[malpha]

I need help writing the formulas for how long (resident time) does it take for one particle to move from one far side of a tube filled with salt water to the other side (width to width), due to all various physical and chemical forces and effects (such as centrifugal forces, adhesion and cohesion and drag coefficients, surface smoothness or roughness, fluid viscosity, density, Brownian forces, Gaussian laws, etc.), given these facts and variables;

1. Particle size: up to 100 microns
2. Particle density: about 1.1 kilos/liter
3. Balance of tube: filled with salt/saline water (1.025 kilos/liter)
4. The tube is a spiral (coil, shaped like a spring and could be from one layer thick to 100s of layers thick), with the following variables:
a. Tube diameter (inside dimensions): from 0.1 cm to 3.0 cm
b. Tube spiral dimensions:
i. Width of spiral (diameter of layer/one revolution of the spiral): 5 cm to 100 cm
ii. Height/length of spiraled tube (number of layers multiplied by the thickness of the tube, assuming no space between the layers): dependent variable, dependent on time to move the particle across the width of the tube
c. Velocity/flow rate of mixture in tube: from 0.1 liters/minute to 100 liters/minute
d. Shape: round or square or rectangular (if the shape impacts performance, then this needs to be a variable input also.)

i am not an engineer or a computer person, but I think smooth particle hydrodynamics formulas can do this? I need the formula, preferably in Excel. I do not need visual outputs.

[fishball]

You could try to discrete phase model (DPM) and check the particle time in Fluent

[strongrj13]

DPM would be the most straightforward way to do this, but can get computationally expensive.

If you have any questions as you are going through it or need any help send me an email.

robert.strong@strongsimulationconsulting.com

Regards,

Robert Strong