Abstract
In magnetohydrodynamic (MHD) flows turbulence reduction occurs due to the Joule dissipation. It results in heat transfer degradation. In open channel flows, heat transfer degradation is also caused by the turbulence redistribution near the free surface. Both effects can be significant in fusion applications with low-conductivity fluids such as molten salts. In the present study, the "K-ε" model equations for turbulent flows and the free surface boundary condition are adjusted with taking into account MHD effects. Different orientations of the magnetic field, perpendicular and parallel to the main flow, have been considered. The model coefficients have been tuned by a computer optimization using available experimental data for the friction factor. The effect of free surface heat transfer degradation due to the turbulence redistribution has been implemented through the variation of the turbulent Prandtl number. As an example, the model is used for the analysis of a turbulent MHD flow down an inclined chute with the heat flux applied to the free surface.
| Original language | English |
|---|---|
| Pages (from-to) | 693-711 |
| Number of pages | 19 |
| Journal | International Journal of Engineering Science |
| Volume | 40 |
| Issue number | 6 |
| DOIs | |
| State | Published - Mar 2002 |
| Externally published | Yes |
Funding
We gratefully acknowledge the support provided by the US Department of Energy through contract DE-FG03-88ER52150 A008. The authors also wish to express their gratitude to Prof. Hiroshi Kawamura from Science University of Tokyo for useful discussions during the First International Symposium on Turbulence and Shear Flow in Santa Barbara.
| Funders | Funder number |
|---|---|
| US Department of Energy | DE-FG03-88ER52150 A008 |
Keywords
- Heat transfer
- Joule dissipation
- Open channel flow
- Turbulence
- Two-equation model
