Need help with the following Fluid mechanics problem. Any help is appreciated.?

Posted on 2016-04-11 18:44:00 in Engineering by NICK GARY

A certain compressed–air tool consumes Ë™m = 0.4 kg/s of air supplied at a minimum 
pressure of PT = 700 kP a (around 101 psi). An available compressor can furnish this flow 
at a supply pressure of PC = 750 kP a. The tool can be connected to the compressor with 
a hydrodynamically smooth hose of inner diameter D = 0.03 m. Assume approximate values 
of density and viscosity of the compressed air of ρ = 9 kg/m3 and µ = 2 × 10−5 kg/(m · s), 
respectively. Neglecting any changes in density and assuming fully–developed flow, estimate 
the maximum operational length of hose, L, that can be used if pressure drop is due mainly to friction of the air flow.

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