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The Radiative–Conductive Transfer Equation in Cylinder Geometry and Its Application to Rocket Launch Exhaust Phenomena

In: Integral Methods in Science and Engineering

Author

Listed:
  • C. A. Ladeia

    (Federal University of Rio Grande do Sul)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

  • M. T. B. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

In this contribution we present a solution for the radiative conductive transfer equation in cylinder geometry. This solution is applied to simulate the radiation and temperature field together with conductive and radiative energy transport originating from the exhaust released in rocket launches. To this end we discuss a semi-analytical approach reducing the original equation, which is continuous in the angular variables, into an equation similar to the SN radiative conductive transfer problem. The solution is constructed using a composite method by Laplace transform and Adomian decomposition method. The recursive scheme is presented for the doubly discrete ordinate equation system together with parameter dependences and their influence on convergence of the solution are demonstrated. The obtained solution allows then to construct the near field from adjusting the model parameters such as emissivity, reflectivity, albedo and others to observation, that are relevant to simulate the initial condition for far field dispersion processes and may be handled independently from the present problem. In addition to the solution method we also report on some encountered solutions and resulting numerical simulations.

Suggested Citation

  • C. A. Ladeia & B. E. J. Bodmann & M. T. B. Vilhena, 2015. "The Radiative–Conductive Transfer Equation in Cylinder Geometry and Its Application to Rocket Launch Exhaust Phenomena," Springer Books, in: Christian Constanda & Andreas Kirsch (ed.), Integral Methods in Science and Engineering, edition 1, chapter 0, pages 341-351, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-16727-5_29
    DOI: 10.1007/978-3-319-16727-5_29
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