Density Inhomogeneities for Planar Uranium Layers

Calculations Based on the Approximation of Infinitely Extended Uranium Layers

If a cell’s working volume has the shape of a parallelepiped bounded by planar walls, and uranium layers are deposited to the inner surfaces of opposing walls, the transverse dimension of which noticeably exceeds the distance between them, and the cell itself has no buffer volumes (a cell of this type was used, for example, in studies [35, 36,4143]), the transverse density distributions of the gas averaged along the length of the cell can then be calculated in an approximation of infinitely extended uranium layers. Using this approach, all the physical parameters are dependent only upon a single transverse coordinate. The equation system presented in the first section of this chapter for N = 1 describes the gas behavior in this approximation. Here, the specific source distribution, as indicated above, can be fixed in Lagrangian coordi­nates (see study [19]), which considerably simplifies the calculation procedure. The density inhomogeneity formation processes in cells of this type do not qualitatively differ from the processes occurring in cylindrical cells.