The algorithms for calculating wide relativistic and nonrelativisic flows are constructed on the basis of hgiehr-order aproximations of the geometrized theory of tubular beams. For relativistic streams with a nonzero veloctiy of inejctionand when the external magnetic field is absent, the internal surface of the beam, on which the intrinsic azimuthal nmagnetic field vanishes, is used as the base tube of current. For nonrelativistic flows, the case of emission bounded by the sapce charge is analyzed. It is shown that the error of the approximate solution is uniform with respect to the lengthu; this property is especially important for calculating the flows with hgih compression. From an example of the exact solution describing a spiral flow produced by a spiral cathode, it is demosntrated that for the beams of a relative width 0.6, jmp of the density of the current 3.32,a nd compression of an order of 70, the proposed technique provdies a calculation error that does not exceed 0.2/100.
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