Analysis of conducting-gas channel flow in a self-induced magnetic field

The flow of a conducting gas in a flat channel is investigated in the hydraulic approximation with allowance for the Hall effect and the differential term in Ohm's law. Although channel flow has been extensively studied (for example, in 1–7]), these factors have not been simultaneously taken into account. It turns out that their presence makes it impossible to introduce a perfectly uniform gas dynamic flow, which complicates the problem. Special attention is paid to the conditions of realization of a smooth transition through the characteristic velocity which, in these circumstances, does not correspond to a gas dynamic Mach number equal to unity.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.1, pp. 1119, January–February, 1993.