Calculate the Reynolds numbers for the flow of water and for air through a 4-mm-diameter tube, if the mean velocity is \(3 \mathrm{~m} / \mathrm{s}\) and the temperature is \(30^{\circ} \mathrm{C}\) in both cases (see Example 1.4). Assume the air is at standard atmospheric pressure.

Example 1.4

A liquid flows through an orifice located in the side of a tank as shown in Fig. E1.1. A commonly used equation for determining the volume rate of flow, \(Q\), through the orifice is
\[
Q=0.61 A \sqrt{2 g h}
\]

where \(A\) is the area of the orifice, \(g\) is the acceleration of gravity, and \(h\) is the height of the liquid above the orifice.

Investigate the dimensional homogeneity of this formula.

Fig. E1.1

Transcribed Image Text:

h (a) (b)