# Sketching streamlines

#### Tranquillity

##### Member
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

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#### dwsmith

##### Well-known member
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.

Thank you!

#### Tranquillity

##### Member
I have managed to plot the streamlines, any clue on the physical interpretation of the two terms?

#### dwsmith

##### Well-known member
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