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Transient combined conduction and radiation in a two-dimensional participating cylinder in presence of heat generation.
| Content Provider | CiteSeerX |
|---|---|
| Author | Chaabane, Raoudha Askri, Faouzi Nasrallah, Sassi Ben |
| Abstract | Abstract—Simultaneous transient conduction and radiation heat transfer with heat generation is investigated. Analysis is carried out for both steady and unsteady situations. two-dimensional gray cylindrical enclosure with an absorbing, emitting, and isotropically scattering medium is considered. Enclosure boundaries are assumed at specified temperatures. The heat generation rate is considered uniform and constant throughout the medium. The lattice Boltzmann method (LBM) was used to solve the energy equation of a transient conduction-radiation heat transfer problem. The control volume finite element method (CVFEM) was used to compute the radiative information. To study the compatibility of the LBM for the energy equation and the CVFEM for the radiative transfer equation, transient conduction and radiation heat transfer problems in 2-D cylindrical geometries were considered. In order to establish the suitability of the LBM, the energy equation of the present problem was also solved using the the finite difference method (FDM) of the computational fluid dynamics. The CVFEM used in the radiative heat transfer was employed to compute the radiative information required for the solution of the energy equation using the LBM or the FDM (of the CFD). To study the compatibility and suitability of the LBM for the solution of energy equation and the CVFEM for the radiative information, results were analyzed for the effects of various parameters such as the boundary emissivity. The results of the LBM-CVFEM combination were found to be in excellent agreement with the FDM-CVFEM combination. The number of iterations and the steady state temperature in both of the combinations were found comparable. Results are found for situations with and without heat generation. Heat generation is found to have significant bearing on temperature distribution. Keywords—heat generation, cylindrical coordinates; RTE; transient; coupled conduction radiation; heat transfer; CVFEM; LBM C I. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Heat Generation Energy Equation Radiative Information Radiation Heat Transfer Lattice Boltzmann Method Control Volume Finite Element Method Finite Difference Method Boundary Emissivity Abstract Simultaneous Transient Conduction Heat Transfer Specified Temperature Heat Generation Rate Transient Conduction-radiation Heat Transfer Problem Keywords Heat Generation Fdm-cvfem Combination Various Parameter Unsteady Situation Present Problem Lbm-cvfem Combination Radiative Heat Transfer Temperature Distribution Cylindrical Coordinate Radiation Heat Transfer Problem Radiative Transfer Equation Excellent Agreement Steady State Temperature Transient Conduction 2-d Cylindrical Geometry Significant Bearing Two-dimensional Gray Cylindrical Enclosure Conduction Radiation Enclosure Boundary Computational Fluid Dynamic |
| Content Type | Text |