Radiative Heat Transfer in Three Dimensional Enclosures Containing Participating Media with Heat Generation
Mitesh Shah1,2, Prabal Talukdar1,a and P. M. V. Subbarao1
1Department of Mechanical Engineering, Indian Institute of Technology Delhi, Delhi, India.
aprabal.talukdar@gmail.com
2Department of Mechanical Engineering, A. D. Patel Institute of Technology, V. V. Nagar 388 121, Gujarat, India.
ABSTRACT
This article deals with performance evaluation of the discrete ordinates method in terms of its capacity in solving radiative heat transfer problems with various complexities. A radiative transport equation (RTE) is derived for a three dimensional cubic enclosure containing an absorbing, emitting and non scattering medium. Numerical solution of the RTE is carried out by a set of N discrete direction SN method e.g. S2 and S4 method. Analysis was carried out for two representative benchmark problems dealing with radiative equilibrium and non radiative equilibrium conditions. For the above two types of the problems considered, simulations were performed for a wide range of aspect ratios L/H, extinction coefficient β. Analysis was also carried out for a third set of problem with heat generation. Results are validated for the S2 and S4 scheme against the results obtained with the exact method. The developed model demonstrates the capability of radiative transport analysis with a heat generation source at the center and convective boundary condition at the walls.
Full Text (PDF)
|
