In mathematical terms, how can the divergence of a velocity vector \((\vec{V})\) be represented?(a) \(\nabla.\vec{V}\)(b) \(\nabla\vec{V}\)(c) \(\nabla \times\vec{V}\)(d) \(\vec{V} \times\nabla\)The question was posed to me by my college professor while I was bunking the class.The doubt is from Governing Equations in portion Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

In mathematical terms, how can the divergence of a velocity vector \((

1.	In mathematical terms, how can the divergence of a velocity vector \((\vec{V})\) be represented?(a) \(\nabla.\vec{V}\)(b) \(\nabla\vec{V}\)(c) \(\nabla \times\vec{V}\)(d) \(\vec{V} \times\nabla\)The question was posed to me by my college professor while I was bunking the class.The doubt is from Governing Equations in portion Governing Equations of Fluid Dynamics of Computational Fluid Dynamics
Answer» CORRECT OPTION is (a) \(\nabla.\vec{V}\) EASIEST explanation: \(\nabla.\vec{V}\)represents the divergence of a VECTOR. \(\nabla\vec{V}\) is gradient which is not possible for a vector. \(\nabla \times\vec{V}\) is the curl of a vector. \(\vec{V} \times\nabla\) does not represent any property.

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