Half space albedo problem for the nonconservative vector equation of transfer with a combination of Rayleigh and isotropic scattering

Two media separated by a plane interface and each filling an infinite half-space are considered. Neutrons come in infinite number from infinity in one medium and the neutron density vanishes at infinity; in the other medium. Isotropic scattering in the laboratory system of co-ordinates in both media is assumed and all neutrons are assumed to have the same speed. The angular distribution of neutrons emerging from either medium into the other is obtained in terms of the angular distribution of neutrons for the Milne problem, that is, the angular distribution of neutrons emerging from a scattering medium into a vacuum. The latter angular distribution is tabulated in the preceding paper by LeCaine.

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Half-space albedo problem for İnönü, linear and quadratic anisotropic scattering

Nuclear Engineering and Technology ◽

10.1016/j.net.2019.10.008 ◽

2020 ◽

Vol 52 (4) ◽

pp. 700-707

Author(s):

R.G. Tureci

Keyword(s):

Half Space ◽

Anisotropic Scattering ◽

Albedo Problem

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Half-space albedo problem for the Anlı-Güngör scattering function

Kerntechnik ◽

10.1515/kern-2021-1028 ◽

2022 ◽

Vol 0 (0) ◽

Author(s):

Ali Zafer Bozkır ◽

Recep Gökhan Türeci ◽

Dinesh Chandra Sahni

Keyword(s):

Transport Equation ◽

Half Space ◽

Legendre Polynomials ◽

Neutron Transport ◽

Homogeneous Medium ◽

Second Order ◽

Scattering Function ◽

Neutron Transport Equation ◽

Albedo Problem ◽

Svd Method

Abstract One speed, time-independent and homogeneous medium neutron transport equation is solved for second order scattering using the Anlı-Güngör scattering function which is a recently investigated scattering function. The scattering function depends on Legendre polynomials and the t parameter which is defined on the interval [−1, 1]. A half-space albedo problem is examined with the FN method and the recently developed SVD method. Albedo values are calculated with two methods and tabulated. Thus, the albedo values for the Anlı-Güngör scattering are compared with these methods. The behaviour of the scattering function is similar to İnönü’s scattering function according to calculated results.

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Half-space albedo problem with modified FNmethod for linear and quadratic anisotropic scattering

Kerntechnik ◽

10.3139/124.110641 ◽

2017 ◽

Vol 82 (2) ◽

pp. 239-245 ◽

Cited By ~ 5

Author(s):

R. G. Türeci ◽

D. Türeci

Keyword(s):

Half Space ◽

Anisotropic Scattering ◽

Albedo Problem

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On a technique for deriving explicit transfer matrices of orthotropic layers

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/37/4/6534 ◽

2015 ◽

Vol 37 (4) ◽

pp. 303-315 ◽

Cited By ~ 1

Author(s):

Pham Chi Vinh ◽

Nguyen Thi Khanh Linh ◽

Vu Thi Ngoc Anh

Keyword(s):

Wave Propagation ◽

Explicit Form ◽

Half Space ◽

Transfer Matrix ◽

Rayleigh Waves ◽

Secular Equation ◽

Transfer Matrices ◽

Orthotropic Layer ◽

Wave Propagation Problem ◽

Arbitrary Thickness

This paper presents a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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