A general ray tracing approach for solving thermal radiation in regular one-dimensional variable index media via the Monte Carlo method

SMH Sarvari - International Communications in Heat and Mass …, 2024‏ - Elsevier
In the heat transfer community, one-dimensional media refers to some media where the
temperature and other thermophysical properties vary along one direction. Plane-parallel …

Temperature field inside an absorbing–emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index

PB Abdallah, V Le Dez - Journal of Quantitative Spectroscopy and …, 2000‏ - Elsevier
The temperature field inside an absorbing–emitting slab of semi-transparent grey medium at
radiative equilibrium has been determined with the help of a curved ray-tracing technique …

Recent progress in computational thermal radiative transfer

HP Tan, LH Liu, HL Yi, JM Zhao, H Qi, JY Tan - Chinese Science Bulletin, 2009‏ - Springer
The equation describing the transfer of radiant energy in semitransparent media is radiative
transfer equation. In three-dimensional semitransparent media, radiative intensity is a …

Finite element method for radiation heat transfer in multi-dimensional graded index medium

LH Liu, L Zhang, HP Tan - Journal of Quantitative Spectroscopy and …, 2006‏ - Elsevier
In graded index medium, ray goes along a curved path determined by Fermat principle, and
curved ray-tracing is very difficult and complex. To avoid the complicated and time …

Reverse Monte Carlo coupled with Runge-Kutta ray tracing method for radiative heat transfer in graded-index media

LY Wei, H Qi, ZT Niu, YT Ren, LM Ruan - Infrared Physics & Technology, 2019‏ - Elsevier
Abstract The Reverse Monte Carlo coupled with Runge-Kutta ray tracing (RMCRKRT)
method is developed to solve the radiative heat transfer problems in semitransparent media …

Solution of inverse radiation-conduction problems using a Kalman filter coupled with the recursive least–square estimator

S Wen, H Qi, YT Ren, JP Sun, LM Ruan - International Journal of Heat and …, 2017‏ - Elsevier
This paper presents a non–intrusive inverse heat transfer procedure for predicting the time–
varying heat flux on the surface of semitransparent media. Inverse radiation–conduction …

Lattice Boltzmann method for radiative transfer in two-layered slab with graded-index and Fresnel reflecting surfaces

GL Ymeli, X Liu, A Fokou, CH Wang - International Communications in Heat …, 2023‏ - Elsevier
Abstract Analysis of transport of radiative transfer in an inhomogeneous two-layered slab
with graded refractive indices and bounded by Fresnel's reflecting walls is carried out using …

Vectorial discrete ray tracing approach for solving radiative transfer in irregular variable index media via discrete transfer method

SMH Sarvari - International Journal of Heat and Mass Transfer, 2022‏ - Elsevier
A novel vectorial discrete ray tracing approach is applied for tracking the curve paths of
radiative beams through the variable index media with complex geometries. In this …

[PDF][PDF] Radiative transfer equation and solutions

JM Zhao, LH Liu - Handbook of thermal science and engineering, 2018‏ - researchgate.net
Radiative transfer equation (RTE) is the governing equation of radiation propagation in
participating media, which plays a central role in the analysis of radiative transfer in gases …

Finite element solution of radiative transfer across a slab with variable spatial refractive index

LH Liu - International journal of heat and mass transfer, 2005‏ - Elsevier
To avoid the complicated computation of ray trajectories, a finite element formulation is
developed to solve the radiative transfer problem in a one-dimensional absorbing–emitting …