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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832564275975028736 |
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| author | D. N. Riahi |
| author_facet | D. N. Riahi |
| author_sort | D. N. Riahi |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-8ac94ff80edb4aafbb61284a1b246db3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8ac94ff80edb4aafbb61284a1b246db32025-02-03T01:11:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120230531010.1155/S0161171297000410Renormalization group analysis for thermal turbulenceD. N. Riahi0Department of Theoretical and Applied Mechanics, 216 Talbot Laboratory, University of Illinois, 104 S. Wright St., Urbana 61801, Illinois, USARenormalization 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 discussedhttp://dx.doi.org/10.1155/S0161171297000410convectionturbulencethermalrenormalizationthermal turbulenceturbulent convectionrenormalization grouprenormalization group analysis. |
| spellingShingle | D. N. Riahi Renormalization group analysis for thermal turbulence International Journal of Mathematics and Mathematical Sciences convection turbulence thermal renormalization thermal turbulence turbulent convection renormalization group renormalization group analysis. |
| title | Renormalization group analysis for thermal turbulence |
| title_full | Renormalization group analysis for thermal turbulence |
| title_fullStr | Renormalization group analysis for thermal turbulence |
| title_full_unstemmed | Renormalization group analysis for thermal turbulence |
| title_short | Renormalization group analysis for thermal turbulence |
| title_sort | renormalization group analysis for thermal turbulence |
| topic | convection turbulence thermal renormalization thermal turbulence turbulent convection renormalization group renormalization group analysis. |
| url | http://dx.doi.org/10.1155/S0161171297000410 |
| work_keys_str_mv | AT dnriahi renormalizationgroupanalysisforthermalturbulence |