NDLI: A-Priori Direct Numerical Simulation Modelling of Co-variance Transport in Turbulent Stratified Flames

Content Provider	Springer Nature Link
Author	Malkeson, Sean P. Chakraborty, Nilanjan
Copyright Year	2012
Abstract	Three-dimensional Direct Numerical Simulations of statistically planar turbulent stratified flames at global equivalence ratios < ϕ > = 0.7 and < ϕ > = 1.0 have been carried out to analyse the statistical behaviour of the transport of co-variance of the fuel mass fraction Y F and mixture fraction ξ (i.e. $\widetilde{Y_F^{\prime\prime} \xi ^{\prime\prime}}={\overline {\rho Y_F^{\prime\prime} \xi^{\prime\prime}} } \Big/ {\overline \rho })$ for Reynolds Averaged Navier Stokes simulations where $\overline q $ , $\tilde{q} ={\overline {\rho q} } \big/ {\overline \rho }$ and $q^{\prime\prime}= q-\tilde{q}$ are Reynolds averaged, Favre mean and Favre fluctuation of a general quantity q with ρ being the gas density and the overbar suggesting a Reynolds averaging operation. It has been found that existing algebraic expressions may not capture the statistical behaviour of $\widetilde{Y_F^{\prime\prime} \xi^{\prime\prime}}$ with sufficient accuracy in low Damköhler number combustion and therefore, a transport equation for $\widetilde{Y_F^{\prime\prime} \xi^{\prime\prime}}$ may need to be solved. The statistical behaviours of $\widetilde{Y_F^{\prime\prime} \xi^{\prime\prime}}$ and the unclosed terms of its transport equation (i.e. the terms originating from turbulent transport T 1 , reaction rate T 4 and molecular dissipation $\left( {-D_2 } \right))$ have been analysed in detail. The contribution of T 1 remains important for all cases considered here. The term T 4 acts as a major contributor in < ϕ > = 1.0 cases, but plays a relatively less important role in < ϕ > = 0.7 cases, whereas the term $\left( {-D_2 } \right)$ acts mostly as a leading order sink. Through an a-priori DNS analysis, the performances of the models for T 1 , T 4 and $\left( {-D_2 } \right)$ have been addressed in detail. A model has been identified for the turbulent transport term T 1 which satisfactorily predicts the corresponding term obtained from DNS data. The models for T 4 , which were originally proposed for high Damköhler number flames, have been modified for low Damköhler combustion. Predictions of the modified models are found to be in good agreement with T 4 obtained from DNS data. It has been found that existing algebraic models for $D_2 =2\overline {\rho D\nabla Y_F^{\prime\prime} \nabla \xi^{\prime\prime}} $ (where D is the mass diffusivity) are not sufficient for low Damköhler number combustion and therefore, a transport equation may need to be solved for the cross-scalar dissipation rate $\widetilde{\varepsilon }_{Y\xi } ={\overline {\rho D\nabla Y_F^{\prime\prime} \nabla \xi^{\prime\prime}} } \big/ {\overline \rho }$ for the closure of the $\widetilde{Y_F^{\prime\prime} \xi^{\prime\prime}}$ transport equation.
Starting Page	243
Ending Page	267
Page Count	25
File Format	PDF
ISSN	13866184
Journal	Flow, Turbulence and Combustion
Volume Number	90
Issue Number	2
e-ISSN	15731987
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-12-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Direct numerical simulation Co-variance Reynolds averaged Navier–Stokes modelling Stratified-mixture combustion Damköhler number Engineering Fluid Dynamics Fluid- and Aerodynamics Engineering Thermodynamics, Heat and Mass Transfer Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Physical and Theoretical Chemistry Chemical Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Statistical Analysis and a-priori Modelling of Flame Surface Density Transport in Turbulent Stratified Flames: A Direct Numerical Simulation Study

Effects of Lewis Number on Scalar Variance Transport in Premixed Flames

Statistical Analysis of Cross Scalar Dissipation Rate Transport in Turbulent Partially Premixed Flames: A Direct Numerical Simulation Study

Statistics and Modelling of Turbulent Kinetic Energy Transport in Different Regimes of Premixed Combustion

Numerical Modeling of Stationary But Developing Premixed Turbulent Flames

Numerical Simulations of Confined, Turbulent, Lean, Premixed Flames Using a Detailed Chemistry Combustion Model

An SMLD Joint PDF Model for Turbulent Non-Premixed Combustion Using the Flamelet Progress-Variable Approach

On the Influence of the Combustion Model on the Result of Turbulent Flames Numerical Simulations

Numerical Study of Stratified Flames Using Reynolds Averaged Navier Stokes Modeling.

A-Priori Direct Numerical Simulation Modelling of Co-variance Transport in Turbulent Stratified Flames

Similar Documents

Statistical Analysis and a-priori Modelling of Flame Surface Density Transport in Turbulent Stratified Flames: A Direct Numerical Simulation Study

Effects of Lewis Number on Scalar Variance Transport in Premixed Flames

Statistical Analysis of Cross Scalar Dissipation Rate Transport in Turbulent Partially Premixed Flames: A Direct Numerical Simulation Study

Statistics and Modelling of Turbulent Kinetic Energy Transport in Different Regimes of Premixed Combustion

Numerical Modeling of Stationary But Developing Premixed Turbulent Flames

Numerical Simulations of Confined, Turbulent, Lean, Premixed Flames Using a Detailed Chemistry Combustion Model

An SMLD Joint PDF Model for Turbulent Non-Premixed Combustion Using the Flamelet Progress-Variable Approach

On the Influence of the Combustion Model on the Result of Turbulent Flames Numerical Simulations

Numerical Study of Stratified Flames Using Reynolds Averaged Navier Stokes Modeling.

A-Priori Direct Numerical Simulation Modelling of Co-variance Transport in Turbulent Stratified Flames