Analytical axial view factors and thermal radiation distribution inside a cylindrical hohlraum

Thermal radiation redistribution inside a cylindrical hohlraum is discussed for uniform disc and two-ring sources. The flux conservation equation, cou pled with self-similar scaling relation for the re-emitted flux, is solved to obtain the radiation temperature profile inside a gold capillary hohlrau m at various times. The axial view factors required for the calculations ar e derived analytically in a closed form, which not only exactly reproduce t he numerical results [G. D. Tsakiris, Phys. Fluids B 4, 992 (1992)] but als o simplifies the overall problem enormously, both in terms of computational time and effort. (C) 2000 American Institute of Physics. [S1070-664X(00)03 005-6].