P1-approximation for radiative transfer: application to SF6 + Cu arc plasmas

Abstract

The objective of the paper consists of a theoretical prediction of radiative heat transfer in arc plasmas of SF6 (sulphur hexafluoride) with various admixtures of copper vapours. As a mathematical tool the P1-approximation was used. Due to very complicated frequency dependence of absorption coefficients, Planck and Rosseland mean absorption coefficients have been derived from calculated absorption spectrum. Main radiation quantities (radiation intensity, radiation flux density and its divergence – net emission) have been determined in cylindrical arc plasmas for several model temperature profiles. Contribution to the net emission of copper admixtures is discussed. Conclusions have been made concerning validity and utilization of various absorption means.

The objective of the paper consists of a theoretical prediction of radiative heat transfer in arc plasmas of SF6 (sulphur hexafluoride) with various admixtures of copper vapours. As a mathematical tool the P1-approximation was used. Due to very complicated frequency dependence of absorption coefficients, Planck and Rosseland mean absorption coefficients have been derived from calculated absorption spectrum. Main radiation quantities (radiation intensity, radiation flux density and its divergence – net emission) have been determined in cylindrical arc plasmas for several model temperature profiles. Contribution to the net emission of copper admixtures is discussed. Conclusions have been made concerning validity and utilization of various absorption means.