A note about convected time derivatives for flows of complex fluids
Howard A. Stone, Michael Shelley, Evgeniy Boyko
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.
Topics & Concepts
KinematicsComplex fluidMechanicsClassical mechanicsFluid dynamicsPhysicsMathematicsComputer scienceRheology and Fluid Dynamics StudiesFluid Dynamics and Turbulent FlowsFluid Dynamics and Vibration Analysis