Acompressed-air drill requires an air supply of 0.25 kg/s at gauge pressure of 650 kpa at the drill. the hose from the air compressor to the drill has a 40 mm diameter and is smooth. the maximum compressor discharge gauge pressure is 690 kpa. neglect changes in air density and any effects of hose curvature. air leaves the compressor at 40° c. what is the longest hose that can be used?

L = 46.35 m

Explanation:

GIVEN DATA

\dot m  = 0.25 kg/s

D = 40 mm

P_1 = 690 kPa

P_2 = 650 kPa

T_1 = 40° = 313 K

head loss equation

where

density is constant

head is same so,

curvature is constant so

neglecting minor losses

we know is given as

therefore

V = 25.90 m/s

for T = 40 Degree,

Re = 4.16*10^5 > 2300 therefore turbulent flow

for Re =4.16*10^5 , f = 0.0134

Therefore

L = 46.35 m

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