Calculate the kinetic energy required to drive a fluid of density 0.004kg/m³ through a vertical pipe of height 100m maintained at a pressure of 0.02N/m² and 0.08N/m² at each end respectively
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We use the Bernoulli identity :
E_{kin.} +p_0 = p_1+\rho g hE
kin.
+p
0
=p
1
+ρgh
E_{kin.} = \Delta p + \rho g hE
kin.
=Δp+ρgh
Thus we find the kinetic energy (in a volume unity) :
E_{kin.} = 0.06 + 4= 4.06 \text{ } J/m^3E
kin.
=0.06+4=4.06 J/m
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