Numerical Solution of Radiative Transfer in a Real-Participating Media

2016 ◽  
Vol 138 (9) ◽  
Author(s):  
Hanene Belhaj Ali ◽  
Hajer Grissa ◽  
Faouzi Askri ◽  
Sassi Ben Nasrallah

In this paper, the control volume finite element method (CVFEM) is coupled with the weighted sum of gray gases model (WSGGM) to study the radiative heat transfer in a nongray medium. To the best of our knowledge, the CVFEM–WSGGM is applied for the first time to simulate real-gas. The accuracy of the proposed method is tested through one- and two-dimensional radiative heat transfer within an enclosure filled with a single composition (water vapor or carbon dioxide) or a mixture of H2O, CO2, and N2. Compared to the discrete ordinates method (DOM)–statistical narrow band model (SNBM), the proposed method, using the WSGG model parameters due to Smith or Farag, yields much accurate results than the zonal method (ZM)–WSGGM and DOM–WSGGM. In addition, the present method needs very less control volumes and angles, and consequently computational time, compared to the DOM and ZM coupled with WSGGM.

2001 ◽  
Vol 123 (4) ◽  
pp. 530-536 ◽  
Author(s):  
Zhixiong Guo ◽  
Shigenao Maruyama

The radiation element method by ray emission method, REM2, has been formulated to predict radiative heat transfer in three-dimensional arbitrary participating media with nongray and anisotropically scattering properties surrounded by opaque surfaces. To validate the method, benchmark comparisons were conducted against the existing several radiation methods in a rectangular three-dimensional media composed of a gas mixture of carbon dioxide and nitrogen and suspended carbon particles. Good agreements between the present method and the Monte Carlo method were found with several particle density variations, in which participating media of optical thin, medium, and thick were included. As a numerical example, the present method is applied to predict radiative heat transfer in a boiler model with nonisothermal combustion gas and carbon particles and diffuse surface wall. Elsasser narrow-band model as well as exponential wide-band model is adopted to consider the spectral character of CO2 and H2O gases. The distributions of heat flux and heat flux divergence in the boiler furnace are obtained. The difference of results between narrow-band and wide-band models is discussed. The effects of gas model, particle density, and anisotropic scattering are scrutinized.


Author(s):  
G. Krishnamoorthy ◽  
S. Borodai ◽  
R. Rawat ◽  
J. Spinti ◽  
P. J. Smith

Different approaches to modeling radiative heat transfer in Large Eddy Simulations (LES) of a 38 cm diameter methane pool fire are compared. The P-1 radiation model and the discrete ordinates method are spatially decomposed to solve the radiative transport equation (RTE) on parallel computers. The radiative properties are obtained in the form of mean absorption coefficients from total emissivity data or of spectral absorption coefficients extracted from a narrow band model (RADCAL). The predictions are compared with experimental data. The different approaches are able to predict total radiative heat loss fractions with only a moderate loss of accuracy. However, only the discrete ordinates method is able to qualitatively predict the distributions of the radiative heat flux vectors in regions away from the fire. Results obtained from the calculations performed with the gray property model are very close to those obtained with non-gray calculations. Employing the P-1 radiation model with the gray property model provides adequate coupling between the hydrodynamics and radiative heat transfer while decreasing computational time by about 20% compared to the discrete ordinates method in moderate size grids. The computational savings associated with the P-1 model can become significant in LES calculations that are performed on large computational grids (employing hundreds to thousands of processors) to resolve structures on the scale of the pool diameter. Such resolution is necessary to capture both the large structures on the scale of the pool fire and the smaller regions of air engulfments and visible flame structures that are pivotal to characterizing soot location and temperature.


2020 ◽  
Vol 24 (6 Part A) ◽  
pp. 3663-3672
Author(s):  
Filip Juric ◽  
Milan Vujanovic ◽  
Marija Zivic ◽  
Mario Holik ◽  
Xuebin Wang ◽  
...  

Combustion systems will continue to share a portion in energy sectors along the cur-rent energy transition, and therefore the attention is still given to the further improvements of their energy efficiency. Modern research and development processes of combustion systems are improbable without the usage of predictive numerical tools such as CFD. The radiative heat transfer in participating media is modelled in this work with discrete transfer radiative method (DTRM) and discrete ordinates method (DOM) by finite volume discretisation, in order to predict heat transfer inside combustion chamber accurately. The DTRM trace the rays in different directions from each face of the generated mesh. At the same time, DOM is described with the angle discretisation, where for each spatial angle the radiative transport equation needs to be solved. In combination with the steady combustion model in AVL FIRE? CFD code, both models are applied for computation of temperature distribution in a real oil-fired industrial furnace for which the experimental results are available. For calculation of the absorption coefficient in both models weighted sum of grey gasses model is used. The focus of this work is to estimate radiative heat transfer with DTRM and DOM models and to validate obtained results against experimental data and calculations without radiative heat transfer, where approximately 25% higher temperatures are achieved. The validation results showed good agreement with the experimental data with a better prediction of the DOM model in the temperature trend near the furnace outlet. Both radiation modelling approaches show capability for the computation of radiative heat transfer in participating media on a complex validation case of the combustion process in oil-fired furnace.


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