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(Solved): Calculate the divergence and vorticity of the velocity, then is compressible and irrotational flow? ...
Consider the flow, with a velocity field where the velocity \( x \) and \( y \) components are \[ \begin{array}{l} u=c x /\left(x^{2}+y^{2}\right) \\ v=c y /\left(x^{2}+y^{2}\right) \end{array} \] respectively, where \( \mathrm{c} \) is a constant, Calculate the divergence and vorticity of the velocity then is compressible and irrotational flow?