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The flow rate of water from a tap of dia...

The flow rate of water from a tap of diameter `1.25 cm` is `3` L per min. The coefficient of viscosity of water is `10^(-3)` pa-s. Characterize the flow.

A

Unsteady

B

Turbulent

C

Laminar

D

None of above

Text Solution

Verified by Experts

The correct Answer is:
B
Here, diameter of the tap,
`D=1.25 cm = 1.25xx10^(-2) m`
Density of water, `rho=10^(3) kg m^(-3)`
Coefficient of viscosity, `eta=10^(-3) Pa s`
Volume of water flowing out per second is
`Q=3 L "per min"=(3xx10^(-3) m^(3))/(60 s)=5xx10^(-5) m^(3) s^(-1)`
Reynolds number is given by
`R_(e)=(4rhoQ)/(piDeta)=(4xx10^(3) kg m^(-3)xx 5xx10^(-5) m^(3) s^(-1))/(3.14xx1.25xx10^(-2) m xx 10^(-3) Pa s)`
`=5095 gt 2000`
Thus, the flow will be turbulent.
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