Coordinate transformation of the Navier Stokes equation

Thread starter hcpysicist
Start date Dec 10, 2023
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Coordinate transformations Fluid dynamics Navier stokes equation

Dec 10, 2023

hcpysicist

Homework Statement: Given navier stokes equation in certisian form ,it is asked to use coordinate transformation equation to derive navier stokes equation in cylindrical coordinates .

Relevant Equations: x=rcos(theta),
y=rsin(theta)
z=z

i have successfully transformed the continuity equation using coordinate transform,but having trouble with the momentum equation .

can someone kindly provide the transformation of the right hand sight of equation of the image i have attached.

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