Conversion of Toroidal Coordinates to Cartesian Coordinates
I am working on fluid flow in curved pipes in which the flow is mainly represented by toroidal coordinates. I am working to convert equations from cartesian to toroidal coordinates. I came across the conversion from cartesian to toroidal coordinates as follows:
where R and r are Major and minor radius. and A, B are the angles varies from 0 to 2*pi.
Now I want to know the inverse relation from toroidal to cartesian. which is
r = sqrt( (R-sqrt(x^2+y^2))^2+ z^2)
but i dont know the relation for A and B. Can anybody please help me with this.
Thanks in advance.
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