A Method of Solution of the Critical Mass Problem for a Thermal Pile with Slowing Down Properties Independent of Position |
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₁g 2b cosh A₁ already appear B₁ boundary condition constant convergence core and reflector core f₁ critical equation CRITICAL MASS PROBLEM Cylinder cylindrical geometry defined denote determinant developed discussion div D grad E₂ f₁ Finally finite follows formula Fourier transforms functions g₁'s Gaussian gives H. L. Garabedian homogeneous INDEPENDENT OF POSITION infinite listed method of harmonics Multiplication needed Neutron normalized noted Numerical OAK RIDGE obtained one-coordinate geometries origin particular solution pile equation PILE WITH SLOWING POSITION by G PROPERTIES INDEPENDENT region regular respect restricted result root satisfies the boundary sequence of functions set of orthogonal sinh sinh K slab slowing down kernels SLOWING DOWN PROPERTIES solved space Sphere studied takes the form THERMAL PILE Two-group method vanish variational method various geometries written