Anisotropic scattering in three-dimensional differential approximation for radiation heat transfer

1987 ◽  
Vol 30 (7) ◽  
pp. 1371-1380 ◽  
Author(s):  
Duane W. Condiff
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Anisotropic Scattering ◽  
Radiation Heat ◽  
Differential Approximation

Simulation of Radiation Heat Transfer of Three Dimensional Participating Media by Radiative Exchange Method

2008 ◽  
Author(s):  
Mohammad Hadi Bordbar ◽  
Timo Hyppa¨nen
Keyword(s):  
Heat Transfer ◽  
Balance Equation ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Radiation Balance ◽  
Scattering Media ◽  
Radiation Heat ◽  
Exchange Method ◽  
Participating Media ◽  
Radiative Exchange

This paper describes the theoretical bases of the Radiative Exchange Method, a new numerical method for simulating radiation heat transfer. By considering radiative interaction between all points of the geometry and solving the radiation balance equation in a mesh structure coarser than the structure used in computational fluid flow calculation, this method is able to simulate radiative heat transfer in arbitrary 3D space with absorbing, emitting and scattering media surrounded by emitting, absorbing and reflecting surfaces. A new concept is introduced, that of the exchange factors between the different elements that are necessary for completing the radiative balance equation set. Using this method leads to a set of algebraic equations for the radiative outgoing power from each coarse cell being produced and the result of this set of equations was then used to calculate the volumetric radiative source term in the fine cell structure. The formulation of the exchange factor for a three-dimensional state and also a mesh size analysis that was conducted to optimize the accuracy and runtime are presented. The results of this model to simulate typical 3D furnace shape geometry, is verified by comparison with those of other numerical methods.

scholarly journals An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity

2020 ◽  
pp. 114-122
Author(s):  
A.Yu. Chebotarev ◽  
◽  
P.R. Mesenev ◽  
Keyword(s):  
Heat Transfer ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Radiation Intensity ◽  
Radiation Transfer ◽  
Boundary Value ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Conductive Heat ◽  
Radiation Heat

An optimization algorithm for solving the boundary value problem for the stationary equations of radiation-conductive heat transfer in the three-dimensional region is presented in the framework of the $ P_1 $ - approximation of the radiation transfer equation. The analysis of the optimal control problem that approximates the boundary value problem where they are not defined boundary conditions for radiation intensity. Theoretical analysis is illustrated by numerical examples.

Natural Convection/Radiation Heat Transfer Simulations of an Enclosed Array of Vertical Rods

2006 ◽  
Author(s):  
N. R. Chalasani ◽  
Miles Greiner
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Heat Generation ◽  
Spent Nuclear Fuel ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Radiation Heat ◽  
Simulation Techniques ◽  
Computational Fluid Dynamics Simulations ◽  
Dynamics Simulations

Experiments performed by others measured the temperature of twelve heated vertical rods within a constant temperature, internally finned cylindrical enclosure. Measurements were performed for a range of air and helium pressures and a range of rod heat generation rates. In the current work, three-dimensional computational fluid dynamics simulations of natural convection and radiation heat transfer within this domain were conducted to benchmark the simulation techniques. These calculations accurately reproduced the local and average temperatures when the heat generation rate was sufficiently low that the velocity field is steady. Future simulations will be used to design experiments that model spent nuclear fuel within non-isothermal cells of storage packages.

Radiation Heat Transfer of Arbitrary Three–Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces

1997 ◽  
Vol 119 (1) ◽  
pp. 129-136 ◽  
Author(s):  
S. Maruyama ◽  
T. Aihara
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Thermal Conditions ◽  
Emission Model ◽  
Scattering Media ◽  
Radiation Heat ◽  
Arbitrary Configuration ◽  
The Monte Carlo Method ◽  
Definition Of

Analysis of radiation heat transfer using the Radiation Element Method by Ray Emission Model, REM2, is described. The REM2 is a generalized numerical method for calculating radiation heat transfer between absorbing, emitting and scattering media and specular surfaces with arbitrary three–dimensional configurations. The ray emission model for various radiation elements is expressed by polyhedrons and polygons. Arbitrary thermal conditions can be specified for each radiation element, and generalized radiation transfer can be achieved for both of surface and volume elements by introducing a new definition of view factors. The accuracy of the present method is verified using simple configurations. A cubic participating medium with a spherical cavity covered with specular and diffuse surfaces is analyzed as an example of an arbitrary configuration. The temperature distribution shows good accuracy with a small number (45) of rays emitted from each element compared with the Monte Carlo method.

A Numerical Investigation of Ray Tracing Method in a View Factor Calculation Procedure for Zonal Radiation Heat Transfer in Complex Systems

2009 ◽  
Author(s):  
German Malikov ◽  
Vladimir Lisienko ◽  
Roman Koptelov ◽  
Jakov Kalugin ◽  
Raymond Viskanta
Keyword(s):  
Heat Transfer ◽  
Ray Tracing ◽  
Direct Method ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Heat Transfer Analysis ◽  
View Factor ◽  
Radiation Heat ◽  
Zonal Method ◽  
Metallurgical Furnaces

In this paper a variety of well known computer graphics algorithms (Binary Spatial Partitioning-BSP, Bounding Box-BB, and direct method of sequential search) for ray tracing are studied numerically in the context of the view factor calculations for the zonal method of radiation heat transfer analysis in complex industrial furnace geometries. The paper reports on a modified BSP algorithm which takes into account the specific types of obstructions and their arrangement in different types of metallurgical furnaces. The modified algorithm enhances the ray tracing calculations by two to three orders of magnitude. An universal algorithm to obtain an intersection with a polyhedron obstruction is developed. The method is tested for simple three dimensional and complex furnace geometries.

Monte Carlo Simulation of Radiative Heat Transfer in Rapid Thermal Processing (RTP) Systems

1994 ◽  
Vol 342 ◽  
Author(s):  
J. Vernon Cole ◽  
Karson L. Knutson ◽  
Klavs F. Jensen
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Thermal Processing ◽  
Measurement Techniques ◽  
Radiation Heat Transfer ◽  
Rapid Thermal Processing ◽  
Three Dimensional ◽  
General Purpose ◽  
Radiation Heat ◽  
Participating Media

ABSTRACTWe present a general purpose Monte Carlo method for the simulation of radiation heat transfer in rapid thermal processing (RTP) chambers. Three-dimensional mesh generation software is used to discretize the surfaces within the system, allowing the simulation of realistic chamber and reflector designs. An adaptive subdivision of the chamber geometry reduces the number of raysurface intersections which must be computed. The method models internal reflection, absorption, and transmission within participating media, and includes wavelength, temperature, and material dependent optical properties. Radiation heat transfer simulations are used to examine a reflector assembly, and to test the assumptions of optical wafer temperature measurement techniques.

scholarly journals Analysis on Three-Dimensional Inverse Load Problem of Radiation Heat Transfer.

1998 ◽  
Vol 64 (628) ◽  
pp. 4102-4108
Author(s):  
Kazuhiko KUDO ◽  
Akiyoshi KURODA ◽  
Hiroshi UCHIDA ◽  
Masahito OGUMA
Keyword(s):  
Heat Transfer ◽  
Radiation Heat Transfer ◽  
Three Dimensional ◽  
Radiation Heat
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