(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The stream function Ψ(x,y) = Asin(πnx)*sin(πmy) where m and n are consitive integers and A is a constant, describes circular flow in the region R = {(x,y): 0≤x≤1, 0≤y≤1 }. Graph several streamlines with A=10 and m=n=1 and describe the flow. Explain why the flow is confined to the region R.

2. Relevant equations

The y partial derivative of the stream function equals the x-component of the vector field

The x partial derivative of the stream function equals the y-component of the vector field

I'm assuming the vector field is source-free

3. The attempt at a solution

The streamlines should take the equation C=10sin(πx)sin(πy) where C is some constant. I have no idea how to graph this and every online grapher that I've used has been unable to graph it. I imagine I need to have some idea of how to do this before I can determine why the flow is confined to the region R

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# Homework Help: Vector fields question; not sure how to approach?

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