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Thermal Radiation Effect on Thermal Explosion in a Gas Containing Evaporating Fuel Droplets.

  • Conference paper
Progress in Industrial Mathematics at ECMI 2004

Part of the book series: Mathematics in Industry ((TECMI,volume 8))

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Summary

Thermal explosion of diesel fuel droplets in the presence of thermal radiation is studied. The process is presented in terms of the dynamics of a multi-scale and singularly perturbed system, which is analyzed using the geometrical version of the Method of Integral Manifolds. Analytical estimates of the total ignition delay times in two limiting cases are obtained. The influence of the thermal radiation on the heat transfer and ignition delay time are clarified.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, Israel

    I. Goldfarb, V. Gol’dshtein & D. Katz

  2. School of Engineering, Faculty of Science and Engineering, The University of Brighton, UK

    S. Sazhin

Authors
  1. I. Goldfarb
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  2. V. Gol’dshtein
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  3. D. Katz
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  4. S. Sazhin
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands

    A. Di Bucchianico , R.M.M. Mattheij  & M.A. Peletier ,  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Goldfarb, I., Gol’dshtein, V., Katz, D., Sazhin, S. (2006). Thermal Radiation Effect on Thermal Explosion in a Gas Containing Evaporating Fuel Droplets.. In: Di Bucchianico, A., Mattheij, R., Peletier, M. (eds) Progress in Industrial Mathematics at ECMI 2004. Mathematics in Industry, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28073-1_35

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