# Conversion of Toroidal Coordinates to Cartesian Coordinates

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 May 8, 2013, 02:51 Conversion of Toroidal Coordinates to Cartesian Coordinates #1 New Member   Saqib Join Date: Jan 2012 Posts: 10 Rep Power: 7 Sponsored Links Dear Fellows, 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: x= (R-r*CosB)CosA y= (R-r*CosB)SinA z= r*SinB 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. Regards,

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