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ArticleName Complex mineral dressing circuit design
DOI 10.17580/gzh.2021.10.11
ArticleAuthor Garifulin I. F., Viduetsky M. G., Maltsev V. A., Purgin A. P.

Design Institute, Ural Federal University, Yekaterinburg, Russia:

I. F. Garifulin, Chief Specialist
M. G. Viduetsky, Deputy Director of Science,
V. A. Maltsev, Director, Doctor of Engineering Sciences
A. P. Purgin, Production Engineering Department


Advanced multi-operation dressing circuits can be described using systems composed of a few tens of linear equations. It is difficult to calculate the errors of product yields in these systems. The complex mineral dressing circuits composed of a few operations of separation and mixing, as well as circulating flows are increasingly widely calculated using the matrix methods which includes construction of a system of equations of material balances for all operations in the circuit, and solution of the system with the help of direct and inverse matrixes of the involved coefficients. The matrix method enables quick and accurate calculation of complex process circuits, and allows mathematical modeling to predict and analyze complex relationships between the input and output parameters. This article presents the estimate algorithm of the matrix method accuracy in calculation of mineral dressing circuits using the condition number of the matrix. The examples for the simplest circuit (one operation) and more complex circuits are given. The condition number can be a convenient tool for estimating the matrix accuracy in calculation of complex mineral dressing circuits when determination of other criteria (for instance, dressing product yield error) is complicated or impossible. The condition number is applicable to many problems in engineering, including new processing equipment design. For example, the described procedure was used to select optimal algorithm of comparative sampling in introduction of multiple-purpose flotation machines at processing plants.

keywords Dressing product, dressing circuit design, yield, material balance, system of equations, matrix, inverse matrix, condition number

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