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Hi! I have an assignment on potential flow analysis. Could someone please help me with the 1st question I'm really struggling! Here it is:

Topical Cyclone Hudhud, combined with a North easterly wind (120mph). Assuming the cyclone could be represented by an it rotational vortex, which could be represented by the steam function: ψ=(-K/2π)lnr
And the potential function: φ=(-K/2π)θ

1. Derive expressions for the stream and potential functions of the combined flow.
2. What is the velocity field of the combined flow?

( The lecture told us that we needed to add the stream functions to give
ψ=-urcosθ+Vrsinθ+(-K/2π)lnr )
Q1 needs to include polar co-ordinates

Thanks!!! :D

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