摘要:

A method is developed using the variational principle to solve a two-region, monoenergetic, one-dimensional transport problem arising in the calculation of the neutron flux-distortion factor. The Roussopoulos functional for the problem is modified with the help of a Lagrangian multiplier accommodating the interface conditions. The complete set of Case eigen-functions in each region are selected as the trial functions. The stationarity condition of the modified functional leads to a decoupled set of equations for each set of unknown coefficients. These are solved using Gauss quadrature to approximate integrals. Two problems are solved using the formalism developed; the problem of computing the flux-depression due to a foil placed in a medium with a constant source, and the problem of evaluating the flux-distortion due to a foil placed in an exponentially varying flux. The results are compared with the previously reported values and excellent agreement is observed.

ISSN:0041-1450    

DOI:10.1080/00411458308212730

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The concepts of volume averaging are briefly reviewed and a fundamental weakness of the standard averaging approach is examined. A generalized volume averaging method (use of a space-time varying averaging volume) is presented which reduces to the standard approach under specific limiting conditions. The generalized approach is valid whenever there exists suitably smooth averaging volumes, Theorems relating the averages of derivative to derivatives of averages are presented and proved. The macroscopic equations of an arbitrary extensive property are developed for statistically, locally homogeneous, multiphase media, and a probabilistic interpretation of the results is presented.

ISSN:0041-1450    

DOI:10.1080/00411458308212731

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

We derive a simple condition that determines the order, in Perturbation theory, of the linear instability of a plasma.

ISSN:0041-1450    

DOI:10.1080/00411458308212732

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The United States-Australia Workshop on Electrical Discharge Phenomena was held during February 2–5, 1982 in Sidney, Australia. The workshop was supported by the NationalScience Foundation (USA) and the Department of Science (Australia) as part of the “Bilateral Science and Technology Agreements” between the two countries.

ISSN:0041-1450    

DOI:10.1080/00411458308212733

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The third in a series o f Oberwolfach Conferences on kinetic theory directed by Profs. Helmut Neunzert and Donald Pack convened in the lovely Black Forest on 22 November 1982. The first of these Neunzert-Pack meetings, entitled “Mathematical Methods in Transport Theory”, was held during the first week of November, 1976, while the second, entitled as this one, met during the fourth week of May, 1979. Both conferences were reported in this journal. [1,2]

ISSN:0041-1450    

DOI:10.1080/00411458308212734

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

by James J. Duderstadt and William R. Martin, John Wiley and Sons, New York (1979), x + 613 pp., $55.95.

ISSN:0041-1450    

DOI:10.1080/00411458308212735

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor