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DNS OF TURBULENT PIPE FLOW IN A TRANSVERSE MAGNETIC FIELD

Shin-ichi Satake
Department of Applied Electronics, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585 Japan

Tomoaki Kunugi
Department of Nuclear Engineering, Kyoto University, Kyoto Daigaku-Katsura, Nishikyo-ku, Kyoto, Japan

Sergey Smolentsev
UCLA, Department of Mechanical and Aerospace Engineering Los Angeles С A 90095-1597

Résumé

A direct numerical simulation (DNS) of turbulent pipe flow with a constant transverse magnetic field has been carried out to grasp and understand the effects of electromagnetic suppression of turbulence caused by a constant transverse magnetic field. In this study, the Reynolds number based on a bulk velocity and a pipe diameter was set to be constant; Reb = 5300. The magnetic field at Ha = 5, 10, 20, taken from the electrical potential equation was applied to a constant transverse magnetic field. In the flow field, the Lorenz forces act on radial and circumferential components of momentum equation with cylindrical coordinate. The number of computational grids used in this study was 256 × 128 × 128 in the z-, r- and Ø- directions, respectively. The turbulent quantities such as the mean flow, turbulent stresses and the turbulent statistics were obtained via present DNS. The mean velocity and turbulent intensities distributed circumferentially and is damped quickly near the top of the pipe (Ø = 0). The reason of this behavior can be considered that the Hartman layer drastically changes to the circumferential direction.