A note about convected time derivatives for flows of complex fluids

Abstract

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.

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References in corpus (1)

• Analytical structure, dynamics, and coarse-graining of a kinetic model of an active fluid

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