Effect of Diameter Ratio on Loss Coefficient of Elbows in the Flow of Low-Density Spherical Capsule Trains

Abstract

Design parameters of pipelines for capsule flow (i.e., power of pumps, number of pumps, diameters of capsules, diameter of pipe, etc.) can be calculated if pressure drops of such pipelines are estimated. All major and minor losses that incur at various levels depending on the diameter and type of pipeline selected for hydraulic transportation of capsule trains must be compensated for by the pump. For this purpose, the effect of the different diameter ratios (0.8 and 0.72) on the loss coefficient of elbows (at angles of 90 ) in the flow of low-density spherical capsule train was studied experimentally. Relative density of the capsules was 0.87 and their pressure drops were measured at a range of 1.2 Â 10 4 < Re < 1.5 Â 10 5 and for transportation concentrations from 5 to 15%. Results of this experiment indicate that the higher the concentration, the higher the loss coefficient of the elbow. The increment of the elbow loss coefficient is nearly negligible with increasing the bulk velocity for capsule concentrations up to 10%, but is significantly influenced by the capsule concentration. The effect of the different diameter ratios on the loss coefficient of the elbow is negligible for low capsule concentration.

Hydraulic Characterization of a Check Valve for Low-Pressure Potable Water Distribution Applications

“…Subsequently, by equating Equation ( 1) with (4) and rewriting the velocity expression as a function of Equation (5) [29,32], we obtain:…”

Effect of capsule shape on hydrodynamic characteristics and optimal design of hydraulic capsule pipelines

“…The inlet boundary of the flow domain has been modelled as a velocity inlet, where the inlet flow velocity can vary from 1 to 4 m/sec, depending on the operating conditions considered, as considered by many other researchers [19][20][21][22][23][24][25][26][27][47][48][49][50]. The outlet boundary of the flow domain has been modelled as a pressure outlet at atmospheric conditions.…”

“…Combining equations (17,(23)(24) gives the solid throughput as: (25) where Vo c is the volume of a capsule. It is important to note here that V c is calculated using equation (25).…”

“…Ulusarslan et al [19][20][21][22][23][24][25][26][27] have carried out extensive experimental instigations on the transport of capsules of ψ=1 in HCPs for on-shore applications (i.e. horizontal pipelines), developing expressions for capsules' velocity and pressure drop within the HCP.…”