A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations
A Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with Lewis numbers Le ranging from 0.34 to 1.2 has been used to analyse the statistical behaviours of the curvature term of the generalised Flame surface Density (FSD) transport equation...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Chemical Engineering |
| Online Access: | http://dx.doi.org/10.1155/2012/103727 |
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| author | Mohit Katragadda Nilanjan Chakraborty |
| author_facet | Mohit Katragadda Nilanjan Chakraborty |
| author_sort | Mohit Katragadda |
| collection | DOAJ |
| description | A Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with Lewis numbers Le ranging from 0.34 to 1.2 has been used to analyse the statistical behaviours of the curvature term of the generalised Flame surface Density (FSD) transport equation, in the context of the Large Eddy Simulation (LES). Lewis number is shown to have significant influences on the statistical behaviours of the resolved and sub-grid parts of the FSD curvature term. It has been found that the existing models for the sub-grid curvature term Csg do not capture the qualitative behaviour of this term extracted from the DNS database for flames with Le<<1. The existing models of Csg only predict negative values, whereas the sub-grid curvature term is shown to assume positive values within the flame brush for the Le=0.34 and 0.6 flames. Here the sub-grid curvature terms arising from combined reaction and normal diffusion and tangential diffusion components of displacement speed are individually modelled, and the new model of the sub-grid curvature term has been found to capture Csg extracted from DNS data satisfactorily for all the different Lewis number flames considered here for a wide range of filter widths. |
| format | Article |
| id | doaj-art-7a0d4746fe2b4a02ac8d3caf11c26902 |
| institution | Kabale University |
| issn | 1687-806X 1687-8078 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Chemical Engineering |
| spelling | doaj-art-7a0d4746fe2b4a02ac8d3caf11c269022025-08-20T03:35:48ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782012-01-01201210.1155/2012/103727103727A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy SimulationsMohit Katragadda0Nilanjan Chakraborty1School of Mechanical and Systems Engineering, Newcastle University, Claremont Road, Newcastle-upon-Tyne NE1 7RU, UKSchool of Mechanical and Systems Engineering, Newcastle University, Claremont Road, Newcastle-upon-Tyne NE1 7RU, UKA Direct Numerical Simulation (DNS) database of freely propagating statistically planar turbulent premixed flames with Lewis numbers Le ranging from 0.34 to 1.2 has been used to analyse the statistical behaviours of the curvature term of the generalised Flame surface Density (FSD) transport equation, in the context of the Large Eddy Simulation (LES). Lewis number is shown to have significant influences on the statistical behaviours of the resolved and sub-grid parts of the FSD curvature term. It has been found that the existing models for the sub-grid curvature term Csg do not capture the qualitative behaviour of this term extracted from the DNS database for flames with Le<<1. The existing models of Csg only predict negative values, whereas the sub-grid curvature term is shown to assume positive values within the flame brush for the Le=0.34 and 0.6 flames. Here the sub-grid curvature terms arising from combined reaction and normal diffusion and tangential diffusion components of displacement speed are individually modelled, and the new model of the sub-grid curvature term has been found to capture Csg extracted from DNS data satisfactorily for all the different Lewis number flames considered here for a wide range of filter widths.http://dx.doi.org/10.1155/2012/103727 |
| spellingShingle | Mohit Katragadda Nilanjan Chakraborty A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations International Journal of Chemical Engineering |
| title | A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations |
| title_full | A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations |
| title_fullStr | A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations |
| title_full_unstemmed | A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations |
| title_short | A Priori Direct Numerical Simulation Modelling of the Curvature Term of the Flame Surface Density Transport Equation for Nonunity Lewis Number Flames in the Context of Large Eddy Simulations |
| title_sort | priori direct numerical simulation modelling of the curvature term of the flame surface density transport equation for nonunity lewis number flames in the context of large eddy simulations |
| url | http://dx.doi.org/10.1155/2012/103727 |
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