ISSN:0041-1450    

DOI:10.1080/00411457208232535

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The differential neutron flux in slab geometry can be represented as a linear combination of traveling eigenmodes that propagate with exponential decay as functions of distance. The operators that serve to analyze the flux into mode amplitudes and to synthesize the flux from the mode amplitudes are determined. The particular analyzers and synthesizers it is appropriate to use in any given situation depend on the boundary conditions. These operators have an interpretation independent of any particular problem. The fluxes of interest can be written down almost by inspection in terms of these operators.

ISSN:0041-1450    

DOI:10.1080/00411457208232536

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A variational method specially suited to neutron problems in small assemblies of coherent scatterers is described. The trial function used is a linear combination of a Maxwellian and exact solutions of the eigenvalue equation for two chosen values of buckling. This method accounts rather accurately for the sharp variations in the asymptotic neutron-energy spectrum (which arise because of discontinuities in the values of total scattering and transport cross sections) and also gives very accurate values for the fundamental mode-decay constant. As examples we have considered the decay of a neutron pulse in beryllium, beryllium oxide, and ice.

ISSN:0041-1450    

DOI:10.1080/00411457208232537

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A formal deduction of the Boltzmann equation from the Liouville equation is presented for the case of rigid spheres.

ISSN:0041-1450    

DOI:10.1080/00411457208232538

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The sound problem in plane geometry is solved under the assumption of no intermolecular collisions and for arbitrary gas-surface scattering kernels, first disregarding any interference from the detector and then with full account of the interreflections. In the latter case the phase lag is found to behave like s log s for small widths of the gap between transmitter and detector. Expansions derived for idealized cases show that measurements of transmitted sound hold little promise of yielding significant information about the gas-surface interaction. Such a goal is better approached by studying the reaction to the transmitter (e.g., by observing the damping of a freely vibrating elastic reed), whereby the normal-momentum accommodation coefficient could be determined.

ISSN:0041-1450    

DOI:10.1080/00411457208232539

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The critical problem for a finite reactor system is formulated in the framework of the multigroup approximation. Under the condition that the system has spectrum-regenerated properties it is proved that the critical problem to the multigroup transport equation has a unique solution. This solution is nonnegative and essentially bounded everywhere.

ISSN:0041-1450    

DOI:10.1080/00411457208232540

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

ISSN:0041-1450    

DOI:10.1080/00411457208232541

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor