# A turbulence model for buoyant flows based on vorticity generation.

## Abstract

A turbulence model for buoyant flows has been developed in the context of a k-{var_epsilon} turbulence modeling approach. A production term is added to the turbulent kinetic energy equation based on dimensional reasoning using an appropriate time scale for buoyancy-induced turbulence taken from the vorticity conservation equation. The resulting turbulence model is calibrated against far field helium-air spread rate data, and validated with near source, strongly buoyant helium plume data sets. This model is more numerically stable and gives better predictions over a much broader range of mesh densities than the standard k-{var_epsilon} model for these strongly buoyant flows.

- Authors:

- Publication Date:

- Research Org.:
- Sandia National Laboratories

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 875637

- Report Number(s):
- SAND2005-6273

TRN: US200603%%265

- DOE Contract Number:
- AC04-94AL85000

- Resource Type:
- Technical Report

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; FLOW MODELS; TURBULENT FLOW; KINETIC EQUATIONS; AIR; HELIUM; KINETIC ENERGY; VORTICES; Turbulence-Mathematical models.; Kinetic theory of liquids-Mathematical models.

### Citation Formats

```
Domino, Stefan Paul, Nicolette, Vernon F., O'Hern, Timothy John, Tieszen, Sheldon R., and Black,
Amalia Rebecca.
```*A turbulence model for buoyant flows based on vorticity generation.*. United States: N. p., 2005.
Web. doi:10.2172/875637.

```
Domino, Stefan Paul, Nicolette, Vernon F., O'Hern, Timothy John, Tieszen, Sheldon R., & Black,
Amalia Rebecca.
```*A turbulence model for buoyant flows based on vorticity generation.*. United States. doi:10.2172/875637.

```
Domino, Stefan Paul, Nicolette, Vernon F., O'Hern, Timothy John, Tieszen, Sheldon R., and Black,
Amalia Rebecca. Sat .
"A turbulence model for buoyant flows based on vorticity generation.". United States.
doi:10.2172/875637. https://www.osti.gov/servlets/purl/875637.
```

```
@article{osti_875637,
```

title = {A turbulence model for buoyant flows based on vorticity generation.},

author = {Domino, Stefan Paul and Nicolette, Vernon F. and O'Hern, Timothy John and Tieszen, Sheldon R. and Black,
Amalia Rebecca},

abstractNote = {A turbulence model for buoyant flows has been developed in the context of a k-{var_epsilon} turbulence modeling approach. A production term is added to the turbulent kinetic energy equation based on dimensional reasoning using an appropriate time scale for buoyancy-induced turbulence taken from the vorticity conservation equation. The resulting turbulence model is calibrated against far field helium-air spread rate data, and validated with near source, strongly buoyant helium plume data sets. This model is more numerically stable and gives better predictions over a much broader range of mesh densities than the standard k-{var_epsilon} model for these strongly buoyant flows.},

doi = {10.2172/875637},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Sat Oct 01 00:00:00 EDT 2005},

month = {Sat Oct 01 00:00:00 EDT 2005}

}

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