“…Heat flow problems in line heating processes have been studied by many researchers with the principal focus being the modelling of the shape of the flux distribution or threedimensional heat conduction with a moving torch [2,4,5]. Some mathematical models that utilized analytic solutions to determine the angular deformation under numerous assumptions have been suggested [1,6]. However, by not considering the non-linearity *Corresponding author: Department of Mechanical Engineering, Chonnam National University, 300 Yongbong-dong, Bukgu, Gwangju 500-757, Republic of Korea.…”