A note about convected time derivatives for flows of complex fluids.
Howard A StoneMichael J ShelleyEvgeniy BoykoPublished in: Soft matter (2023)
We present a direct derivation of the typical time derivatives used in a continuum description of complex fluid flows, harnessing the principles of the kinematics of line elements. The evolution of the microstructural conformation tensor in a flow and the physical interpretation of different derivatives then follow naturally.