Inverse problem of coupled radiative and conductive heat transfer in cavity filled with CO2 and H2O, Effect of mole fraction

Document Type : Research Article


1 Department of Mechanical Engineering, Faculty of Shahid Sadooghi, Yazd Branch, Technical and Vocational University (TVU), Yazd, Iran

2 Department of Mechanical Engineering, School of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran


In the present study, an inverse analysis of combined radiation and conduction heat transfer in a square cavity filled with radiating gases is presented 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 which 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. For this, the well known Planck mean absorption coefficient is calculated and used in radiative calculations. The discrete ordinate method is used to solve the radiative transfer equation inside the participating medium. An attempt is made to determine the temperature distributions over the heater surface while the enclosure is filled with different mole fractions of CO2 and H2O in an air mixture. It is found that the heater surface needs more power to maintain the design surface under uniform temperature and heat flux when the gas mixture contains high mole fractions of CO2 and H2O. For the direct problem, the present numerical results are compared with theoretical findings in literature and a good consistency is found.


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