Residual of the Assorted Solids Through Shallow Depth Settler

Abstract

Based on the settling data of raw water suspension, a methodology to compute the residual concentration of solids through a tube settler is developed herein. Laboratory settling data has been employed to illustrate the numerical application of the methodology to work out the effluent concentration of solids through a given tube settler carrying the raw water suspension at a given rate.

Notations

L :

Length of tube settler

2R :

Tube diameter

θ :

Inclination of the tube with horizontal

Q :

Flow rate

w :

Width of the vertical strip

${\alpha}_i$ :

Distance of the central line of the i-th strip from the vertical diameter of the tube

${v}_s$ :

Settling velocity of particles

${f}_{y,\alpha }$ :

Flow velocity at (y,α) of tube cross section

${u}_{y,\alpha }$ :

Profile velocity at (y,α) of tube cross section

${C}_s$ :

Concentration of solid particles with settling velocity

${v}_{ci}$ :

Critical velocity for particles flowing through the i -th strip

${y}_{1i}$ :

‘y’-coordinates of the particles entering through the i-th strip and just reaching the bottom travelling through the entire length L of the tube settler

${y}_{2i}$ :

Particle entering through ${y}_{1i}$ and settles to the bottom at ${y}_{2i}$