The discharge of a centrifugal pump is 25 L s⁻¹ against the delivery head of 10 m. The outlet of the delivery pipe is submerged. A 200 m long 100 mm diameter pipe is connected with the delivery end of the pump. The friction factor for the pipe is 0.03. The minor losses in the delivery pipe are 1 m. The pressure at the delivery end of the pump in kPa is ______
Official Answer Key:
411.5 to 412.5
Step-by-Step Solution & Explanation
Pipe velocity V = Q/A = 0.025/(π/4×0.1²) = 3.183 m/s. Darcy-Weisbach friction loss: h_f = fLV²/(2gD) = 0.03×200×3.183²/(2×9.81×0.1) = 30.99 m. Total head to be developed at the pump delivery = static delivery head + friction loss + minor losses = 10+30.99+1 = 41.99 m. Pressure at pump delivery = ρgH = 1000×9.81×41.99 = 411,900 Pa = 411.9 kPa, within the accepted band 411.5–412.5.
Section 6 — Agricultural Process Engineering
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