# Spherical polar coordinates (r, θ, φ) are defined in Fig. P4.12. The cartesian transformations are x =

## Question:

x = r sinθ cosφ

y = r sinθ sinφ

z = r cosθ

Do not show that the Cartesian incompressible continuity relation (4.12a) can be transformed to the spherical polar form What is the most general form of υ r when the flow is purely radial, that is, υθ and υφ are zero?

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