Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 9, Pages 1692–1703(Mi zvmmf419)
This article is cited in 3 scientific papers (total in 4 papers)
The P1 and P2 approximations of the spherical harmonic method as applied to radiative heat transfer computations with allowance for strong blowing from the surface of a vehicle moving in the Jovian atmosphere
Abstract:
The spherical harmonics method in the P1 and P2 approximations is used to analyze radiative heat transfer for a space vehicle entering a planet's atmosphere. Strong blowing of ablated materials from the vehicle surface is taken into account by using a two-layer flow model without allowance for the viscosity and thermal conduction of the gas. The heating and ablation of a multilayered thermal protection system are determined simultaneously with the vehicle's flight trajectory, which is calculated taking into account the mass loss due to the ablation. The approach is illustrated by computing the flight of a space vehicle shaped as
a spherical segment or a spherically blunted cone entering the Jovian atmosphere at a speed of 60 km/s and an entry angle of −5∘.
Citation:
V. M. Borisov, A. A. Ivankov, “The P1 and P2 approximations of the spherical harmonic method as applied to radiative heat transfer computations with allowance for strong blowing from the surface of a vehicle moving in the Jovian atmosphere”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1692–1703; Comput. Math. Math. Phys., 46:9 (2006), 1611–1622
\Bibitem{BorIva06}
\by V.~M.~Borisov, A.~A.~Ivankov
\paper The $P_1$ and $P_2$ approximations of the spherical harmonic method as applied to radiative heat transfer computations with allowance for strong blowing from the surface of a~vehicle moving in the Jovian atmosphere
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 9
\pages 1692--1703
\mathnet{http://mi.mathnet.ru/zvmmf419}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287667}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 9
\pages 1611--1622
\crossref{https://doi.org/10.1134/S0965542506090120}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748993968}
Linking options:
https://www.mathnet.ru/eng/zvmmf419
https://www.mathnet.ru/eng/zvmmf/v46/i9/p1692
This publication is cited in the following 4 articles:
Dombrovsky L.A., Dembele S., Wen J.X., Sikic I., “Two-Step Method For Radiative Transfer Calculations in a Developing Pool Fire At the Initial Stage of Its Suppression By a Water Spray”, Int. J. Heat Mass Transf., 127:B (2018), 717–726
Dombrovsky L.A., Reviznikov D.L., Sposobin A.V., “Radiative Heat Transfer From Supersonic Flow With Suspended Particles To a Blunt Body”, Int. J. Heat Mass Transf., 93 (2016), 853–861
Reviznikov D.L., Sposobin A.V., Dombrovsky L.A., “Radiative Heat Transfer From Supersonic Flow With Suspended Polydisperse Particles To a Blunt Body: Effect of Collisions Between Particles”, Comput. Therm. Sci., 7:4 (2015), 313–325
M. K. Kerimov, “In memory of professor Valerii Mikhailovich Borisov (1939–2008)”, Comput. Math. Math. Phys., 49:6 (2009), 1080–1084