Hi all I am conducting a fluid analysis on water flowing through a subsea pipe.(adsbygoogle = window.adsbygoogle || []).push({});

Having used navier stokes equation, i derived the equation for velocity in the r-direction (using cylindrical coordinates.

But when initially solving the energy equation to determine temperature distribution I have used the cartesian coordinates, x & y

From the picture I have attached am I correct in proceeding to solve the energy equation, if I were to just differentiate my velocity equation result and substitute back into the energy equation?

From my knowledge the Y direction in cartesian corresponds with the R direction in the cyclindrical hence my reasoning for proceeding this way.

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# I Solving Navier Stokes & energy equations with different coordinates

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