if the mass flow rate of water through a 6 inch diameter pipe is 8 kg/s, then what is the velocity of the water?

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19-12-2022
Physics

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if the mass flow rate of water through a 6 inch diameter pipe is 8 kg/s, then what is the velocity of the water?

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kjuli1766 kjuli1766 · Answer 1 · 2022-12-22T11:45:39-05:00

The velocity of the water is 0.4383m/s.

Industries require accurate mass flow measurement for smooth control of various operations. Plant efficiency and product quality also depend on the liquid mass flow rate. Mass flow measurement is always recommended for precision measurements because mass is neither created nor destroyed and mass flow rate is not affected by temperature or pressure changes during the process. Velocity is a measure of the speed of liquid movement per unit of time. Mass flow rate is related to the amount of fluid flowing through a passage per unit time.

Mass flow rate of water= 8 kg/s

Diameter of pipe=6 inch=0.1524m

now

velocity(V) of water=m/ρA

Where m=mass

ρ=density of water

A= cross section area

[tex]V= \frac{m}{ρ*\frac{\pi d^{2} }{4} }[/tex]

[tex]V= \frac{8}{1000*\frac{\pi (0.1524)^{2} }{4} }[/tex]

V=0.4383m/s

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