We drive an upper bound of the time averaged energy dissipation rate for boundary driven flows directly from the Navier-Stokes equations in ℝn. the upper bound is independent of the kinematic viscosity in accordance with Kolomogorov's scaling result. Copyright © 1997 Elsevier Science B.V. All rights reserved.
X. Wang, "Time Averaged Energy Dissipation Rate for Shear Driven Flows in ℝⁿ," Physica D: Nonlinear Phenomena, vol. 99, no. 4, pp. 555 - 563, Elsevier, Jan 1997.
The definitive version is available at https://doi.org/10.1016/S0167-2789(96)00161-3
Mathematics and Statistics
Keywords and Phrases
Background Flow; Energy Dissipation Rate; Navier-Stokes Equations
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 1997
National Science Foundation, Grant NSF-DMS-9400615