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Sketching streamlines

Tranquillity

Member
Feb 22, 2012
36
Hello guys!

I have the streamfunction \(\psi(r,\,\theta) = U\left(r-\frac{a^2}{r}\right)\sin{\theta}\), \(a\) is a positive constant and I have to sketch the streamlines and also interpret the two terms in the streamfunction!

Any clue on how to do that?

Thank you very much

Kindest regards
 
Last edited by a moderator:

dwsmith

Well-known member
Feb 1, 2012
1,673
Hello guys!

I have the streamfunction \(\psi(r,\,\theta) = U\left(r-\frac{a^2}{r}\right)\sin{\theta}\), \(a\) is a positive constant and I have to sketch the streamlines and also interpret the two terms in the streamfunction!

Any clue on how to do that?

Thank you very much

Kindest regards
Re-write in terms on x and y and use the streamplot feature in Mathematica. Refer to the math notes section Engineering Analysis notes for downloadable Mathematica notebooks that make these plots.
 

Tranquillity

Member
Feb 22, 2012
36
Thank you!
 

Tranquillity

Member
Feb 22, 2012
36
I have managed to plot the streamlines, any clue on the physical interpretation of the two terms?
 

dwsmith

Well-known member
Feb 1, 2012
1,673
I have managed to plot the streamlines, any clue on the physical interpretation of the two terms?
Did you read the notes on those sections? One is a dipole