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Pipe Flow and Wall Turbulence Using a Modified Navier-Stokes Equation |
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| Authors: | LJirkovsky AMuriel |
| Institution: | 1. Department of Informatics and Geoinformatics, Fakulta Zivotniho Prostredi, FZP, University of J.E. Purkyne, Kralova Vysina 7, 40096 Usti n.L., Czech; 2. Department of Electrical Engineering, Columbia University, New York City, USA; 3. Department of Philosophy, Harvard University, Cambridge, Massachusetts 02138, USA |
| Abstract: | We use a derived incompressible modified Navier-Stokes equation to model pipe flow and wall turbulence.We reproduce the observed flattened paraboloid velocity profiles of turbulence that cannot be obtained directly using standard incompressible Navier-Stokes equation.The solutions found are in harmony with multi-valued velocity fields as a definition of turbulence.Repeating the procedure for the flow of turbulent fluid between two parallel flat plates we find similar flattened velocity profiles.We extend the analysis to the turbulent flow along a single wall and compare the results with experimental data and the established controversial von Karman logarithmic law of the wall. |
| Keywords: | fluids instabilities turbulence deterministic chaos |
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