The effects of photon spectrum and variable thermal conductivity on the distribution of temperature in an inclined plate crotch absorber

Abstract

Absorption of photons in a metal is varied up to the photon energy spectrum. For example, larger wavelength photons generally can be more easily absorbed when they pass through an absorber while shorter ones tend to penetrate. This spectral variation of photon energy absorption takes place angularly due to the angular variation of the synchrotron radiation power. In this note, the effects of photon spectrum have been investigated for the thermal analysis of crotch absorbers. In addition, the effects of variable thermal conductivity have also been investigated. The heat generation due to the photon energy deposition diffuses throughout the metal with the thermal conductivity k which is dependent on the temperature field. This temperature dependence of the conductivity results in a non-linear heat conduction equation. This note presents both effects of the photon spectrum and the variable thermal conductivity on the temperature distribution for inclined crotch absorbers. A finite difference program was written and the calculation results were compared with the previous analytical solution which assumed constant conductivity and absorption coefficient.