Educ. Reso. for Part. Techn. 014Q-Rhodes
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Copyright © 2001 Martin Rhodes, Licensed to ERPT

Pneumatic Transport of Powders, by Martin Rhodes

-- 6: Dense phase transport --


6.1: Flow Patterns

As pointed out in the introduction to this chapter, there are many different definitions of dense phase transport and of the transition point between dilute phase and dense phase transport. For the purpose of this section dense phase transport is described as the condition in which solids are conveyed such that they are not entirely suspended in the gas. Thus, the transition point between dilute and dense phase transport is saltation for horizontal transport and choking for vertical transport.

However, even within the dense phase regime a number of different flow patterns occur in both horizontal and vertical transport. Each of these flow patterns has particular characteristics giving rise to particular relationships between gas velocity, solids flowrate and pipeline pressure drop. In Figure 12 for example, five different flow patterns are identified within the dense phase regime for horizontal transport.


Fig. 12: Flow patterns in horizontal pneumatic conveying

  The continuous dense phase in which the solids occupy the entire pipe is virtually extrusion. Transport in this form requires very high gas pressures and is limited to short straight pipe lengths and granular materials (which have a high permeability).

Discontinuous dense phase flow can be divided into three fairly distinct flow patterns. Discrete plug in which discrete plugs of solids occupy the full pipe cross section. "Dune" flow in which a layer of solids settled at the bottom of the pipe move along in the form of rolling dunes. A hybrid of discrete plug flow and dune flow in which the rolling dunes completely fill the pipe cross-section but in which there are no discrete plugs (also known as plug flow).

Salating flow is encountered at gas velocities just below the saltation velocity. Particles are conveyed in suspension above a layer of settled solids. Particles may be deposited and re-entrained from this layer. As the gas velocity is decreased the thickness of the layer of settled solids increases and eventually we have 'dune' flow.

It should be noted firstly that not all powders exhibit all these flow patterns and secondly that within any transport line it is possible to encounter more than one regime.

The main advantages of dense phase transport arise from the low gas requirements and low solids velocities. Low gas volume requirements generally mean low energy requirements per kilogram of product conveyed, and also mean that smaller pipelines and recovery and solids/gas separation are required. Indeed in some cases, since the solids are not suspended in the transport gas, it may be possible to operate without a filter at the receiving end of the pipeline. Low solids velocities mean that abrasive and friable materials may be conveyed without major pipeline erosion or product degradation.

It is interesting to look at the characteristics of the different dense phase flow patterns with a view to selecting the optimum for a dense phase transport system. The continuous dense phase flow pattern is the most attractive from the point of view of low gas requirements and solid velocities, but has the serious drawback that it is limited to use in the transport of granular materials along short straight pipes and requires very high pressures. Saltating flow occurs at a velocity too close to the saltation velocity and is therefore unstable. In addition this flow pattern offers little advantage in the area of gas and solids velocity. We are then left with the so-called discontinuous dense phase flow pattern with its plugs and dunes. However, performance in this area is unpredictable, can give rise to complete pipeline blockages and requires high pressures. Most commercial dense phase transport systems operate in this flow pattern and incorporate some means of controlling plug length in order to increase predicability and reduce the chance of blockages.

It is therefore necessary to consider how the pressure drop across a plug of solids depends on its length. Unfortunately contradictory experimental evidence is reported in the literature. Konrad (1986b) points out that the pressure drop across a moving plug has been reported to increase (a) linearly with plug length, (b) as the square of the plug length and (c) exponentially with plug length. A possible explanation of these apparent contradictions is reported by Klintworth and Marcus (1985) who cite the work of Wilson (1981) on the effect of stress on the deformation within the plug.

Large cohesionless particles (typically Geldart Group D particles) give rise to a permeable plug permitting the passage of a significant gas flow at low pressure drops. In this case the stress developed in the plug would be low and a linear dependence of pressure drop on plug length would result.

Plugs of fine cohesive particles (typically Geldart Group C) would be virtually impermeable to gas flow at the pressures usually encountered. In this case, the plug moves as a piston in a cylinder by purely mechanical means. The stress developed within the plug is high. The high stress translates to a high wall shear stress which gives rise to an exponential increase in pressure drop with plug length.

Thus it is the degree of permeability of the plug which determines the relationship between plug length and pressure drop. The pressure drop across a plug can vary between a linear and exponential function of the plug length depending on the permeability of the plug.

