A new approach of solving the third form of the transport equation in plane geometry: Half-space albedo-problem

1996 ◽  
Vol 55 (2) ◽  
pp. 251-258 ◽  
Author(s):  
C Tezcan ◽  
M.Ç Güleçyüz ◽  
F Erdog̈an
Keyword(s):  
Transport Equation ◽  
Half Space ◽  
Plane Geometry ◽  
New Approach ◽  
The Third ◽  
Albedo Problem

Approximate solutions to the half-space integral transport equation near a plane boundary

1980 ◽  
Vol 58 (9) ◽  
pp. 1291-1310 ◽  
Author(s):  
Michael S. Milgram
Keyword(s):  
Transport Equation ◽  
Half Space ◽  
Matrix Multiplication ◽  
Solution Space ◽  
Plane Geometry ◽  
Plane Boundary ◽  
Infinite Plane ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Integral Transport

A set of functions spanning the solution space of the integral transport equation near a boundary in semi-infinite plane geometry is obtained and used to reduce the problem to that of a system of linear algebraic equations. Expressions for the boundary angular flux are obtained by matrix multiplication, and the theory is extended to adjacent half-space problems by matching the angular flux at the boundary. Thus a unified theory is obtained for well-behaved arbitrary sources in semi-infinite plane geometry. Numerical results are given for both Milne's problem and the problem of constant production in adjacent half-spaces, and albedo problems in semi-infinite geometry. The solutions for the flux density are best near the boundary, and for the angular flux are best for angles near the plane of the boundary; it is conjectured that the theory will prove most useful when extended to arrays of finite slabs.

The slab albedo problem using singular eigenfunctions and the third form of the transport equation

1996 ◽  
Vol 23 (17) ◽  
pp. 1371-1379 ◽  
Author(s):  
A. Kaşkaş ◽  
M.Ç. Güleçyüz ◽  
C. Tezcan
Keyword(s):  
Transport Equation ◽  
The Third ◽  
Albedo Problem

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

Kerntechnik ◽  
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.

scholarly journals How to Solve the Problem of Evil

2019 ◽  
Vol 36 (4) ◽  
pp. 442-462 ◽  
Author(s):  
Justin Mooney ◽  
Keyword(s):  
Problem Of Evil ◽  
New Approach ◽  
Gratuitous Evil ◽  
The Third ◽  
The Problem Of Evil ◽  
Argument From Evil

One paradigmatic argument from evil against theism claims that (1) if God exists, then there is no gratuitous evil. But (2) there is gratuitous evil, so (3) God does not exist. I consider three deontological strategies for resisting this argument. Each strategy restructures existing theodicies which deny (2) so that they instead deny (1). The first two strategies are problematic on their own, but their primary weaknesses vanish when they are combined to form the third strategy, resulting in a promising new approach to the problem of evil.

scholarly journals A Monte Carlo Method of Solving Heat Conduction Problems

1980 ◽  
Vol 102 (1) ◽  
pp. 121-125 ◽  
Author(s):  
S. K. Fraley ◽  
T. J. Hoffman ◽  
P. N. Stevens
Keyword(s):  
Monte Carlo ◽  
Heat Conduction ◽  
Monte Carlo Method ◽  
Transport Equation ◽  
Heat Conduction Equation ◽  
Analytical Techniques ◽  
Conduction Equation ◽  
Geometric Complexity ◽  
New Approach ◽  
Temperature Distributions

A new approach in the use of Monte Carlo to solve heat conduction problems is developed using a transport equation approximation to the heat conduction equation. A variety of problems is analyzed with this method and their solutions are compared to those obtained with analytical techniques. This Monte Carlo approach appears to be limited to the calculation of temperatures at specific points rather than temperature distributions. The method is applicable to the solution of multimedia problems with no inherent limitations as to the geometric complexity of the problem.

scholarly journals Rehydration of Dried-Out Specimens: a New Approach

2020 ◽  
Vol 34 (1) ◽  
pp. 73-86
Author(s):  
F. Neisskenwirth
Keyword(s):  
Water Vapor ◽  
Soft Tissue ◽  
Second Step ◽  
Phosphate Solution ◽  
Glycerol Solution ◽  
New Approach ◽  
The Third ◽  
Demineralized Water ◽  
Chemically Induced

Abstract Different procedures are proposed in the literature for the rehydration of dried-out specimens. These procedures vary greatly in their efficiency and application. This work describes a new procedure that is inspired by the literature but that avoids heating the specimens. This method was applied to reconditioning dried-out specimens from a historical collection (Swiss freshwater fishes, bird brains, and bird eyes), stored at the Naturhistorisches Museum Bern in Switzerland. The procedure consists of five steps. The first step is the softening of hardened soft tissue with benzaldehyde and demineralized water. The second step is an indirect rehydration with water vapor. The third step is a chemically induced direct hydration using a trisodium phosphate solution that allows the specimen to swell in size before being washed with water to remove all additives. Finally, the rehydrated specimen is transferred into new preserving fluid. Because the dehydrating properties of ethanol as a preservative are problematic, this paper presents the results of an experimental case study using a glycerol solution as a preservation fluid.

scholarly journals A new approach to glycan targeting: enzyme inhibition by oligosaccharide metalloshielding

2014 ◽  
Vol 50 (31) ◽  
pp. 4056-4058 ◽  
Author(s):  
John B. Mangrum ◽  
Brigitte J. Engelmann ◽  
Erica J. Peterson ◽  
John J. Ryan ◽  
Susan J. Berners-Price ◽  
...  
Keyword(s):  
Enzyme Inhibition ◽  
Systematic Study ◽  
Coordination Compounds ◽  
Bioinorganic Chemistry ◽  
Structure And Function ◽  
New Approach ◽  
The Third ◽  
Major Class ◽  
And Function

Metalloglycomics – the effects of defined coordination compounds on oligosaccharides and their structure and function opens new areas for bioinorganic chemistry and expands its systematic study to the third major class of biomolecules after DNA/RNA and proteins.

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