A scaling law is proposed that gives the steady-state turbulent flame velocity in the regime where the flame is thin compared with the largest scale of the turbulence, diffusion effects are small compared to the fluid dynamics effects, and the turbulence is driven by the Rayleigh-Taylor instability
Buoyancy-driven turbulent diffusion flames
โ Scribed by Vedat S. Arpaci; Ahmet Selamet
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 793 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0010-2180
No coin nor oath required. For personal study only.
โฆ Synopsis
A fundamental dimensionless number for pool fires, is proposed. Here o n and Ra~ denote a flame Schmidt number and a flame Rayleigh number. The sublayer thickness of a turbulent pool fire, 7ยข, is shown in terms of II~ to be where / is an integral scale, The fuel consumption in a turbulent pool fire expressed in terms of r/~ (H~) and correlated by the experimental data leads to m' 0.15B
where p is the density, D the mass diffusivity, Ra the usual Rayleigh number, and B the transfer number. The model agrees well with a previous model based on the stagnant film hypothesis.
๐ SIMILAR VOLUMES
This work considers the applicability of different versions of the k-e hypothesis of turbulence for flame modeling. Utilizing similarity solutions, we find that the k-e hypothesis gives a finite radius for a weak axysimmetric plume above the heat source. The radius of this plume is defined as an eig
A microscale, % -0jj"3, is introduced for turbulent diffusion flames, where t) and me, respectively, are the Kolmogorov scale and the flame Schmidt number. In terms of this scale, the turbulent mass transfer integrated over a length I of a liquid fuel is shown to be M' = pBL, % where p is the dynami