How is the substantial derivative of velocity vector denoted?(a) \(\frac{D\vec{V}}{Dt}\)(b) \(\frac{d\vec{V}}{dt}\)(c) \(\frac{\partial \vec{V}}{\partial t}\)(d) \(\frac{D\vec{V}}{Dx}\)The question was posed to me in an interview for internship.The query is from Governing Equations topic in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

How is the substantial derivative of velocity vector denoted?(a) \(\fr

1.	How is the substantial derivative of velocity vector denoted?(a) \(\frac{D\vec{V}}{Dt}\)(b) \(\frac{d\vec{V}}{dt}\)(c) \(\frac{\partial \vec{V}}{\partial t}\)(d) \(\frac{D\vec{V}}{Dx}\)The question was posed to me in an interview for internship.The query is from Governing Equations topic in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics
Answer» The CORRECT choice is (a) \(\FRAC{D\vec{V}}{Dt}\) For EXPLANATION: \(\frac{D\vec{V}}{Dt}\) is the substantial DERIVATIVE. \(\frac{d\vec{V}}{dt}\) is the local derivative. \(\frac{\partial \vec{V}}{\partial t}\) is the partial derivative.

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