Abstract: 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.
Abstract: A numerical study on the heat transfer in the thermal
barrier coatings and the substrates of a parallel-plate enclosure is
carried out. Some of the thermal barrier coatings, such as ceramics, are
semitransparent and are of interest for high-temperature applications
where radiation effects are significant. The radiative transfer equations
and the energy equations are solved by using the discrete ordinates
method and the finite difference method. Illustrative results are
presented for temperature distributions in the coatings and the opaque
walls under various heating conditions. The results show that the
temperature distribution is more uniform in the interior portion of each
coating away from its boundary for the case with a larger average of
varying refractive index and a positive gradient of refractive index
enhances radiative transfer to the substrates.
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 LBMCVFEM
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.