Shigen-to-Sozai
Online ISSN : 1880-6244
Print ISSN : 0916-1740
ISSN-L : 0916-1740
Nodal Head Method with Matric Operation in Analysis of Mine Ventilation Networks
Kyuro SASAKIHiroshi MIYAKOSHIToru ONOZUKAHiroshi KINOSHITA
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1990 Volume 106 Issue 10 Pages 587-594

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Abstract

This report describes a calculation method for mine ventilation networks with a nodal head method.
The generalized equations and calculation methods for solving a steady-state mine ventilation network have been written to clear the algorism of a computer program.
The use of the modified Choleski's decomposition algorism has an advantage of rapid convergence to solve the linear system for the pressure corrections of nodes consisting of a symmetric matrix.
The four examples of the mine ventilation networks, of which the total numbers of the nordes N are 8, 14, 51 and 141 respectively, were calculated with a personal computer (640KB, MS-DOS system). As the convergence criterion, it was employed that the maximum tolerance of the summed flow-rates in continuity at each node is less than 0.1 m3 /min. Under the condition that the pressure of the main fan is kept constant and the acceleration constant for convergence is taken 1.4, the numbers of the iteration until the convergence are nearly 13 for each example. The CPU times of an iteration are roughly in proportion to N3/2.

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© The Mining and Materials Processing Institute of Japan
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