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In a flow-measuring device, what is velocity head?
1. Free rise of the liquid column in an open-ended tube
2. Vertical distance through which a column of the flowing liquid would rise in an open-ended tube
3. Free fall of liquid column to attain a given velocity freely
4. Difference in elevation in the flow direction

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Correct Answer - Option 3 : Free fall of liquid column to attain a given velocity freely

Explanation:

Velocity Head: It is a fundamental concept of fluid mechanics representing the bulk motion, i.e. the fluid’s kinetic energy. It can also be transformed into the pressure that the fluid would obtain where it to be held without any energy loss.

It is measured as

Velocity head = \(\frac {v^2}{2g}\ \ m\) 

Where v = velocity of fluid; g = acceleration due to gravity;

From the expression, it is clear that it is that height which is required to attain a velocity v in under free fall.

Bernoulli's Equation: The theorem displays the conservation of energy in a flow system by linking velocity, pressure, and elevation.

 \(\frac{{{P_1}}}{{\rho g}} + \frac{{V_1^2}}{{2g}} + {z_1} = \frac{{{P_2}}}{{\rho g}} + \frac{{V_2^2}}{{2g}} + {z_2} + {h_f}\)

\(\frac {P}{\rho g}\) = Pressure Head

\(\frac {v^2}{2g}\) = Velocity Head

z2 = Elevation Head

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