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Transport Phenomena in Thermal Engineering. Volume 2

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F. El Ammouri
Laboratoire EM2C, UPR288 du CNRS et de L'ECP, Ecole Centrale Paris, 92295 Chatenay-Malabry Cedex, FRANCE

Anouar Soufiani
Laboratoire EM2C, CNRS, CentraleSupelec, Universite Paris Saclay, 3 rue Joliot Curie, 91192 Gif-sur-Yvette Cedex, France

Jean Taine
Laboratoire d'Energetique Moleculaire et Macroscopique, Combustion, UPR 288 du CNRS et de l'ECP. Ecole Centrale Paris, 92295 Chatenay-Malabry Cedex, France


The effects of gas radiation on film cooling in turbulent nonisothermal and nonuniform pure gases is studied and applied to a 2D channel geometry. The cooled wall temperature results from coupled conduction, radiation, turbulent convection and mass transfer. A random statistical narrow-band (RSNB) model associated with the Curtis-Godson approximation is used for gas radiative properties. A second order Taylor expansion of local blackbody intensity is carried out in order to obtain the expression of time averaged intensity as a function of the mean temperature and its variance. A six supplementary equation model is developed. The turbulent transported quantities are the kinetic energy, temperature variance, mass fraction variance and their respective dissipation rates. The increase in the cooled wall temperature due to gas radiation is studied in two representative industrial applications. It is shown that gas temperature fluctuations increase significantly radiative fluxes especially at moderate mean temperature levels. Finally, the distance over which the film remains efficient is not affected by radiative transfer.