Mesh filter efficiency in collection of fine sand particles under gravitational deposition
Mesh filtration of sand particles out of water is a crucial process in water irrigation. Considered in this paper is a system wherein fine sand particles randomly distributed in water simultaneously undergo Brownian motion and gravitational creeping flow motion. The motion and deposition of the particles were simulated using Python. Patterns of the deposition of particles were taken at successive time intervals. Additionally, it was found that the Brownian motion of the particles had little to no effect on the fraction of particles captured by the filter. Lastly, an expression relating the fraction of captured particles as a function of size of the filter aperture was obtained to be y = 25373x2 - 287.1x + 0.9858.