Line-by-Line Random-Number Database for Monte Carlo Simulations of Radiation in Combustion System

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Tao Ren ◽  
Michael F. Modest
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiative Heat ◽  
Random Number ◽  
Test Cases ◽  
Combustion System ◽  
Absorption Coefficients ◽  
One Dimensional ◽  
The Monte Carlo Method

With today's computational capabilities, it has become possible to conduct line-by-line (LBL) accurate radiative heat transfer calculations in spectrally highly nongray combustion systems using the Monte Carlo method. In these calculations, wavenumbers carried by photon bundles must be determined in a statistically meaningful way. The wavenumbers for the emitting photons are found from a database, which tabulates wavenumber–random number relations for each species. In order to cover most conditions found in industrial practices, a database tabulating these relations for CO2, H2O, CO, CH4, C2H4, and soot is constructed to determine emission wavenumbers and absorption coefficients for mixtures at temperatures up to 3000 K and total pressures up to 80 bar. The accuracy of the database is tested by reconstructing absorption coefficient spectra from the tabulated database. One-dimensional test cases are used to validate the database against analytical LBL solutions. Sample calculations are also conducted for a luminous flame and a gas turbine combustion burner. The database is available from the author's website upon request.

The Monte Carlo Method in Radiative Heat Transfer

1998 ◽  
Vol 120 (3) ◽  
pp. 547-560 ◽  
Author(s):  
J. R. Howell
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Hybrid Methods ◽  
Participating Media ◽  
Practical Applications ◽  
Monte Carlo Techniques ◽  
The Monte Carlo Method

The use of the Monte Carlo method in radiative heat transfer is reviewed. The review covers surface-surface, enclosure, and participating media problems. Discussion is included of research on the fundamentals of the method and on applications to surface-surface interchange in enclosures, exchange between surfaces with roughness characteristics, determination of configuration factors, inverse design, transfer through packed beds and fiber layers, participating media, scattering, hybrid methods, spectrally dependent problems including media with line structure, effects of using parallel algorithms, practical applications, and extensions of the method. Conclusions are presented on needed future work and the place of Monte Carlo techniques in radiative heat transfer computations.

Numerical Radiation Exchange in Rectangular Micro- and Mini-Channels Using the Monte Carlo Method

2015 ◽  
Author(s):  
Thomas R. Amundson ◽  
Rebecca N. Webb
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Aspect Ratio ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Incidence Angle ◽  
Incident Angle ◽  
The Monte Carlo Method ◽  
Mini Channels

The addition of appropriately shaped macroscale structures to a surface results in a directionally selective surface capable of high absorption of direct solar radiation and low hemispherical emission. This work investigates the effect of adding sub-macroscale structures to a smooth surface on net radiative heat transfer. The Monte Carlo method was used to characterize the net radiative heat transfer of rectangular micro- and mini-channels. The effects of varying the aspect ratio, surface absorptivity, and incident angle were determined. The effect of diffuse and specular reflections was also examined. For a diffuse surface, as the absorptivity increases so does the net heat transfer however, higher incident angles result in lower net heat transfer. For a specular surface, net heat transfer increases with both incidence angle and aspect ratio. In general, deeper channels increase net heat transfer. The effect of channel periodicity was also examined. In general, shorter periods increase net heat transfer when normalized by system length.

A Stochastic Approach for Radiative Exchange in Enclosures With Directional-Bidirectional Properties

1986 ◽  
Vol 108 (2) ◽  
pp. 264-270 ◽  
Author(s):  
M. H. N. Naraghi ◽  
B. T. F. Chung
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Radiative Heat ◽  
Transition Probabilities ◽  
Stochastic Approach ◽  
Numerical Examples ◽  
The Monte Carlo Method ◽  
Transfer Problems ◽  
Radiative Exchange

The concept of multiple Markov chains is applied to the study of radiative heat transfer problems. A stochastic method for calculating radiative interchange in enclosures consisting of a number of isothermal surfaces with directional-bidirectional properties is developed. In this work, the Monte Carlo method is employed for calculating the multiple transition probabilities. Numerical examples have been presented to demonstrate the usefulness of the present approach.

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