Non-gaussian stochastic radiation transfer in finite planar media with quadratic scattering
Author
Source
Arab Journal of Nuclear Sciences and Applications
Issue
Vol. 49, Issue 3 (31 Jul. 2016), pp.206-215, 10 p.
Publisher
The Egyptian Society of Nuclear Science and Applications
Publication Date
2016-07-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Physics
Materials Science , Minerals
Abstract EN
The stochastic radiation transfer is considered in a participating planar finite continuously fluctuating medium characterized by non-Gaussian variability.
The problem is considered for diffuse-reflecting boundaries with quadratic Rayleigh scattering.
Random variable transformation (RVT) technique is used to get the complete average for the solution functions that are represented by the probability-density function (PDF) of the solution process.
RVT algorithm applies a simple integral transformation to the input stochastic process (the extinction function of the medium).
This linear transformation enables us to rewrite the stochastic transport equations in terms of the optical random variable (x) and the optical random thickness (L).
Then the radiation transfer equation is solved deterministically to get a closed form for the solution as a function of x and L.
So, the solution is used to obtain the PDF of the solution functions applying the RVT technique among the input random variable (L) and the output process (the solution functions).
The obtained averages of the solution functions are used to get the complete analytical averages for some interesting physical quantities, namely, reflectivity, transmissivity and partial heat fluxes at the medium boundaries.
Numerical results are represented graphically for different non-Gaussian probability distribution functions that compared with the corresponding Gaussian PDF.
American Psychological Association (APA)
Salah, M.. 2016. Non-gaussian stochastic radiation transfer in finite planar media with quadratic scattering. Arab Journal of Nuclear Sciences and Applications،Vol. 49, no. 3, pp.206-215.
https://search.emarefa.net/detail/BIM-724295
Modern Language Association (MLA)
Salah, M.. Non-gaussian stochastic radiation transfer in finite planar media with quadratic scattering. Arab Journal of Nuclear Sciences and Applications Vol. 49, no. 3 (Jul. 2016), pp.206-215.
https://search.emarefa.net/detail/BIM-724295
American Medical Association (AMA)
Salah, M.. Non-gaussian stochastic radiation transfer in finite planar media with quadratic scattering. Arab Journal of Nuclear Sciences and Applications. 2016. Vol. 49, no. 3, pp.206-215.
https://search.emarefa.net/detail/BIM-724295
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 214-215
Record ID
BIM-724295