PERTURBATION METHODS FOR REACTOR DIFFUSION EQUATIONS
Journal Article
·
· Nuclear Sci. and Eng.
OSTI ID:4194549
The multigroup diffusion equations are solved formally by expanding the flux in each group in a series ot eigenfunctions of the scalar Helntholtz equation. The resulting secular determinant is complicated, but a perturbation solution may be developed for the coupled multigroup equations. In the case of one energy group, the pertarbation method chosen reduces to a formula simpler to use and more rapidly convergent than the RayleighSehroedinger formulas. An operator convenient for expressing the boundary conditions at an interface in multiregion reactors is defined. The foregoing techniques are applied to the Fermi age equation for a reflected reactor. Numerical examples are given to illustrate the rates of convergence in typical reactor design problems. (auth)
- Research Organization:
- Raytheon Co., West Newton, Mass.
- NSA Number:
- NSA-14-000756
- OSTI ID:
- 4194549
- Journal Information:
- Nuclear Sci. and Eng., Journal Name: Nuclear Sci. and Eng. Vol. Vol: 6
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
A New Method for the Solution of Group Diffusion Equations
Multigroup Perturbation Theory and Eigenfunctions
THE PHYSICAL CALCULATION OF REACTORS IN THE MULTIGROUP DIFFUSION APPROXIMATION
Journal Article
·
Thu May 11 20:00:00 EDT 2017
· Nuclear Science and Engineering
·
OSTI ID:4180785
Multigroup Perturbation Theory and Eigenfunctions
Technical Report
·
Tue Mar 31 23:00:00 EST 1959
·
OSTI ID:4258491
THE PHYSICAL CALCULATION OF REACTORS IN THE MULTIGROUP DIFFUSION APPROXIMATION
Journal Article
·
Mon Dec 31 23:00:00 EST 1962
· Nekotorye Vopr. Inzh. Fiz.
·
OSTI ID:4080766