ABSTRACT

In order to predict radia t ive heat transfer accurately i n turbulent react ing flows, i t is necessary to couple the rad ia t ion calculat ions w i t h turbulence calculat ions. T h i s requires the solut ion of many coupled pa r t i a l differential equations and , i n pract ice, these equations need to be Reynolds or Favre aver­ aged. T h e difficulty arises from the averaging process: many unclosed terms appear as a result of turbulence-radiat ion interactions ( T R I ) that need to be modeled. T r a d i t i o n a l moment methods fail to obta in closure for these terms because too many add i t iona l pa r t i a l differential equations need to be modeled and solved simultaneously, which generally exceeds the power of current com­ puters ( M a z u m d e r and Modes t 1998). A s a consequence, t r ad i t iona l model ing of r ad ia t ing reactive flows has generally ignored turbulence-radia t ion interac­ t ions, i.e., r ad ia t ion calculat ions have been based on mean temperature and concentra t ion fields (Vi skan ta 1998) even though exper imental work has sug­ gested that mean radia t ive quantit ies may differ significantly from those based on mean scalar values ( G . M . Faeth and Jeng 1989).