Potential Flow Streamlines

Streamlines can be define by a streamfunction expression in cartesion coordinates.
Coordinates can be entered as follows: 

      x -- x ordinate, y -- y ordinate
	       Polar : r -- radius, T(θ) --angle 
           Operators : * / + -
           Functions : sin,cos,log,pow,
	                   atan,atan2
Note : there is no guarantee that any chosen function is a valid potential flow. You need to verify all functions using the continuity equation.

Streamfunction Expression :

Number of Streamlines :

 
E.Gs.
Uniform Horizontal flow : y      Uniform Vertical Flow : x
Source Flow : T      Vortex Flow : log(r)      Inclined Flow : y+0.1*x
Source/Sink Pair : atan2(y,(x-0.5))-atan2(y,(x+0.5))      Doublette : 20*sin(T)/r
Circular Cylinder in Uniform Flow : 75*y-y/r/r      Rotating Cylinder Flow : 38.5*y-y/r/r +5*log(r)
Imaged Source Pair : atan((y-0.5)/x)+atan((y+0.5)/x)      Right Angle Corner : x*y
Imaged Source Pair in Stream : atan((y-0.5)/x)+atan((y+0.5)/x) + 5.45*y     
Streamlined Shape :
20*y+atan2(y,(x+0.5))-atan2(y,x)*0.4-atan2(y,(x-0.25))*0.3-atan2(y,(x-0.5))*0.25-atan2(y,(x-0.75))*0.15

Back to Top