In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) is?a)23.23b)2.326c)88.3d)63.56Correct answer is option 'B'. Can you explain this answer?

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In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m³/s. The power required to maintain the flow (in KW) is?

a)
23.23
b)
2.326
c)
88.3
d)
63.56

Correct answer is option 'B'. Can you explain this answer?

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In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific...

Given,

Length of pipe, L = 250 m

Diameter of pipe, D = 0.18 m

Dynamic viscosity μ = 0.15 m3/s

Flow rate, Q = 0.04 m3/s

The pressure drop in pipe is given by

V_avg = Q/A = 4 × 0.04/π × 0.18² = 1.57 m/s

∆P =

= 58148.15 N/m²

The power required to maintain the flow,

P = Q ×∆P = 0.04 × 58148.15 = 2325.926 W = 2.326 KW

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In a 0.18 m, 250 m long horizontal pipe a lubricating oil of specific gravity 0.9 and dynamic viscosity 0.15 Pa-s is pumped at the rate of 0.04 m3/s. The power required to maintain the flow (in KW) is?a)23.23b)2.326c)88.3d)63.56Correct answer is option 'B'. Can you explain this answer?

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