Power Scale-Up for Agitating Slurries

An interesting problem with which the senior author has been concerned with is the scale-up of power requirements for slurry agitators operating in the laminar region with pseudo-plastic materials. Pulps of shaly ores, after various chemical reactions in aqueous leaching systems, are often difficult to settle and filter if agitation is violent. In these cases agitation must be at a minimum, yet prevent tling such as in copper uranium ores. This mild agitation is on the laminar region.

The starting point of this investigation is the known relationships for agitating Newtonian fluids. The Reynolds number is a measure of similitude in agitation and is derived from the ratio of the internal reaction per unit volume of fluid (V²D) and a viscous force present per unit of volume (µV/D²).

For flow through pipes, this is:

RE = P V²/D/µ V/D² = D V P/µ

where: RE = Reynolds numbers
D = diam. of pipe
V = velocity
p = specific gravity
µ = viscosity

all in consistent units.

For agitation, velocity is the speed at the tip of the impeller. If N is agitator revolutions per second, then: π D N = V. Since π is a constant, the Reynolds number of agitation becomes:

RE = N D² p/µ

NP = P g/p N³D5

Where P = net power input, ft-lbs/sec
g = gravity constant, ft/sec²
f = specific gravity of fluid with respect to water
N = revolutions/sec.
D = diameter of impeller in feet.

 

agitating slurries constants for calculating power consumption

Ore, slurries are non-Newtonian, and, for the most part, pseudo-plastic. This means that the apparent viscosity constantly varies as the rate of shearing (agitation) varies. The calculation of the Reynolds number is more difficult, because of the variable apparent viscosity.

We could not test the coal slurry in the same manner as the iron ore slurry because we could not clearly discern a settling line. We found a 50% by weight slurry of anthracite coal ground to 17% minus 150-mesh apparently settled quickly because viscosity readings increased rapidly for the.10 minutes tested. On the other hand, when testing a 5.0% slurry ;made up of coal ground to 55% minus 150-mesh, we obtained consistent readings for ten minutes. This indicates at worst, a slow settling rate.

agitating slurries data

agitating slurries illustration of difference

 

power scale-up for agitating slurries in the laminar region

By |2019-09-09T14:13:18-04:00September 5th, 2019|Categories: Mechanical & Maintenance|Tags: |Comments Off on Power Scale-Up for Agitating Slurries

BUY Laboratory & Small Plant Process Equipment

We have all the laboratory and plant equipment you need to test or build/operate your plant.

ENTER our Mining Equipment' Store

We Sell EQUIPMENT for all types of Mineral Treatment PROCESSES and Laboratory Testing needs

Do you need METALLURGICAL TESTING of your ORE?

View the Services we Provide

911Metallurgist Mineral Processing & Process Development Laboratory

We have a metallurgical test for every possible mineral type and treatment.

Need ENGINEERING Services or Plant TROUBLESHOOTING?

We can IMPROVE ALL PLANTS / Mineral Processing Engineering & LABORATORY Ore Testing

911Metallurgy Engineering

Contact us for process engineering, metallurgical investigations, plant optimization, plant troubleshooting, needs. WE “FIX” METALLURGY.

I Need Consulting Engineering Help
I Need Ore Laboratory Testing