# Heat transport measurements in turbulent rotating Rayleigh-Benard convection

## Abstract

We present experimental heat transport measurements of turbulent Rayleigh-Benard convection with rotation about a vertical axis. The fluid, water with Prandtl number ({sigma}) about 6, was confined in a cell which had a square cross section of 7.3 cm x 7.3 cm and a height of 9.4 cm. Heat transport was measured for Rayleigh numbers 2 x 10{sup 5} < Ra < 5 x 10{sup 8} and Taylor numbers 0 < Ta < 5 x 10{sup 9}. We show the variation of normalized heat transport, the Nusselt number, at fixed dimensional rotation rate {Omega}{sub D}, at fixed Ra varying Ta, at fixed Ta varying Ra, and at fixed Rossby number Ro. The scaling of heat transport in the range 10{sup 7} to about 10{sup 9} is roughly 0.29 with a Ro dependent coefficient or equivalently is also well fit by a combination of power laws of the form a Ra{sup 1/5} + b Ra{sup 1/3} . The range of Ra is not sufficient to differentiate single power law or combined power law scaling. The overall impact of rotation on heat transport in turbulent convection is assessed.

- Authors:

- Los Alamos National Laboratory

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 960921

- Report Number(s):
- LA-UR-08-06538; LA-UR-08-6538

Journal ID: ISSN 1539-3755; TRN: US201008%%826

- DOE Contract Number:
- AC52-06NA25396

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review E

- Additional Journal Information:
- Journal Name: Physical Review E; Journal ID: ISSN 1539-3755

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36; CONVECTION; CROSS SECTIONS; HEAT TRANSFER; HEIGHT; LAWS; NUSSELT NUMBER; POWER; PRANDTL NUMBER; RANGE; RAYLEIGH NUMBER; ROTATION; SCALING; VARIATIONS; WATER

### Citation Formats

```
Ecke, Robert E, and Liu, Yuanming.
```*Heat transport measurements in turbulent rotating Rayleigh-Benard convection*. United States: N. p., 2008.
Web.

```
Ecke, Robert E, & Liu, Yuanming.
```*Heat transport measurements in turbulent rotating Rayleigh-Benard convection*. United States.

```
Ecke, Robert E, and Liu, Yuanming. Tue .
"Heat transport measurements in turbulent rotating Rayleigh-Benard convection". United States. https://www.osti.gov/servlets/purl/960921.
```

```
@article{osti_960921,
```

title = {Heat transport measurements in turbulent rotating Rayleigh-Benard convection},

author = {Ecke, Robert E and Liu, Yuanming},

abstractNote = {We present experimental heat transport measurements of turbulent Rayleigh-Benard convection with rotation about a vertical axis. The fluid, water with Prandtl number ({sigma}) about 6, was confined in a cell which had a square cross section of 7.3 cm x 7.3 cm and a height of 9.4 cm. Heat transport was measured for Rayleigh numbers 2 x 10{sup 5} < Ra < 5 x 10{sup 8} and Taylor numbers 0 < Ta < 5 x 10{sup 9}. We show the variation of normalized heat transport, the Nusselt number, at fixed dimensional rotation rate {Omega}{sub D}, at fixed Ra varying Ta, at fixed Ta varying Ra, and at fixed Rossby number Ro. The scaling of heat transport in the range 10{sup 7} to about 10{sup 9} is roughly 0.29 with a Ro dependent coefficient or equivalently is also well fit by a combination of power laws of the form a Ra{sup 1/5} + b Ra{sup 1/3} . The range of Ra is not sufficient to differentiate single power law or combined power law scaling. The overall impact of rotation on heat transport in turbulent convection is assessed.},

doi = {},

journal = {Physical Review E},

issn = {1539-3755},

number = ,

volume = ,

place = {United States},

year = {2008},

month = {1}

}