Question
The law of mass conservation (or mass continuity equation) in a system states that between two cross sections of a system and for an incompressible
The law of mass conservation (or mass continuity equation) in a system states that between two cross sections of a system and for an incompressible fluid, and where no leaks or flow diversions are present, the volumetric flow rate of the fluid displaced shall be constant. The law however does not assume that the density of the fluid is constant and the latter may need to be adjusted to account for phase separation mechanisms. A system is composed on the left hand side of a cylindrical pipe of diameter 10 cm (Cross sectional area 1), connected to another cylindrical pipe of diameter 5 cm on the right hand side (Cross sectional area 2), through a simple and short reducter, where sewage water is flowing. The water density on the cross sectional area 1 is 1.25 kg/L due to a high natural organic matter loading. How would the velocity of the fluid at the area 2 be compared to that in area one, provided that the density of the liquid has been reduced by 20 % along the pipe length between cross sections 1 and 2 due to surface fouling?
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