Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions
This study presents 1D analytical solutions for the ensemble variance of reactive scalars in one-dimensional turbulent flows, in case of stationary conditions, homogeneous mean scalar gradient and turbulence, Dirichlet boundary conditions, and first order kinetics reactions. Simplified solutions and...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/424827 |
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| _version_ | 1832550495191826432 |
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| author | Andrea Amicarelli Annalisa Di Bernardino Franco Catalano Giovanni Leuzzi Paolo Monti |
| author_facet | Andrea Amicarelli Annalisa Di Bernardino Franco Catalano Giovanni Leuzzi Paolo Monti |
| author_sort | Andrea Amicarelli |
| collection | DOAJ |
| description | This study presents 1D analytical solutions for the ensemble variance of reactive scalars in one-dimensional turbulent flows, in case of stationary conditions, homogeneous mean scalar gradient and turbulence, Dirichlet boundary conditions, and first order kinetics reactions. Simplified solutions and sensitivity analysis are also discussed. These solutions represent both analytical tools for preliminary estimations of the concentration variance and upwind spatial reconstruction schemes for CFD (Computational Fluid Dynamics)—RANS (Reynolds-Averaged Navier-Stokes) codes, which estimate the turbulent fluctuations of reactive scalars. |
| format | Article |
| id | doaj-art-78e2c62b38ee4228a793753187f336f6 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-78e2c62b38ee4228a793753187f336f62025-02-03T06:06:39ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/424827424827Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary ConditionsAndrea Amicarelli0Annalisa Di Bernardino1Franco Catalano2Giovanni Leuzzi3Paolo Monti4Environment and Sustainable Development Department (SFE), Ricerca sul Sistema Energetico (RSE) SpA, Via Rubattino 54, 20134 Milan, ItalyDepartment of Civil and Environmental Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyENEA, Casaccia, Via Anguillarese 301, Santa Maria di Galeria, 00123 Rome, ItalyDepartment of Civil and Environmental Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyDepartment of Civil and Environmental Engineering, Sapienza University of Rome, Via Eudossiana 18, 00184 Rome, ItalyThis study presents 1D analytical solutions for the ensemble variance of reactive scalars in one-dimensional turbulent flows, in case of stationary conditions, homogeneous mean scalar gradient and turbulence, Dirichlet boundary conditions, and first order kinetics reactions. Simplified solutions and sensitivity analysis are also discussed. These solutions represent both analytical tools for preliminary estimations of the concentration variance and upwind spatial reconstruction schemes for CFD (Computational Fluid Dynamics)—RANS (Reynolds-Averaged Navier-Stokes) codes, which estimate the turbulent fluctuations of reactive scalars.http://dx.doi.org/10.1155/2015/424827 |
| spellingShingle | Andrea Amicarelli Annalisa Di Bernardino Franco Catalano Giovanni Leuzzi Paolo Monti Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions Advances in Mathematical Physics |
| title | Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions |
| title_full | Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions |
| title_fullStr | Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions |
| title_full_unstemmed | Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions |
| title_short | Analytical Solutions of the Balance Equation for the Scalar Variance in One-Dimensional Turbulent Flows under Stationary Conditions |
| title_sort | analytical solutions of the balance equation for the scalar variance in one dimensional turbulent flows under stationary conditions |
| url | http://dx.doi.org/10.1155/2015/424827 |
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