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physics.flu-dyn2023
Reciprocal theorem for calculating the flow rate of oscillatory channel flows
Shrihari D. Pande, Evgeniy Boyko, Ivan C. Christov
We demonstrate the use of the Lorentz reciprocal theorem in obtaining corrections to the steady flow rate due to flow oscillations in rigid channels. Starting from the unsteady Sto…
physics.flu-dyn2023★ 17 cited
A note about convected time derivatives for flows of complex fluids
Howard A. Stone, Michael J. Shelley, Evgeniy Boyko
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.…