Answer to Question #153055 in Mechanics | Relativity for Obed

Question

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 

Answer 1

We use the Bernoulli identity :

$E_{kin.} +p_0 = p_1+\rho g h$

$E_{kin.} = \Delta p + \rho g h$

Thus we find the kinetic energy (in a volume unity) :

$E_{kin.} = 0.06 + 4= 4.06 \text{ } J/m^3$