Subtopic: Fluidization of granular solids – pneumatic, bucket, screw and belt conveying
Question Statement:
The theoretical volumetric flow rate of a horizontal screw conveyor is 1500 m³ h⁻¹. The conveyor screw diameter is 1.2 m and the shaft diameter is 0.6 m. The rotational speed of the screw conveyor is 50 rpm. The pitch of the screw in mm is
Options:
(A) 150
(B) 340
(C) 590
(D) 950
Official Answer Key:
C
Step-by-Step Solution & Explanation
Theoretical capacity of a screw conveyor: Q = A·p·N, where A = (π/4)(D²−d²) is the annular flow area, p = pitch, N = rotational speed (rev/s). A = (π/4)(1.2² − 0.6²) = (π/4)(1.44−0.36) = (π/4)(1.08) = 0.8482 m². Q = 1500/3600 = 0.4167 m³/s. N = 50/60 = 0.8333 rev/s. p = Q/(A·N) = 0.4167/(0.8482×0.8333) = 0.4167/0.7069 = 0.5895 m = 589.5 mm ≈ 590 mm, matching option (C).
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