Mathematical Model of the Piped Vehicle Motion in Piped Hydraulic Transportation of Tube-Contained Raw Material

Abstract

The piped hydraulic transportation of tube-contained raw material is an emerging technique for transporting materials. In this technique, the piped vehicle is one of the core components, and its motion characteristics directly determine the transportation energy consumption and the transportation cost of this technique. To study the motion characteristics of the piped vehicle, the force of the piped vehicle was analyzed from the mechanical perspective in this paper. On the assumption that the piped vehicle moved steadily and it had sufficient stiffness, the mathematical model of the piped vehicle motion was established in the turbulent flow according to the stress characteristics of the piped vehicle and the factors influencing its motion characteristics, and then the mathematical model was tested by experiments. The findings show that the calculated values of the velocities of the piped vehicle were identical to the experimental values with changes in various influencing factors. When the flow discharge, the diameter or length of the piped vehicle increased, or the mass of transported material decreased, the velocity of the piped vehicle increased. The maximum relative error did not exceed 9.47%, which proved that the mathematical model of the piped vehicle motion was rational. The results can provide theoretical basis to improve the structure of the piped vehicle and the piped hydraulic transportation technique of tube-contained raw material.

Numerical Simulation of the Flow Field Characteristics of Stationary Two-Pipe Vehicles under Different Spacings

“…The results show that the changes in the flow rate and the diameter of the pipe vehicle only change the velocity value of the annular gap flow and do not change its distribution law. Li, Feng and Zhang et al [31][32][33] carried out a numerical simulation on a cylindrical piped vehicle moving in a straight pipe section; it was found that the axial flow velocity of the upstream and downstream sections was larger at the inner wall of the pipe, the flow velocity near the center of the pipe was smaller, and the radial flow rate tended to increase first and then decrease from the inner wall to the center of the pipe, while the circumferential velocity was symmetrically distributed near the support of the cylinder pipe vehicle.…”

“…The accuracy of the formula was verified by comparing it with the experimental results. Li, Wang and Jing et al [23][24][25][26] analyzed the factors affecting the transportation of a pipe vehicle through physical experiments. The results show that the transportation speed of the pipe vehicle is affected by the flow in the pipeline, the diameter of the pipe vehicle, the length of the pipe vehicle and the transportation load.…”

Numerical Simulation of Flow Velocity Characteristics during Capsule Hydraulic Transportation in a Horizontal Pipe

“…Agarwal et al [18][19][20] analyzed the effects of the size of the capsule structure on the movement of the capsule and concluded that the ratio of capsule diameter to pipe diameter had the most significant effect on the movement speed of the capsule. Li et al [21][22][23] studied the movement characteristics of the capsule under different length-diameter ratios, flow discharges, and transporting load conditions, established a movement model of the capsule under various influencing factors, and analyzed the energy consumption of the capsule in the process of transporting materials. Ulusarslan and Teke [24,25], as well as Ulusarslan [16], studied the pressure drop of flow during the movement of a low-density spherical capsule and analyzed the relationship between the pressure drop of flow and the density of the capsule.…”

Study on the velocity characteristics of spiral flow in pipeline with different numbers of guide bars installed on the surface of the piped vehicle body

“…Zhang et al, 15 Wu et al 16 studied the characteristics of concentric annular gap flow during the movement of piped vehicle with different diameters, and the results showed that the axial flow velocity increased at first and then reduced from the outer wall of the piped vehicle to the inner wall of the pipe. Li et al 17,18 studied the movement characteristics of the piped vehicles under different length-diameter ratios, different flow discharges and different transport loads conditions, and analyzed the transportation energy consumption during the transportation of materials by the piped vehicle. In a word, the current studies on the piped hydraulic transportation of tube-contained raw material mainly focuses on the pressure and velocity characteristics of the flow in the pipeline and the moving speed of the piped vehicle during the transportation of materials by the piped vehicle without the guide bars.…”