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Example of the use
3.7 - Simple Potential flows
Uniform Stream
Source (sink) flow
Solution: Equations for the velocity field for the 2D source.
Solution: Net outward volume flux for 2D sorce.
Solution: Net outward flux for a 3D source.
2D point vortex
Solution: radial velocity
, the tangential velocity
and the vorticity
.
Solution: Circulation
.
Dipole (doublet flow)
Solution: 2D dipole with orientation angle
.
Solution: 3D dipole at the origin with orientation in the
direction.
Stream and source: Rankine half-body
Solution: Position
of the stagnation point for the rankine half-body.
Solution: width
of the rankine half-body.
Solution: Position
of the stagnation point for the 3D rankine half-body.
Solution: cross-sectional area
of the 3D rankine half-body.
Stream + source/sink pair: Rankine closed bodies
Solution: stagnation points for the 3D Rankine ovoid.
Solution: radius
of the 3D Rankine body.
Stream + Dipole: circles and spheres
2D corner flow
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