The Distribution of Angular Flux for Slab Albedo Problem
The Distribution of Angular Flux for Slab Albedo Problem
The slab albedo problem is solved by using HN method. The albedo, transmission coefficientand angular flux are calculated for the isotropic scattering. The behavior of these parametersaccording to the changing of slab thickness is obtained. The angular flux distributions are goodagreement with literature. It was shown that HN method leads to concise equations and to fastconverging numerical results.
___
- Ganapol, B., “Analytical Benchmarks for Nuclear Engineering Applications”, NEA No.6292,
Organisation for Economic Co-operation and Development, pp 119, (2008).
- Case, K. M., and Zweifel P. F., “Linear Transport Theory”, Addition-Wesley, Reading Mass, (1972).
- Grandjean, P., and Siewert, C. E., “The FN Method in Neutron-Transport Theory Part II: Applications
and Numerical Results”, Nuc.Sci. Eng., 69, 161-168, (1978).
- Tezcan, C., Güleçyüz, M. Ç., Türeci, R. G., Kaşkaş A., “The HN Method for Half-Space Albedo and
Constant Source Problems for Isotropic and Anisotropic Scattering Kernels”, J. Quant. Spectrosc.
Radiat. Transf., 103(3), 611-619, (2007).
- Garcia, R. D., and Siewert, C. E., “On Angular Flux Computitions in Neutron-Transport Theory”,
Nuc. Sci. and Eng., 81, 474-476, (1982).
- Tezcan, C., Kaşkaş, A., Güleçyüz, M. Ç., “The HN Method for Solving Linear Transport Equation:
Theory and Applications”, J. Quant. Spectrosc. Radiat. Transf., 78, 243, (2003).
- Kaşkaş, A., Güleçyüz, M. Ç., Tezcan C., “The Slab Albedo Problem Using Singular Eigenfunctions
and The Third Form of the Transport Equation”, Ann Nucl. Energy, 23, No. 17, 1371-1379, (1996).
- Siewert, C. E., and Benoist, P., "The FN Method in Neutron-Transport Theory, Part I: Theory and
Applications", Nuc. Sci. and Eng., 69, 156-160, (1979).
- Chalhoub, E. S., Velho, H. F., Neto, A. J., “Evaluation of Radiances Generated by Solving the
Radiative-Transfer Equation with Different Approaches”, Journal of the Brazilian Society of
Mechanical Sciences and Engineering, 34(2), 184-192, (2012).