The purpose of this paper is to obtain the temperature field inside a cylinder filled in with a dense nonscattering semitransparent medium from directional intensity data by solving the inverse radiative transfer equation. This equation is solved in a first approach with the help of a discrete scheme, and the solution is then exactly obtained by separating the physical set on two disjoint domains on which a Laplace transform is applied, followed by the resolution of a first kind Fredholm equation.
Restitution of the Temperature Field Inside a Cylinder of Semitransparent Dense Medium From Directional Intensity Data
Le Dez, V., Lemonnier, D., and Sadat, H. (August 25, 2009). "Restitution of the Temperature Field Inside a Cylinder of Semitransparent Dense Medium From Directional Intensity Data." ASME. J. Heat Transfer. November 2009; 131(11): 112701. https://doi.org/10.1115/1.3154622
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