Modeling a flow pattern of the granular fill in the cross section of a rotating chamber

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.110444

Keywords:

granular fill, rotating chamber, three-phase flow mode, flow pattern, visualization

Abstract

The efficiency of working processes of machines of the drum type is determined by the mode of flow of the fill in a rotating chamber. But the numerical and experimental results obtained over a recent period approach the actual behavior of the examined medium only in terms of qualitative characteristics.

A mathematical model is built for a three-phase flow mode of granular fill in the cross section of a cylindrical chamber that rotates around the horizontal axis. The analytical-experimental research method is applied. A calculation algorithm is derived that approximately establishes position of the flow regions and the distribution of velocities in the cross sections normal to the flow direction, depending on the kinematic, geometrical, inertial, and rheological parameters of the system.

Based on the performed modeling, the effect of rotation velocity of the chamber on the characteristics of a three-phase flow mode of the fill was determined. We established conditions when mass fractions of the active sliding layer and the region of a non-free fall reach maximal values, while mass fraction of the passive quasi-solid-body region acquires a minimum value. The conditions are determined when thickness and mean velocity of the sliding layer reach a maximum.

We revealed a predominant reduction in thickness, in the average velocity and the shear rate gradient in the normal cross section along the length of the layer. A decrease in the thickness and an increase in the average velocity and the gradient of shear rate of the sliding layer were registered with a decrease in the relative size of the chamber granular fill’s element.

Visualization of flow patterns confirmed a convergence of the calculation results and experimental data within a range of 11–13 %

Author Biography

Yuriy Naumenko, National University of Water and Environmental Engineering Soborna str., 11, Rivne, Ukraine, 33028

Doctor of Technical Sciences, Associate Professor

Department of construction, road, reclamation, agricultural machines and equipment

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Published

2017-10-24

How to Cite

Naumenko, Y. (2017). Modeling a flow pattern of the granular fill in the cross section of a rotating chamber. Eastern-European Journal of Enterprise Technologies, 5(1 (89), 59–69. https://doi.org/10.15587/1729-4061.2017.110444

Issue

Vol. 5 No. 1 (89) (2017): Engineering technological systems

Section

Engineering technological systems

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Copyright (c) 2017 Yuriy Naumenko

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