You are required to design an aerocyclone to remove as much dust as possible from the exhaust coming from a rotary drier. The gas is air at $100^{\circ} \mathrm{C}, 1 \mathrm{~atm}$, and a rate of $40,000 \mathrm{~m}^{3} / \mathrm{h}$. The effluent from the cyclone will go to a scrubber for final cleanup. The maximum loading to the scrubber should be $10 \mathrm{~g} / \mathrm{m}^{3}$, although $8 \mathrm{~g} / \mathrm{m}^{3}$ or less is preferable. Measurements on the stack gas indicate that the solids loading from the drier is $50 \mathrm{~g} / \mathrm{m}^{3}$. The pressure drop in the cyclone must be less than $2 \mathrm{kPa}$. Use the Stairmand standard design parameters from Table 13.1 as the basis for your design.

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TABLE 13.1 Standard Designs for Reverse Flow Cyclones Ref. Duty D a/D b/D DJD S/D h/D H/D B/D K Q/D (m/h) I High n 1 0.5 0.2 0.5 0.5 1.5 4.0 0.375 6.4 3,500 2 High n 1 0.44 0.21 0.4 0.5 1.4 3.9 0.4 9.2 4,940 3 Gen 1 0.5 0.25 0.5 0.625 2.0 4.0 0.25 8.0 6,860 2 Gen 1 0.5 0.25 0.5 0.6 1.75 3.75 0.4 7.6 6,680 1 High Q 1 0.75 0.375 0.75 0.875 1.5 4.0 0.375 7.2 16,500 2 High Q 1 0.8 0.35 0.75 0.85 1.7 3.7 0.4 1.0 12,500