A New RANS Model in Turbulent Channel Flow Imposed Wall-Normal Magnetic Field with Heat Transfer

Abstract

We propose a new RANS model for turbulent channel flows imposed wall-normal magnetic fields with heat transfer. This proposal model can be ensured adequate MHD effects on model functions and parameters in the turbulent eddy viscosity and the production minus destruction term of the epsilon-transport equation. With this new proposal model, the Nusselt number of several Prandtl number fluids (Pr = 0.025, 5.25 and 25) under the magnetic fields can be predicted in the range of less than 5% errors compared with the DNS database. The application possibility of this model is in the ranges of Ha²/Re_τ² less than 0.05.

Keywords:

• Liquid metal MHD
• heat transfer
• turbulence model
• blanket

Acknowledgments

This work was supported by JSPS (Japan Society for the Promotion of Science) KAKENHI Grant Number 15K05790, and this research used computational resources of SX-ACE system provided by Cyberscience Center, Tohoku University through the HPCI and JHPCN Research Projects (Project ID:hp150181 and jh160045-MDJ).