Solving Transient Conduction And Radiation Using Finite Volume Method
Radiative heat transfer in participating medium has been carried out using the finite volume method. The radiative
transfer equations are formulated for absorbing and anisotropically scattering and emitting medium. The solution strategy is
discussed and the conditions for computational stability are conferred. The equations have been solved for transient radiative
medium and transient radiation incorporated with transient conduction. Results have been obtained for irradiation and
corresponding heat fluxes for both the cases. The solutions can be used to conclude incident energy and surface heat flux.
Transient solutions were obtained for a slab of heat conducting by thermal radiation. The effect of heat conduction during the
transient phase is to partially equalize the internal temperature distribution. The solution procedure provides accurate
temperature distributions in these regions. A finite volume procedure with variable space and time increments is used to solve
the transient energy equation. The medium in the enclosure absorbs, emits, and anisotropically scatters radiative energy.
The incident radiations and the radiative heat fluxes are presented in graphical forms. The phase function anisotropy
plays a significant role in the radiation heat transfer when the boundary condition is non-symmetric.