Derive expressions for the gradient of velocity in cylindrical and spherical coordinates. Define the nabla operator in

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Derive expressions for the gradient of velocity in cylindrical and spherical coordinates. Define the nabla operator in cylindrical/spherical coordinates and let it act on a vector. Use the chain rule, taking care to differentiate some of the unit vectors. Rearrange the results into a componentwise form.

Using this and the definition of \(\tilde{E}\).

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