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ICHMT DIGITAL LIBRARY ONLINE

ISSN 961-91393-0-5

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Year 2006

• 1Turbulence, Heat and Mass Transfer 5
Proceeding of The International Symposium on Turbulence, Heat and Mass Transfer - Dubrovnik, Croatia, September 25-29, 2006

806 pages

Volume price - $246.00

Simulation and phenomenology of turbulent magnetohydrodynamic channel flow

T. Boeck
Fakultät Maschinenbau, Technische Universitat Ilmenau, Postfach 100565, 98684 Ilmenau, Germany

D. Krasnov
Fakultät Maschinenbau, Technische Universitat Ilmenau, Postfach 100565, 98684 Ilmenau, Germany

E. Zienicke
Institut für Physik, Technische Universitat Ilmenau, Postfach 100565, 98684 Ilmenau, Germany

ABSTRACT

Mean flow properties of turbulent magnetohydrodynamic channel flow with electrically insulating channel walls are studied using direct numerical simulations. The Lorentz force due to the wall-normal magnetic field is computed in the quasistatic approximation. For strong magnetic fields, the simulations show a three-layer structure of the mean velocity profile. A viscous region near each wall and a plateau in the middle are connected by logarithmic layers. For a fixed ratio of Reynolds- and Hartmann number, the velocity profiles approach a universal shape when plotted in wall units. Increasing the Hartmann number then merely causes a broadening of the plateau. This structure of the velocity profile is used to derive a phenomenological model for the friction coefficient as function of the Reynolds- and Hartmann numbers.