Which of these terms represent the convective derivative of temperature (T)?(a) \(\vec{V}.\nabla T\)(b) \(\frac{DT}{Dt}\)(c) ∇T(d) \(\frac{\partial T}{\partial t}\)The question was asked during an online exam.I'm obligated to ask this question of Governing Equations in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Which of these terms represent the convective derivative of temperatur

1.	Which of these terms represent the convective derivative of temperature (T)?(a) \(\vec{V}.\nabla T\)(b) \(\frac{DT}{Dt}\)(c) ∇T(d) \(\frac{\partial T}{\partial t}\)The question was asked during an online exam.I'm obligated to ask this question of Governing Equations in section Governing Equations of Fluid Dynamics of Computational Fluid Dynamics
Answer» Right OPTION is (a) \(\VEC{V}.\nabla T\) Easiest explanation: \(\vec{V}.\nabla T\) (dot product of VELOCITY vector gradient of T) is the convective derivative which is the time rate of change due to the MOVEMENT of the fluid element.

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