A solution for the Telegrapher’s equation with external source: development and first application

This work represents the detailed comparison of the analytical solutions for the space and time dependent diffusion and Telegrapher’s equations to the experimental results, obtained for the YALINA-Booster subcritical facility during the experimental campaign in 2008. The derivation of analytical solution for the Telegrapher’s equation with a special temporal shape of the external source (switch on followed by a switch off after a finite time period) is described. The Green’s function method was applied. Qualitative results of the obtained solutions and the experimental results are analyzed.
The special configuration of the YALINA-Booster facility is discussed.