Elementary Solutions

2.2.1 Uniform Flow

The uniform flow V«, = (U, 0) is represented by the leading term of the full potential and stream functions:

Ф = Ux, Ф = Uz (2.17)

A sketch of the solution is shown in Fig.2.3.

The uniform flow = (0, W) is represented by the leading term of the full potential and stream functions:

Ф = Wz, Ф = – Wx (2.18)

A sketch of the solution is shown in Fig.2.4.

A uniform flow in an arbitrary direction can be obtained by the superposition of these two elementary solutions.

Fig. 2.3 Uniform flow: equipotential lines and streamlines

Fig. 2.4 Uniform flow: equipotential lines and streamlines