Time Averaged Energy Dissipation Rate for Shear Driven Flows in ℝⁿ

Author

Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant NSF-DMS-9400615

Keywords and Phrases

Background Flow; Energy Dissipation Rate; Navier-Stokes Equations

International Standard Serial Number (ISSN)

0167-2789

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

01 Jan 1997