iinverse problem of coupled radiative and conductive heat transfer in a cavity filled with co2 and h2o at different mole fractions

This paper deals to an inverse analysis of combined conduction and radiation and heat transfer in a square cavity filled with radiating gases by numerical technique. the radiating medium    is considered an air mixture with co2 and h2o at different mole fractions, which is treated as homogeneous, absorbing, emitting and scattering gray gas. the main purpose is to verify the effects   of gas mole fractions (carbon dioxide and water vapor) on the solution of inverse design problem. in the analysis, the conjugate gradient method is used to investigate the temperature distribution upon the heater surface to satisfy the prescribed temperature and heat flux distributions on the design surface. the temperature distributions over the heater surface while the enclosure is filled with different mole fractions of co2 and h2o in an air mixture are calculated in this paper. it is found that the heater surface needs more power to maintain the design surface under uniform temperature and heat flux when the air mixture contains high mole fractions of co2 and h2o. numerical results reveal that by increasing the mole fractions of carbon dioxide and water vapor two times in the air mixture, the average heat flux over the heater surface increases about 16%. the present numerical results for the direct problems are compared with theoretical findings by other investigators and good consistencies are seen.