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

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Homework Help Overview

The discussion revolves around converting a velocity potential from polar coordinates to Cartesian coordinates, specifically in the context of fluid dynamics and irrotational flow. The original poster presents a stream function and seeks guidance on the conversion process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to find the velocity potential in polar coordinates but is uncertain about the conversion to Cartesian coordinates. Some participants suggest that standard formulas exist for this transformation, while others express difficulty in locating these formulas in their reference materials.

Discussion Status

The discussion is ongoing, with participants exploring different resources and references. Some guidance has been offered in the form of a link to a list of coordinate transformations, but no consensus on the conversion method has been reached.

Contextual Notes

The original poster mentions a specific textbook that did not provide the needed information, indicating a potential gap in resources or understanding of the topic. Additionally, there is a request for further examples that may not directly relate to the original question.

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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