SESSION 10
COMBUSTION SYSTEMS 2
Chairman: S.H. Chan
THE RADIATIVE AND CONVECTIVE HEAT TRANSFER IN CIRCULATING FLUIDIZED BEDS
H.G. RADAUER , A. GLATZER, W. LINZER Institute of Thermal Engineering, Technical University of Vienna, Getreidemarkt 9/302, A-1060 Vienna, Austria
Abstract. A mathematical model for description of heat transfer under Circulating Fluidized Bed
(CFB)-conditions is proposed. According to the dominating heat transfer mechanisms (particle
convection and particle radiation) the model is based on two modules describing radiative and
convective part. The shielding effect of the dense and cool wall layer is included and demonstrated.
Due to the variation of particles concentration in the wall layer the radiation behaviour changes
between optical thin and optical thick. The development of a wall layer close to wall and platen
heat exchangers in CFBs was investigated in experimental way. In a further step bed to wall heat
transfer coefficients were measured and are compared to data from literature.
RADIATIVE PERFORMANCE DURING COMBUSTION OF SOOT IN CERAMIC FILTER TRAPS
Alejandro F. Romero, Instituto de Ingeniería, UNAM Universidad Nacional Autónoma de México Tel. (52)(5) 622-8142, Fax (52)(5) 616-2894 & 1514 afrl@servidor.unam.mx
ABSTRACT.- A particulate aggregate model which takes place during the incomplete
combustion of Diesel fuel in heavy duty engines is presented. An approximate analytical solution
for the temperature field in a filter ceramic porous wall is presented. Ceramic monoliths are being
used for filtration of particulate matter (or soot). An alternative approach covering essential
engineering problems is presented by means of a numerical simulation, which shows safety
operational features of the proposed scheme. Some predicted performance of the filter ceramic
traps are also presented.
ADVANCED NUMERICAL MODELING OF RADIATIVE TRANSPORT FOR HIGH TEMPERATURE MULTIPHYSICS APPLICATIONS
Shawn P. Burns, Russell D. Skocypec, Bruce L. Bainbridge, Dean Dobranich, Louis A. Gritzo, Micheal W. Glass, James H. Strickland Engineering Sciences Center Sandia National Laboratories, Albuquerque, New Mexico, USA
One of the goals of the Engineering Sciences Center at Sandia National Laboratories is to provide heat
transfer solutions for engineering systems. Solutions are sought for a wide range of applications in
manufacturing and defense programs including industrial furnace, combustion, and fire safety
applications. Applications often involve transient and steady state, multiphysics solutions characterized
by complex multidimensional geometries and nonlinear material properties and boundary conditions.
Radiative transport plays an important role in many of the applications of interest to the Center which
supports a number of existing computational tools as well as an active research program to develop
advanced computational techniques. The objective of this paper is to describe the numerical algorithms
currently in use and under development at the Engineering Sciences Center and provide some details
regarding the formulations used and their implementation.
Radiative exchange between gray, diffuse surfaces is the most fundamental radiative transport mode and
plays an important role in industrial furnace applications. The CHAPARRAL software developed in the
Engineering Sciences Center employs the hemicube algorithm to provide surface-to-surface view factors
in a general three dimensional geometry. Spatial discretization is provided using an unstructured finite
element mesh in which the surface emissivity may vary. Successive refinement is employed to improve
the view factor calculation when surfaces are close compared to their effective diameter. This is an
important capability for many engineering systems in which radiative exchange may take place across
narrow gaps.
Applications such as glass furnaces and fire safety also involve radiative transport within absorbing,
emitting, and scattering materials. The Engineering Sciences Center currently employs the MYST
package, a descendant of the NIKE/ATHENA neutron transport software originally developed at Los
Alamos National Laboratories, for this class of application. The NIKE/ATHENA software employs
either a discrete ordinate or a simplified spherical harmonics formulation with the even/odd parity form of
the Boltzmann transport equation on an unstructured tetrahedral finite element mesh. The
NIKE/ATHENA software is capable of evaluating nongray (multiple energy group) radiative transport
with anisotropic scattering. The MYST package also provides material property submodels for a number
of gases as well as Mie scattering phase functions for spherical particles with specified diameter complex
index of refraction.
In most engineering systems radiative transport is coupled to other heat transport modes requiring a
simultaneous solution of the radiative transport and conservation of energy. For enclosure radiation
applications, the COYOTE conduction heat transfer package employs the viewfactors developed by the
CHAPARRAL software to provide the necessary heat flux values at the boundaries of radiation
enclosures. For many applications Picard iteration is employed in which the radiative fluxes are
calculated at the enclosure surfaces and are then included as source terms for the conservation of energy
equation resulting in a segregated or uncoupled formulation. A Newton iteration scheme may be
employed for steady state applications involving solid regions which are not in direct contact and
exchange energy purely through radiation. Each step of the Newton iteration scheme involves a solution
of the fully coupled or unsegregated conservation of energy and radiative transport system.
A segregated approach is also employed for applications involving combined conduction and
participating media radiative transport. During each nonlinear iteration the temperature solution is passed
to the participating media radiation solver which provides volumetric source terms and boundary heat
flux values for the subsequent iteration.
Hydrocarbon pool fire modeling is currently one of the most challenging areas of research underway at
the Engineering Sciences Center. Fire modeling requires the simultaneous solution of the turbulent fluid
flow, species, and energy transport and chemical reaction equations. Furthermore, to resolve the length
and time scales of importance in a complex three dimensional geometry requires the use of high
resolution computational grids on the order of 106 to 108 computational cells.
Radiative transport is a dominant heat transport mode in hydrocarbon pool fires. For heavily sooting
fires, the radiative material properties are dominated by the soat phase which may be modeled as gray and
nonscattering to a good first approximation. The SYRINX software under development at the
Engineering Sciences Center employs a parallel discrete ordinate formulation of the gray, nonscattering
radiative transport equation on an unstructured finite element spatial grid. The SYRINX software
employs spatial domain based parallelism to achieve the spatial resolution required on a distributed
memory, massively parallel architecture. As a consequence of the global nature of the radiative transport,
however, spatial decomposition results in relatively poor parallel efficiency although useful parallel
speedup is still achieved. To improve parallel efficiency, the SYRINX software also allows the use of
angular domain based parallelism in combination with spatial decomposition.
Other areas of research at the Engineering Sciences Center include the development of a gridless
Lagrangian formulation of the radiative transport equation which utilizes a fast multipole algorithm to
solve the resulting N body problem. The natural adaptivity of the Lagrangian formulation allows the
concentration of computational effort in regions where radiative transport is most important. Such
adaptivity has great potential for fire modeling applications which are characterized by high temperature
flame sheets within the optically thick plume region. Additionally, improving the spatial resolution in
this manner may allow the inclusion of nongray material properties and scattering within the fire model.
This paper has provided formulation and implementation details for a number of numerical modeling
packages employed by the Engineering Sciences Center to address modeling needs involving thermal
radiative transport. In developing these analysis tools the center recognizes that it is not possible to select
a single optimum algorithm or formulation which can treat the wide variety of radiative transport
applications. Continuing research will be conducted to develop robust and accurate solutions for
engineering systems using state of the art technology.
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