New Mode of Column Settling Data Analysis

Abstract

The modes of conventional analysis of ‘column settling data’ differ with nature of suspension. The methods are inadequate. The inadequacies are pointed out. A single method without any consideration to the nature of suspension and without any assumption is presented. The applications are illustrated with actual analysis of laboratory settling data.

Notations

${C}_{D,t}$ :

Concentration of solids at depth D at time t

${C}_0$ :

Initial concentration of solids

${X}_{T,}{x}_T$ :

Total fractional removal of solids

${X}_{0,\;}{x}_0$ :

Fraction of solids having settling velocity ${v}_s\le {v}_0$, the overflow velocity

$c,C$ :

Concentration of solids

${t}_i$ :

Any particular time ${t}_i$

$t$ :

Any time

$d,D$ :

Depth

${X}_{D,t}$ :

Fraction of particles having settling velocities D/t or more

$h$ :

Height of the suspension

$\mathrm{h1}\mathrm{etc.}$ :

Intercept of the cylinder In between two interface surfaces