Rehm
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  2. H. R. Baum
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Editor information

John Buckmaster Tadao Takeno

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© 1995 Springer-Verlag

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Rehm, R.G., Baum, H.R. (1995). Modeling of combustion of a gaseous sphere using mathematica. In: Buckmaster, J., Takeno, T. (eds) Modeling in Combustion Science. Lecture Notes in Physics, vol 449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59224-5_15

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  • DOI: https://doi.org/10.1007/3-540-59224-5_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59224-2

  • Online ISBN: 978-3-540-49226-9

  • eBook Packages: Springer Book Archive

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