Large cohesionless particles form permeable plugs and are therefore suitable for discontinuous dense phase transport. In other materials, where interaction under the action of stress and interparticle forces give rise to low permeability plugs, discontinuous dense phase transport is only possible if some mechanism is used to limit plug length, avoiding blockages.


6.2: Equipment

In commercial systems, the problem of plug formation is tackled in three ways:

(i) Detect the plug at its formation and take appropriate action to either

a) use a bypass system in which the pressure build-up behind a plug causes more air to flow around the by-pass line and break up the plug from its front end. (Figure 13)


Fig. 13: Dense phase conveying system using a bypass line to break up plugs of solids.
 
b) detect the pressure build-up using pressure actuated valves which divert auxiliary air to break up the plugs into smaller lengths. (Figure 14)


Fig. 14: Dense phase conveying system using pressure-actuated valves
to direct gas to break up plugs of solids.

ii. Form stable plugs - stable plugs of granular material do form naturally under certain conditions (Konrad, 1986a). However, to form stable plugs of manageable length of other materials, it is generally necessary to induce them artificially by one of the following means:
a) use an air knife to chop up solids fed in continuous dense phase flow from a blow tank. (Figure 15)


Fig. 15: Solids plug formation using timer-operated air knife

b) use an alternating valves system (Figure 16) in order to cut up the continuous dense phase flow from the blow tank.


Fig. 16: Solids plug formation using alternating valves (valves 1 and 2 open
and close alternately to create plugs of solids in the discharge pipe.

c) for free-flowing materials it is possible to use an air operated diagram in the blow tank to create plugs. (Figure 17)


Fig. 17: Solids plug formation using air-operated diaphragm

d) a novel idea reported by Tsui (1983) uses table tennis balls to separate solids into plugs (Figure 18).


Fig. 18: Schematic of the table tennis ball system of Tsui (1983)
 

iii. Fluidization - add extra air along the transport line in order to maintain the aeration of the solids and hence avoid the formation of blockages.

Whatever the mechanism used to tackle the plug problem, all commercial dense phase transport systems employ a blow-tank which may be with fluidizing element (Figures 19 and 20) or without (Figure 21).


Fig. 19: Dense-phase transport blow tank with fluidizing element


Fig. 20: Twin blow tanks equipped with fluidizing pads at the bottom


Fig. 21: Blow tank without fluidizing element

Video 6 [25M, 116 min to download at 28.8kbaud]:
Powder Flow in Blow Tank Operation

The blow tank is automatically taken through repeated cycles of filling, pressurising and discharging (see Video 6). Since one third of the cycle time is used for filling the blowtank, a system required to give a mean delivery rate of 20 tonnes/hour must be able to deliver a peak rate of over 30 tonnes/hour. Dense phase transport is thus a batch operation because of the high pressures involved, whereas dilute phase transport can be continuous because of the relatively low pressures and the use of rotary valves. The dense phase system can be made to operate in semi-continuous mode by the use of two blow tanks in parallel. In some cases where it is necessary to transfer solids over short horizontal distances, an air slide is used. In this device, solids are fed on to a porous membrane, through which air is passed to fluidize the solids. This allows the solids to flow easily even when the membrane is inclined at only 4 or 5 degrees to the horizontal (Figure 22 and Video 7).


Fig. 22: (a) Air slide used to feed solids from a hopper to a blow tank.
(b) Fluidizing the solids permits their transport down a slight incline.

Video 7 [11M, 51 min to download at 28.8kbaud]:
Powder Suspension in an Ar Slide

 

6.3: Design for dense phase transport

Whereas dilute phase transport systems can be designed, albeit with a large safety margin, from first principles together with the help of some empirical correlation, the design of commercial dense phase systems is largely empirically based. Although in theory the equation for pressure drop in two phase flow developed earlier in this chapter (Equation 15) may be applied to dense phase flow, in practice it is of little use. Generally a test facility which can be made to simulate most transport situations is used to monitor the important transport parameters during tests on a particular material. From these results, details of the dense phase transport characteristics of the material can be built up and the optimum conditions of pipe size, air flowrate, and type of dense phase system can be determined. Commercial dense phase systems are designed on the basis of past experience together with the results of tests such as these. Details of how this is done may be found in Mills (1990).

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