Shallow Depth Settling

Abstract

With an introductory presentation of the salient literature review on ‘shallow-depth sedimentation’, this chapter presents complete theory of ‘high-rate settling system’ without the application of ‘Velocity Profile Theorem’.

Notations

x,y :

Two-dimensional coordinates

x,y,α :

Three-dimensional coordinates

X :

Coordinate axis in the direction of flow

Y :

Coordinate axis in direction normal to the direction of flow;

also $X=\frac{x}{d},Y=\frac{y}{d}$

L,1 :

Length of the tube; also $L=\frac{l}{d}$

R :

Radius of the tube cross section

θ :

Inclination of the tube with horizontal

Q :

Rate of flow

${v}_0$ :

Average velocity through the tube cross section

${v}_s$ :

Settling velocity of the particle