Thermal boundary layer in a cylindrical gas column containing bulk sources and a bifilar current

Abstract

isobaric. The current produces Joule heating, namely an additional bulk heat source, which extends to the entire current layer and which may play an important part in the energy balance. We consider the stationary state on the assumption that thermal conduction is the main mode of heat loss. The problem can be formulated as follows in a frame of reference coupled to the free flow: One has to determine the structures of the thermal and current boundary layers formed in rectilinear motion of distributed heat sources and the bifilar current in the gas. 1. Figure 1 shows the disposition of the axes of the cylindrical coordinate system and the sections of the thermal and current layers. The forward current I with density J0 = (0, 0, J0) is localized in a column of radius a and sets up the azimuthal magnetic field B 0 = (0, B0, 0). The reverse current with dens[tyj = (Jr, 0, -jz ) produces the opposite field B' = (0, -B', 0). The component Jr of the reverse current is localized in the main in a small region of the initial section. The total magnetic field B = (0, B, 0) can be written as