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International Heat Transfer Conference 15

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

Radiative Heat Transfer Modeling in Supersonic Gas Flow with Suspended Particles to a Blunt Body

Leonid A. Dombrovsky
Joint Institute for High Temperatures, 17A Krasnokazarmennaya Str., Moscow, 111116, Russia; Tyumen State University, 6 Volodarsky Str., Tyumen, 625003, Russia

Dmitry L. Reviznikov
Moscow Aviation Institute, Volokolamskoe Shosse 4, 125993 Moscow, Russia; Dorodnicyn Computing Centre, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, 44, b. 2, Vavilov st., Moscow, 119333, Russia

DOI: 10.1615/IHTC15.rad.008214
pages 7051-7065

KEY WORDS: Radiation, Photon, phonon and electron transport, Computational methods, Supersonic flow, Blunt body, Particles


A set of approximate models based on transport approximation for the scattering phase function for radiative heat transfer between a supersonic flow with suspended particles and a blunt body are examined. The particle laden flow is calculated by taking into account both dynamic and temperature non-equilibrium of micron-sized particles suspended in the carrier and also collisions of particles with the body surface. The P1 approximation for the radiative transfer is compared with a two-step solution which employs the P1 to calculate the source function and subsequent ray-tracing procedure to solve the radiative transfer equation. Spectral calculations for thermal radiation in the flow with particles around spherical body showed that the integral (over the spectrum) radiative flux to the front side of a blunt body can be determined sufficiently accurate using the P1 without the second step of solution in the case of a relatively small contribution of radiation emitted from the body surface. Moreover, good estimates of the radiative flux to the front hemisphere can be obtained on the basis of an additional simplification when a set of local l-D solutions are used instead of 2-D calculations. This leads to significant savings in computational time which is important for conjugated problems with thermal destruction and possible ablation of the material. On the contrary, the P1 error in radiative flux appears to be too large in the case of a hot body surface. The two-step iterative procedure is recommended for the radiative transfer calculations in this case. The calculations of a local equilibrium temperature of the body surface show that radiation scattering by particles may lead to a very significant increase in this temperature.

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