An approximate solution of the problem of an electrical arc in a turbulent argon stream is obtained, taking into account convective and radiant energy losses in the discharge channel at atmospheric pressure.Electric-arc heaters with arc stabilization by a gas stream in long cylindrical channels are presently being used in various branches of science and technology. The Reynolds numbers determined by the stream parameters at the entrance to the discharge channel are ~104 . Moreover, the stream of working gas entering the discharge channel usually possesses an initial noticeable turbulence, and hence the gas flow in real heaters may be turbulent. Belyanin [1] proposed a turbulent arc model for an approximate estimate of the basic heater parameters, and it received further development and extension in [2][3][4]. The turbulent model of a longitudinally cooled arc is based on the analogy between the development of an arc discharge in a gas stream and the propagation of a nonisothermal jet in a co-flow. The heat exchange between the strongly heated central zone, in which the Joulean heat of the arc is evolved, and the cold peripheral gas layers is considered to be determined by turbulent mixing. The abundant empirical material accumulated in investigations of nonisothermal jets [5] is used for a quantitative description of the fundamental processes occurring in the discharge channel. dx we convert the last number of the energy equation to