S. Cuperman et D. Zoler, A THEORETICAL INVESTIGATION OF STEADY-STATE CRITICAL PLASMA FLOWS IN ABLATIVE, CAPILLARY, HIGH-PRESSURE DISCHARGES, Fluid dynamics research, 12(4), 1993, pp. 185-202
A new method for the consistent study of stationary, critical flows in
ablative capillary discharges is presented. This method enables one t
o determine the correct values of the plasma characteristics (mass den
sity, flow velocity and temperature) at both closed (z = 0, say) and o
pen (z = 1) ends of the capillary; a subsequent integration of the bas
ic model equations used provides correct solutions at all axial distan
ces along the capillary. The method is independent of the complexity o
f the model equations used and holds for any kind of critical (fluid)
flow, in the presence of various types of external energy inflow. For
demonstration, we here considered the familiar, relatively simpler, no
n-ideal hydrodynamic equations obtained by averaging two-dimensional e
quations over the capillary cross-section; these quasi one-dimensional
equations describe (correctly) the essential 2D features of the ablat
ive capillary discharge, namely, the radial outward radiative transfer
of energy and the radial inward ablative mass flow.