UDC 621.039.51

M. Cherkaoui , M. Asbik , and A. Khmou

CALCULATION OF RADIATIVE TRANSFER IN NONGRAY GAS USING 
A NARROW-BAND MODEL AND MONTE CARLO SIMULATION

Radiation transfer is treated by the application of 
a narrow-band statistical model (NBSM) that takes emission 
and absorption gas spectral structures into account. A Monte 
Carlo method (MCM) using a net exchange technique was developed 
to integrate the radiative-transfer equation in nongray gas. 
The proposed procedure is based on a net-exchange formulation 
(NEF). This formulation provides an efficient way of systematically 
fulfilling the reciprocity principle, which avoids some of the major 
problems usually associated with the Monte Carlo Method; 
the numerical efficiency becomes independent of the optical thickness, 
highly nonuniform grid sizes can be used with no increase 
in computation time, and configurations with small temperature 
differences can be treated with very good accuracy. It is shown that 
the radiative term is significant compared to the conductive term 
in just two specific regions in the emitting and absorbing 
gas in the immediate vicinity of the wall and in the external part 
of the boundary layer. The exchange Monte Carlo method (EMCM) is 
described in detail for a one-dimensional slab.

Departement de Physique Faculte des Sciences et Techniques,
Errachidia, Morrocco,
Departement de Physique Faculte 
des Sciences, Meknes, Morrocco

IFZH74920199914
IFZH7492014