The hopper at an Egyptian fertilizer plant caused erratic flow and bridging, disrupting production. The hopper receives phosphate powder from a milling process via a pneumatic conveyor. Feed from the silo must be regulated so that the acidulation process can be correctly proportioned; an unpredictable feed rate makes the process very difficult, if not impossible, to control.
The plant experienced flow problems shortly after start-up with material hang-ups and occasional flushing. Its process equipment supplier, Bradley Pulverizer, installed aeration pads in the hopper to blow low volume air into the powder to encourage material flow. However, this resulted in more uncontrollable flow and flooding of downstream equipment.
The flow regime generated in the hopper, so-called funnel flow, exacerbated the problem. This type of flow arises when the converging wall inclination is too shallow to induce the contents at the walls to slip as the hopper empties. A narrow flow path forms from the outlet to the surface, creating a “last-in, first out” phenomenon, so freshly milled material comes out first; original fill material may remain against the walls for a long time, deteriorating in flowability.
In response, in 2016, Bradley Pulverizer asked Ajax Equipment to find a way to improve flow. Ajax determined the fix was to convert the hopper flow regime to mass flow. This would ensure all hopper contents moved together during discharge so that “first in” material is “first out” and would avoid extended storage time of some of the contents.
Finding The Culprits
A common approach to predicting powder flow behavior is to use a single number as a guide. However, this approach is fraught with problems. For example, there’s no obvious reason why a powder with high friction properties also should have a strong cohesive tendency or vice versa; while the situation for flow may worsen when both these attributes are present, they aren’t necessarily correlated.
A better approach to predicting flow behavior is to use the measured characteristics of wall friction (φ w), shear strength (τ s) and bulk density (ρ b) along with three further factors: hopper or reactor wall angle (β c), outlet size (Dcrit) and Hausner ratio (HR), which is the ratio of tapped to loose bulk density. (As the HR increases, the powder becomes more sensitive to vibration and, hence, its flowability worsens.) These factors enable producing a “spider” diagram comprising a series of three concentric circles divided by axes for each of the characteristics. The smallest diameter circle shows the specific values of the characteristics that provide “easy flow” while the larger diameter circles define “modest” and “poor flow,” respectively. This allows presenting idealized situations for an “easy flow” material and a “poor flow” one with the in-filled part of the “web” detailing the particular characterization attributes.
Spider web diagrams can provide more than a qualitative indication if you can use data from tests on a large number of materials to define the “easy,” “modest” and “poor” flow circles.