The Properties of Combined Horizontal Flows of Air and Farm Livestock Slurries in a Tubular Loop Aerator
Introduction
To design efficient pipeline transport systems for farm livestock slurries, the rheological properties, (i.e. relationships between shear stress and shear rate) must be known. Systems for handling and transporting such slurries have been widely used for many years. Nevertheless, designers of these systems are still without a good procedure for deciding these essential property parameters.
Many farm slurries are known to exhibit non-Newtonian flow characteristics (Hashimoto & Chen, 1975). Non-Newtonian properties lead to non-linear relationships between shear stress and shear rate. Previously, it has been found that relationships between shear stress and shear rate for farm livestock slurries can be expressed by a power law (Hashimoto & Chen, 1975):where: is the shear stress at the pipe wall in Pa; is the shear rate in s−1; and K and n are characteristic constants for the fluid. Consequently, it may be more energy-efficient, under certain circumstances, to pump at high velocities and thereby to take advantage of the lower viscosity that ensues. Similar effects may be created by injecting air into the flow. To investigate the effects that air injection has on the rheological properties of farm livestock slurries, experiments with pig slurries and dairy cattle slurries were undertaken in a Tubular Loop Aerator apparatus (TLA), of the type previously described by Cumby and Slater (1984). This type of apparatus had already exhibited good aeration performance in other applications (Russell et al., 1974; Ziegler et al., 1980) and offered the advantage of a plug flow reactor, a device that has been used for the treatment of industrial and domestic sewage in pumped mains (Boon et al., 1977; Newcomb et al., 1979; Carne et al., 1982). More importantly, this apparatus permitted the establishment of defined hydrodynamic conditions, and generation of a variety of shear rates. Using the TLA, the objectives of this study were to develop and assess a simple technique for the presentation and interpretation of multi-phase flow data and to complete a series of experiments to investigate the specific horizontal flow properties of mixtures of air and farm livestock slurries with a view to possible energy saving. As a precursor, experiments were completed with water and air to provide data representing Newtonian fluids with reproducible physical characteristics.
Section snippets
Construction of the apparatus and instrumentation
The TLA apparatus is shown diagrammatically in Fig. 1. The liquids tested were mixed and stored in one of two similar vessels (A and B) which each had a volume of 2·7 m3. These vessels were mounted on load cells so that their contents could be monitored. Each was fitted with sampling valves and a variable speed mixing impeller (C, D). Liquid could be withdrawn from either vessel via a system of pipes and valves (E), using a variable speed progressing cavity pump (F). The liquid flow was measured
Pressure gradients for single-phase airflow
Data representing the measured pressure gradients for single-phase flows of air are shown in Fig. 3 and are grouped according to the pressure at which the air was introduced to the TLA. The airflow rates are all expressed at atmospheric pressure and show that the measured pressure gradients were a function of the air supply pressures. To enable these data to be used in the subsequent interpretation of the two-phase flow data, similar sets of air pressure values were used during the experiments
Conclusions
A previously published analytical technique based on dimensionless pressure gradient ratios provided a satisfactory method to describe and compare the pipeline pressure loss characteristics of two-phase flows of water and air and three-phase flows of farm livestock slurries and air.
The injection of air into pig slurries containing less than 3·5% total solids (TS) produced pressure gradients which were consistently higher than those of the slurries flowing alone. Thus, in these dilute slurries,
Acknowledgements
The authors gratefully acknowledge the technical assistance of colleagues at Silsoe Research Institute, especially Mrs Sue Dimmock and the staff of the Analytical Laboratory, plus Mr Les Hartshorn and other members of the Instrumentation Department. Thanks also go to Dr John Morken of the Agricultural University of Norway, and to Professors Bill Day and Brian Legg at Silsoe Research Institute for their facilitation of this research and for their helpful comments. This research was funded by the
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