Question

Which of these is not an equivalent to for substantial derivative?

(a) Lagrangian derivative

(b) Material derivative

(c) Total derivative

(d) Eulerian derivative

This question was addressed to me by my college director while I was bunking the class.

My doubt is from Governing Equations topic in division Governing Equations of Fluid Dynamics of Computational Fluid Dynamics

Answer 1

Right choice is (d) Eulerian derivative

To explain I would say: Eulerian derivative means the local derivative (\(\frac{\partial}{\partial t}\)). Material and Lagrangian derivatives are the other names for substantial derivative. Total derivative is mathematical equivalent to substantial derivative.