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Open-surface MHD flow over a curved wall in the 3-D thin-shear-layer approximation

Summary: Open-surface MHD flow over a curved wall
in the 3-D thin-shear-layer approximation
S. Smolentsev *, M. Abdou
Department of Mechanical and Aerospace Engineering, Fusion Sciences and Technology Group,
UCLA, 44-114 Engineering IV, 420 Westwood Pza, Los Angeles, CA 90095-1597, USA
Received 1 November 2002; received in revised form 1 May 2004; accepted 19 July 2004
Available online 13 October 2004
3-D thin-shear-layer equations for flows of conducting fluids in a magnetic field have been derived in
orthogonal body-oriented coordinates and then applied to the analysis of MHD open-surface flows over
a curved wall. Unlike the classic boundary-layer-type equations, present ones permit information to be
propagated upstream through the induced magnetic field. Another departure from the classic theory is that
the normal momentum equation keeps the balance between the pressure gradient term, and those related to
gravity, centrifugal forces, and Lorentz force. Thus, the normal pressure variations are allowed. The model
describes basic 3-D effects due to the wall curvature and spatial variations of the applied magnetic field. As
a particular case, equations for flows with rotational symmetry have been derived. Numerical calculations
were performed for open-surface flows over a body of revolution under conditions relevant to a fusion reac-
tor (Hartmann number is 8500). Some specific flow patterns, such as flow thickening and spiral-type flows,
have been observed and discussed. A special attention has been paid to the analysis of the magnetic pro-
pulsion as a tool for the active flow control by applying an electric current. It has been shown that depend-


Source: Abdou, Mohamed - Fusion Science and Technology Center, University of California at Los Angeles


Collections: Plasma Physics and Fusion