# Correlation of flame speed with stretch in turbulent premixed methane/air flames

## Abstract

Direct numerical simulations of two-dimensional unsteady premixed methane/air flames are performed to determine the correlation of flame speed with stretch over a wide range of curvatures and strain rates generated by intense two-dimensional turbulence. Lean and stoichiometric premixtures are considered with a detailed C{sub 1}-mechanism for methane oxidation. The computed correlation shows the existence of two distinct stable branches. It further shows that exceedingly large negative values of stretch can be obtained solely through curvature effects which give rise to an overall nonlinear correlation of the flame speed with stretch. Over a narrower stretch range, {minus}1 {le} Ka {le} 1, which includes 90% of the sample, the correlation is approximately linear, and hence, the asymptotic theory for stretch is practically applicable. Overall, one-third of the sample has negative stretch. In this linear range, the Markstein number associated with the positive branch is determined and is consistent with values obtained from comparable steady counterflow computations. In addition to this conventional positive branch, a negative branch is identified. This negative branch occurs when a flame cusp, with a center of curvature in the burnt gases, is subjected to intense compressive strain, resulting in a negative displacement speed. Negative flame speeds are alsomore »

- Authors:

- Publication Date:

- Research Org.:
- Sandia National Labs., Combustion Research Facility, Livermore, CA (United States)

- Sponsoring Org.:
- USDOE Assistant Secretary for Energy Efficiency and Renewable Energy, Washington, DC (United States)

- OSTI Identifier:
- 671895

- Report Number(s):
- SAND-98-8473C; CONF-980804-

ON: DE98052542; TRN: AHC2DT07%%53

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Conference

- Resource Relation:
- Conference: 27. international symposium on combustion, Boulder, CO (United States), 2-7 Aug 1998; Other Information: PBD: Mar 1998

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 03 NATURAL GAS; METHANE; MATHEMATICAL MODELS; FLAMES; FLAME PROPAGATION; MORPHOLOGY; TURBULENT FLOW; COMBUSTION KINETICS

### Citation Formats

```
Chen, J H, and Im, H G.
```*Correlation of flame speed with stretch in turbulent premixed methane/air flames*. United States: N. p., 1998.
Web.

```
Chen, J H, & Im, H G.
```*Correlation of flame speed with stretch in turbulent premixed methane/air flames*. United States.

```
Chen, J H, and Im, H G. Sun .
"Correlation of flame speed with stretch in turbulent premixed methane/air flames". United States. https://www.osti.gov/servlets/purl/671895.
```

```
@article{osti_671895,
```

title = {Correlation of flame speed with stretch in turbulent premixed methane/air flames},

author = {Chen, J H and Im, H G},

abstractNote = {Direct numerical simulations of two-dimensional unsteady premixed methane/air flames are performed to determine the correlation of flame speed with stretch over a wide range of curvatures and strain rates generated by intense two-dimensional turbulence. Lean and stoichiometric premixtures are considered with a detailed C{sub 1}-mechanism for methane oxidation. The computed correlation shows the existence of two distinct stable branches. It further shows that exceedingly large negative values of stretch can be obtained solely through curvature effects which give rise to an overall nonlinear correlation of the flame speed with stretch. Over a narrower stretch range, {minus}1 {le} Ka {le} 1, which includes 90% of the sample, the correlation is approximately linear, and hence, the asymptotic theory for stretch is practically applicable. Overall, one-third of the sample has negative stretch. In this linear range, the Markstein number associated with the positive branch is determined and is consistent with values obtained from comparable steady counterflow computations. In addition to this conventional positive branch, a negative branch is identified. This negative branch occurs when a flame cusp, with a center of curvature in the burnt gases, is subjected to intense compressive strain, resulting in a negative displacement speed. Negative flame speeds are also encountered for extensive tangential strain rates exceeding a Karlovitz number of unity, a value consistent with steady counterflow computations.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1998},

month = {3}

}