I'm trying to calculate the settling velocity of particles traveling through a horizontal section of pipe. I've not been able to find information about settling velocities in moving fluids, only still fluids.
- Assuming laminar flow, is the settling rate of a given particle the same in a moving fluid as it is in a still fluid?
- Am I able to apply Stokes' law?
- Are there other/better laws or research which I can use to calculate settling velocities in this circumstance?
The context is that I'm trying to build a device which accept sediments of a roughly uniform size and removes materials of a low density (for instance, if I have a mixture of quartz and platinum, I'd like to remove the quartz and keep the platinum). This is accomplished by allowing the material to settle in a horizontal section of pipe. The length and width of the pipe are constant, and the flow rate is adjusted according to the composition of our material.
I know that someone else has built such a device, and they calculated that at a rate of 10 gallons/minute through a 2" pipe, gold would settle within 9". I believe this was using a 200 mesh (.075 mm diameter) particle with a Corey's Shape Factor of .25, but I'm not certain. I'd like to be able to verify this work & calculate it for other circumstances.