ISSN:
0934-0866
Keywords:
Chemistry
;
Industrial Chemistry and Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
Solution of the linear system of equations obtained by discretization and numerical quadrature of the Fredholm integral equation describing Fraunhofer diffraction by a distribution of particles is considered. The condition of the resulting system of equations depends on the discretization strategy. However, the specific set of equations is shown to depend on the discretization scheme used for the scattering angle domain (the number, positions and apertures of the detectors) and for the size domain (the number and extent of the discrete size classes). The term scaling is used here to describe particular formulations or configurations of the scattering angles and size classes, and a method for optimally scaling the systems is presented. Optimality is determined using several measures of the condition (stability) of the resulting system of linear equations. The results provide design rules for specifying an optimal photodetector configuration of a Fraunhofer diffraction particle sizing instrument.
Additional Material:
2 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/ppsc.19870040127
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