“…The turbulent mixing process between thermal plasma flow and homogeneous particle flow could be obtained by k-ε turbulent model [20,21]. The boundary conditions for solving the magnetohydrodynamic equations have been given in [12]. When the quartz particles are supplied through the annular channel into the reactor chamber, there is a slip velocity between the carrier gas and quartz particles, the injection velocity of quartz particles at the exit of annular channel, U p =U 1 •K p , where the correction coefficient K p was set at 0.8, 0.6, 0.5, and 0.4 for quartz particles of diameter d p =0.1, 0.2, 0.3, and 0.4 mm, respectively [15].…”