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Flow Control Through the Use of Topography



David Cotrell, Anthony J. Kearsley


In this work, optimal shaft shapes for flow in the annular space between a rotating shaft with axially-periodic radius and a fixed coaxial outer circular cylinder are investigated. Axisymmetric steady flows in this geometry are determined by solving the full Navier-Stokes equations in the actual domain. A measure of the flow field, a weighted convex combination of the volume averaged square of the L2-norm of the velocity and vorticity vectors, is employed. It has been demonstrated that boundary shape can be used to influence the characteristics of the flow field, such as velocity component distribution, kinetic energy, or even vorticity. This ability to influence flow fields through boundary shape may be employed to improve microfludic mixing, or possibly to minimize shear in biological applications.
Journal of Research (NIST JRES) -


Control, Navier Stokes Equations, Optimization


Cotrell, D. and Kearsley, A. (2007), Flow Control Through the Use of Topography, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], (Accessed April 18, 2024)
Created April 30, 2007, Updated October 12, 2021