Conduction Accompanied With Transient Radiative Heat Transfer Using Finite Volume Method

The objective of this research work is to investigate
for one dimensional transient radiative transfer equations with
conduction using finite volume method. Within the infrastructure of
finite-volume, we obtain the conservative discretization of the terms
in order to preserve the overall conservative property of finitevolume
schemes. Coupling of conductive and radiative equation
resulting in fluxes is governed by the magnitude of emissivity,
extinction coefficient, and temperature of the medium as well as
geometry of the problem.
The problem under consideration has been solved, for a slab
dominating radiation coupled with transient conduction based on
finite volume method. The boundary conditions are also chosen so as
to give a good model of the discretized form of radiation transfer
equation. The important feature of the present method is flexibility in
specifying the control angles in the FVM, while keeping the
simplicity in the solution procedure.
Effects of various model parameters are examined on the
distributions of temperature, radiative and conductive heat fluxes and
incident radiation energy etc. The finite volume method is considered
to effectively evaluate the propagation of radiation intensity through
a participating medium.