Generally it is the volume flow rate which is the most important
quantity to be measured and from this it is possible to calculate a mean
flow velocity across the full flow area, but in some cases it is also
important to know the velocity at a point. A good example of this is in
a river where it is essential for the captain of a boat to know whatstrength of
current to expect at any given distance from the bank;
calculating a mean velocity from the volume flow rate would not be
much help even if it were possible to measure the exact flow area over
an uneven river bed.
It was exactly this problem which led to one of the most common
velocity measurement devices. A French engineer called Pitot was given
the task of measuring the flow of the River Seine around Paris and
found that a quick and reliable method could be developed from some
of the principles we have already met in the treatment of Bernoulli’s
equation. Figure 3.2.17 shows the early form of Pitot’s device.
The horizontal part of the glass tube is pointed upstream to face the
oncoming liquid. The liquid is therefore forced into the tube by the
current so that the level rises above the river level (if the glass tube was
simply a straight, vertical tube then the water would enter and rise until
it reached the same level as the surrounding river). Once the water has
reached this higher level it comes to rest.
What is happening here is that the velocity head (kinetic energy) of
the flowing water is being converted to height (potential energy) inside
the tube as the water comes to rest. The excess height of the column of
water above the river level is therefore equal to the velocity head of the
flowing water.