How to convert velocity potential from polar form to Cartesian coordinate form

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To convert the velocity potential from polar to Cartesian coordinates, standard transformation formulas are typically used, which may not be readily available in all textbooks. The user expresses difficulty in finding these formulas in the referenced Fox & McDonald textbook and seeks assistance. Additionally, there is a request for help with finding the polar form of specific complex numbers, indicating a broader interest in coordinate transformations. The discussion highlights the need for clarity on the conversion process and access to relevant resources. Overall, the thread emphasizes the importance of understanding coordinate transformations in fluid dynamics.
rohitgupta
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Homework Statement


Alright, here's the question, A stream function for a plane, irrotational, polar-coordinate flow is ψ=9r^2sin^θ. Find out the velocity potential in Cartesian Co-ordinate!


Homework Equations





The Attempt at a Solution


Well, I can easily find out the velocity potential in Polar co-ordinates but then how do I convert it to Cartesian Co-ordinates?
 
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There are standard formulas for doing that, in most 2nd-year engineering course textbooks.
 
Well I did try searching for it in Fox&Mcdonald(the book that I follow), I didn't find it there, maybe I have overlooked it but anyways could you please give me a link or type the formulas here.

Thank You.
 
would you mind answer this... find the polar form of 1/4i and also 1/z? please give the answer..
 

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