An incompressible (? = constant) liquid flows steadily through a conduit of circular cross-section and increasing diameter. At location 1, the diameter is 2.5 cm and the velocity is 
; at location 2, the diameter is 5 cm.
(a) What is the velocity at location 2?
(b) What is the kinetic-energy change 
of the fluid between locations 1 and 2?
a. For an incompressible fluid flowing steadily, a mass balance reduces to flow in = flow out, or 
or 
In this case, the diameter increases by a factor of two, so the cross-sectional area increases by a factor of 4, so 
b. The change in kinetic energy (per unit mass) is just the change in 
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