Modares Mechanical Engineering

Modares Mechanical Engineering

Transient Radiative Transfer in Variable Index Media Between Concentric Cylinders and Spheres Using the Discrete Transfer Method

Document Type : Original Article

Authors
Amir Dehghanian 1
Seyed Masoud Hosseini Sarvari 2
1 Department of Mechanical Engineering, Shiraz University of Technology, Shiraz, Iran
2 Mechanical Engineering Department, Shahid Bahonar University of Kerman, Kerman, Iran
10.48311/mme.2025.96882.0
Abstract
In this study, the transient radiative transfer equation is numerically solved within a semi-transparent medium with a variable refractive index, located between two concentric cylinders or spheres. Utilizing the Discrete Transfer Method (DTM) and considering the geometric symmetry, the computational domain is reduced to a cylindrical or spherical sector. The domain is discretized into annular or spherical elements, and the angular space is divided into numerous discrete solid angles, allowing for the accurate tracking of radiative rays within the medium. To reduce computational time, a fast ray tracing algorithm is employed. The problem is analyzed for absorbing, emitting media with isotropic scattering and various refractive index distributions, including linear and discontinuous profiles. The obtained results demonstrate that the Discrete Transfer Method is a reliable and accurate approach for analyzing transient radiative heat transfer phenomena in such media, and it can effectively predict the behavior of radiative heat flux through such media
Keywords
Transient Radiative Transfer, Semi-transparent Medium, Discrete Transfer Method, Variable Refractive Index

Subjects

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Modares Mechanical Engineering
Volume 26, Issue 1
January 2026
Pages 43-52