{"title":"Transient Combined Conduction and Radiation in a Two-Dimensional Participating Cylinder in Presence of Heat Generation","authors":"Raoudha Chaabane, Faouzi Askri, Sassi Ben Nasrallah","country":null,"institution":"","volume":55,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1427,"pagesEnd":1433,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/1987","abstract":"Simultaneous transient conduction and radiation heat\r\ntransfer with heat generation is investigated. Analysis is carried out\r\nfor both steady and unsteady situations. two-dimensional gray\r\ncylindrical enclosure with an absorbing, emitting, and isotropically\r\nscattering medium is considered. Enclosure boundaries are assumed\r\nat specified temperatures. The heat generation rate is considered\r\nuniform and constant throughout the medium. The lattice Boltzmann\r\nmethod (LBM) was used to solve the energy equation of a transient\r\nconduction-radiation heat transfer problem. The control volume finite\r\nelement method (CVFEM) was used to compute the radiative\r\ninformation. To study the compatibility of the LBM for the energy\r\nequation and the CVFEM for the radiative transfer equation, transient\r\nconduction and radiation heat transfer problems in 2-D cylindrical\r\ngeometries were considered. In order to establish the suitability of the\r\nLBM, the energy equation of the present problem was also solved\r\nusing the the finite difference method (FDM) of the computational\r\nfluid dynamics. The CVFEM used in the radiative heat transfer was\r\nemployed to compute the radiative information required for the\r\nsolution of the energy equation using the LBM or the FDM (of the\r\nCFD). To study the compatibility and suitability of the LBM for the\r\nsolution of energy equation and the CVFEM for the radiative\r\ninformation, results were analyzed for the effects of various\r\nparameters such as the boundary emissivity. The results of the LBMCVFEM\r\ncombination were found to be in excellent agreement with\r\nthe FDM-CVFEM combination. The number of iterations and the\r\nsteady state temperature in both of the combinations were found\r\ncomparable. Results are found for situations with and without heat\r\ngeneration. Heat generation is found to have significant bearing on\r\ntemperature distribution.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 55, 2011"}