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Doublet
A doublet is obtained when a source (Q, – a) and a sink (-Q, a) located symmetrically along the x-axis are merged at the origin following the limiting process
Fig. 2.5 Source: equipotental lines and streamlines
Fig. 2.6 Doublet: equipotential lines and streamlines
The results for the velocity components are
– D cos в – D sin в
Vr = , Ve =
r
 |
 |
where D is the strength of the doublet, D = lima^o, qaQ The results for the potential and stream functions are
The equipotential lines and streamlines are circles, tangent at the origin to the z-axis for the former and to the x-axis for the latter. See Fig. 2.6.
