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Krystian Kalinowski and Roman Kaula

Abstract

Parameters of flotation kinetics model with a gamma and a triangular distribution have been determined based on the batch coal flotation experiments. Analyses were carried out at different values of the intensity of aeration air. The results of example analyses are presented in tables and graphs form. It follows from the carried out study on the mathematical models of flotability coefficient distribution of particles of examined coal samples that the triangular distribution model is statistical equivalent to the gamma flotability distribution. The assumption of the triangular distribution enables determination of the density function of distribution of fraction in the industrial flotation machines. Knowledge of this function will allow better evaluation of the phenomena occurring in the process of enrichment. It may be one of the basic information used in the supervisory control system.

Open access

Krystian Kalinowski and Roman Kaula

Abstract

In the theory and a simulation technique of a coal flotation process a density function of a distribution of particles flotability is widely used. The characteristics of this type in the design of the flotation circuits as well as to optimize of the settings of the industrial flotation machines may be used. The density function of the distribution of the fraction f (k) based on the kinetics experiments to measure the recovery of material as a function of time in the laboratory flotation machines (in the batch coal flotation process) is determined. The problems of the determining of the flotability spectrum are relatively well resolved. An important problem is the determination of the concentrate quality. The concentrate quality directly depends on the ash content in the concentrate. In the paper a mathematical model of the separation of the mass of ash at the process of the kinetics of the batch flotation has been proposed. The research at different values of the air flow rate was carried out. The results of the analyses in tables and graphs are shown. The static characteristics of the single-cell of the flow flotation machine based on the characteristics of the distribution density of the fraction f (k) and the distribution of the ash content ak(k) were determined. Knowledge of these relationships will allow for a better assessment of the phenomena occurring in the enrichment process. This may be one of the basic information used in the supervisory control system of the flotation process.

Open access

Adam Heyduk, Krystian Kalinowski, Roman Kaula and Joachim Pielot

Abstract

The paper presents some issues related to the control of fatigue test machines based on W(t) parameter taking into account the simultaneous interaction of stress and strain. This parameter is defined as a product of these values. Such a research method represents a new approach in fatigue testing with an innovative control system. Because of the W(t) function characteristics, the system presents nonlinear behavior and there is a significant deterioration of the control quality and the controlled signal significantly differs from the reference signal waveform. This problem can be solved by introducing a nonlinear block into the feedback loop. Fatigue tests have been carried out for sinusoidal and randomized reference signal waveforms. These tests have proved that the controlled signal follows reference values with an appropriate control quality.