Renormalization group analysis for thermal turbulence
Renormalization group theory is applied to thermal turbulence. Turbulent fluxes for the flow are accounted for by repeatedly recasting the governing equations with the smallest scales represented by effective larger scales. Expressions for nonlinear contributions to eddy viscosity and eddy diffusivi...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000410 |
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| Summary: | Renormalization group theory is applied to thermal turbulence. Turbulent fluxes for the
flow are accounted for by repeatedly recasting the governing equations with the smallest scales
represented by effective larger scales. Expressions for nonlinear contributions to eddy viscosity and eddy
diffusivity are determined, and leading order contributions due to buoyancy on various results and
equations are estimated. Proper scalings for various quantities and variables including temperature are
proposed. The results near two fixed points, which correspond to inertial and buoyancy dominated
ranges, are determined and discussed |
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| ISSN: | 0161-1712 1687-0425 |