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After heavy rain, water flows on a concrete surface at an average velocity of 1.3 m/s. If the water depth is 2 cm, determine whether the flow is subcritical or supercritical.

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xero099

Answer:

Supercritical flow.

Explanation:

The Froude number is an useful indicator to determine if flow is subcritical, critical or supercritical, whose formula for an open channel is:

[tex]Fr = \frac{v}{\sqrt{g\cdot y} }[/tex]

Then:

[tex]Fr = \frac{1.3\,\frac{m}{s} }{\sqrt{(9.807\,\frac{m}{s^{2}} )\cdot (0.02\,m)} }[/tex]

[tex]Fr= 2.935[/tex]

Which is greater than 1 and, therefore, the flow is supercritical.

ofentsemaphalla

Answer:

The flow is super critical

Explanation:

The average velocity of flow is given, V= 1.3 m / s.

Depth of flow, y= 2 cm= 0.02 m

Suppose the flow is in a small rectangular channel.

The number Froude, [tex]Fr = \frac{V}{\sqrt{gy} }[/tex].

The strength of gravity, g= 9.81 m / s^2,

Replaces the identified values.

[tex]Fr = \frac{1.3 m/s}{\sqrt{(9.81m/s^{2})(0.02 m) }}[/tex]

= 2.935

We recognize that the open channel flow is super critical, if the Froude number, Fr > 1.

And the flow is super critical.

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