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Approximate method for solving problems of ignition theory

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Abstract

A method is proposed to determine the moment of ignition of a semi-infinite massif of a condensed material exposed to an external heat flux specified as an arbitrary function of time. The method uses the fractional-differentiation formalism. For large values of the heat flux, the calculation results coincide with the results obtained using well-known methods.

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References

  1. A. G. Merzhanov and A. E. Averson, “The present state of the thermal ignition theory,” Combust. Flame, 16, 89–124 (1971).

    Article  Google Scholar 

  2. A. E. Averson, “Ignition theory,” in: A. G. Merzhanov (ed.), Heat and Mass Transfer in Combustion Processes [in Russian], Chernogolovka (1980), pp. 16–36.

  3. V. N. Vilyunov, Ignition Theory for Condensed Materials [in Russian], Nauka, Novosibirsk (1984).

    Google Scholar 

  4. R. S. Burkina and V. N. Vilyunov, Asymptotics of Problems of Combustion Theory [in Russian], Izd. Tomsk. Univ., Tomsk (1982).

    Google Scholar 

  5. R. S. Burkina, “Ignition of a porous solid by a radiation source,” Combust., Expl., Shock Waves, 31, No. 6, 627–634 (1995).

    Google Scholar 

  6. Yu. I. Babenko, Heat and Mass Transfer. A Method for Calculating Heat and Diffusion Fluxes [in Russian], Khimiya, Leningrad (1986).

    Google Scholar 

  7. D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  8. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives and Some of Their Applications [in Russian], Nauka Tekhnika, Minsk (1987).

    Google Scholar 

  9. R. R. Nigmatullin and M. Kh. Salakhov, “Regularized algorithm for calculating fractional derivatives,” Avtometriya, No. 6, 92–96 (1987).

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Translated from Fizika Goreniya i Vzryva, Vol. 42, No. 2, pp. 23–28, March–April, 2006.

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Babenko, Y.I. Approximate method for solving problems of ignition theory. Combust Explos Shock Waves 42, 144–148 (2006). https://doi.org/10.1007/s10573-006-0032-8

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  • DOI: https://doi.org/10.1007/s10573-006-0032-8

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