# Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders

## Abstract

Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders was studied numerically for various pertinent parameters such as Richardson number, Reynolds number, non-dimensional rotation speed of the cylinder, and the location of the cylinders. The results from these simulations were validated using an open-source spectral element code, Nek5000. The results of this study were presented in terms of streamlines, isotherms, local and average Nusselt number, and temperature profiles. The results illustrated that the average Nusselt number depends strongly on the rotation speed of the cylinder, Reynolds number, and Richardson number. However, the average Nusselt number was found to be independent of the rotation speed at high Richardson number (Ri = 10). In addition, the direction of the rotation speed of the cylinders has a profound effect on the average Nusselt. Finally, the study illustrated that the magnitude and direction of the rotation speed of the cylinders have a significant effect on the flow pattern and isotherms.

- Authors:

- Australian College of Kuwait, Safat (Kuwait). Mechanical Engineering Dept.; Univ. of Guelph, Guelph, ON (Canada).School of Engineering, Advanced Manufacturing Lab. (AML)
- Argonne National Lab. (ANL), Argonne, IL (United States). Computational Science Division
- Univ. of California, Riverside, CA (United States). Mechanical Engineering Dept.

- Publication Date:

- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

- OSTI Identifier:
- 1531157

- Grant/Contract Number:
- AC02-06CH11357

- Resource Type:
- Accepted Manuscript

- Journal Name:
- International Journal of Thermal Sciences

- Additional Journal Information:
- Journal Volume: 135; Journal Issue: C; Journal ID: ISSN 1290-0729

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Heat transfer; Laminar; Mixed convection; Rotating cylinders

### Citation Formats

```
Khanafer, K., Aithal, S. M., and Vafai, K. Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders. United States: N. p., 2018.
Web. doi:10.1016/j.ijthermalsci.2018.07.020.
```

```
Khanafer, K., Aithal, S. M., & Vafai, K. Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders. United States. doi:10.1016/j.ijthermalsci.2018.07.020.
```

```
Khanafer, K., Aithal, S. M., and Vafai, K. Fri .
"Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders". United States. doi:10.1016/j.ijthermalsci.2018.07.020. https://www.osti.gov/servlets/purl/1531157.
```

```
@article{osti_1531157,
```

title = {Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders},

author = {Khanafer, K. and Aithal, S. M. and Vafai, K.},

abstractNote = {Mixed convection heat transfer in a differentially heated cavity with two rotating cylinders was studied numerically for various pertinent parameters such as Richardson number, Reynolds number, non-dimensional rotation speed of the cylinder, and the location of the cylinders. The results from these simulations were validated using an open-source spectral element code, Nek5000. The results of this study were presented in terms of streamlines, isotherms, local and average Nusselt number, and temperature profiles. The results illustrated that the average Nusselt number depends strongly on the rotation speed of the cylinder, Reynolds number, and Richardson number. However, the average Nusselt number was found to be independent of the rotation speed at high Richardson number (Ri = 10). In addition, the direction of the rotation speed of the cylinders has a profound effect on the average Nusselt. Finally, the study illustrated that the magnitude and direction of the rotation speed of the cylinders have a significant effect on the flow pattern and isotherms.},

doi = {10.1016/j.ijthermalsci.2018.07.020},

journal = {International Journal of Thermal Sciences},

number = C,

volume = 135,

place = {United States},

year = {2018},

month = {9}

}