Approximate numerical calculation method for deriving an asymmetrical temperature distribution in a cross-section of a gas-blasted arc

A new calculation method for deriving an asymmetrical temperature distribution in a cross-section of an SF6-gas-blasted arc is proposed. Side-on profiles of radiation intensities of four S+-ion spectra observed from two directions perpendicular to each other are used as input data to determine asymmetrical distributions of emission coefficients in the cross-section. The emission coefficient distribution of each spectral line is assumed to be represented by a product of three expressions: one corresponding to an elliptic component, the others being two polynomials that give degree of asymmetry with respect to x- and y-direction, respectively. Unknown co-efficients in two polynomials are numerically determined by an iteration process. From Boltzman plot diagram with respect to the emission coefficients of four S+-ion spectral lines for each spatial position, the asymmetrical temperature distribution of SF6-gas-blasted arc is estimated successfully.