Exact Solution of the Inverse Scalar Radiative Transfer Problem in One-Dimensional Atmospheres

Astrophysics ◽  
2019 ◽  
Vol 62 (3) ◽  
pp. 434-438
Author(s):  
A. G. Nikoghossian
Keyword(s):  
Exact Solution ◽  
Radiative Transfer ◽  
Transfer Problem ◽  
Radiative Transfer Problem ◽  
One Dimensional

scholarly journals Analytical solution of the simple nonlinear radiative transfer problem

2018 ◽  
pp. 364-372
Author(s):  
H. V. Pikichyan
Keyword(s):  
Radiative Transfer ◽  
Analytical Solution ◽  
Transfer Problem ◽  
Internal Field ◽  
Field Problem ◽  
Radiative Transfer Problem ◽  
Absorbing Medium ◽  
One Dimensional ◽  
Radiation Beams ◽  
Finite Optical Thickness

Exploring the "Principle of invariance" and the method of "Linear images", the simple nonlinear conservative problem of radiative transfer is analyzed. The solutions of nonlinear reection-transmission and internal field problems of one dimensional scattering-absorbing medium of finite optical thickness are obtained, whereas both boundaries of medium illuminated by powerful radiation beams. Using two different approaches - a direct and inverse problem, the analytical solution of the internal field problem is derived.

Numerical Simulation of Radiation Heat Transfer in a One-Dimensional Graded Index Sphere

2012 ◽  
Vol 430-432 ◽  
pp. 2017-2020
Author(s):  
Lin Zhang ◽  
Shu Yang Wang ◽  
Guo Ling Niu
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Radiative Transfer ◽  
Transfer Problem ◽  
Radiative Transfer Problem ◽  
Fermat Principle ◽  
One Dimensional ◽  
Graded Index ◽  
Element Method

The rays will propagate along a curved path determined by the Fermat principle in medium with inhomogeneous refractive index distribution. To avoid the complicated computation of ray trajectories, a finite element method is extended to solve the radiative transfer problem in a one-dimensional absorbing-emitting semitransparent spherical graded index medium. A problem of radiative transfer inside a semitransparent spherical graded index medium is taken as an example to verify the method. The predicted temperature distributions are determined by the proposed method, and are compared with the results available in references. The results show that finite element method can predict the radiative heat transfer in one-dimensional absorbing-emitting semitransparent spherical graded index medium accurately.

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