Is the following flow physically possible? i.e., if the flow satisfies the continuity equation. A gas is flowing at relatively low speeds (so that its density may be assumed constant) where u = - 2xyz/(x^2 + y^2)^2 U_infinity L nu = (x^2 + y^2)2/(x^2 + y^2)^2 U_infinity L w = y/x^2 + y^2 U_infinity L Here U_infinity and L are a reference velocity and a reference length, respectively. Two of the three velocity components for an incompressible flow are:
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