A new approach to the Navier Stokes equations

Turbulence - The Millennium Stokes Problem

The website shall cite passages, statements, articles and further results concerning the statement of the title

The responsibility of this site is with:

Prof. Dr. Hans Paul Drescher
hanspaul.drescher@budi.de

Proposals and remarks shall be made directly to the responsible person.

The present focus of the site is on the following consequences:

01

For high Reynolds Couette flow Navier-Stokes solutions contradict the minimum dissipation requirement of the Thermodynamics of Irreversible Processes.

02

The theory of hydrodynamic instability ignores a significant energy deficit during transition to turbulence.

03

The exact solution of the “1. Stokes-Problem” (1851) results in un-physical high dissipation rates.

04

For the transition between different flow mechanism (laminar, turbulent, non-local, corpuscular) the minimum dissipation requirement gives significant statements.

05

The minimum dissipation requirement explains maximum turbulent dimensions. The resulting non-local physical character of turbulence cannot be described by the local Navier-Stokes equations (“fundamental paradox”).

Further reading

Citations

Citations on several aspects of the subject
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Papers

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Contact

To contact the author please send an email to hanspaul.drescher@budi.de