Question: An aqueous slurry containing particles with the size distribution shown in the following table is fed to a $20 mathrm{ft}$ diameter settling tank (see, e.g.,
An aqueous slurry containing particles with the size distribution shown in the following table is fed to a $20 \mathrm{ft}$ diameter settling tank (see, e.g., McCabe et al. (1993) or Perry's Handbook for the definition of mesh sizes):
| Tyler Mesh Size | % of Total Solids in Feed |
|---|---|
| $8 / 10$ | 5.0 |
| $10 / 14$ | 12.0 |
| $14 / 20$ | 26.0 |
| $20 / 28$ | 32.0 |
| $28 / 35$ | 21.0 |
| $35 / 48$ | 4.0 |
The feed enters near the center of the tank, and the liquid flows upward and overflows at the top of the tank. The solids loading of the feed is $0.5 \mathrm{lb}_{\mathrm{m}}$ of solids per gallon of slurry, and the feed rate is $50,000 \mathrm{gpm}$. What is the total solids concentration and particle size distribution in the overflow? The density of solids is $100 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$. Assume (1) the particles are spherical, (2) the particles in the tank are unhindered, and (3) the feed and overflow have the same properties as water.
Step by Step Solution
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Lets start 1 Settling velocity calculation Well use Stokes law v g s w d 18 To go further we have to convert some of the mesh sizes into particle diam... View full answer
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