Calculate the terminal settling velocity of sand particles t

Calculate the terminal settling velocity of sand particles that are 240 m in diameter with a density of 2.65 g/cm3. The water temperature is 18°C If you perform any iterations, tabulate the pertinent values (Cd, R, v) at each iteration cycle.

Solution

Solution:-   

Given

Density of sand = 2.65 g/cm³

Density of water (_a) = 1 g/cm³

D = 240 µm

D = 240 *10^-4 cm

g = 980 cm/s

C_D = 0.4     for turbulent flow

Settling Velocity (V_s ) = (4/3 * (_d – _w)/_w * gD/C_D)

Settling velocity (V_s) = (4/3 * (2.65 – 1)/1 * 980*240*10^-4/0.4)

Settling Velocity (V_s) = 11.37 cm/s     Answer