Summary: Fusion Engineering and Design 13 (1991) 363-380 363
Analysis of liquid metal MHD flow in multiple adjacent ducts
using an iterative method to solve the core flow equations
K.A. McCarthy and M.A. Abdou
University of California, Los Angeles, 6288 Boelter Hall, Los Angeles, CA 90024-1597, USA
Submitted 1990; accepted July 1990
Handling Editor: R.W. Conn
A computationally fast and efficient method for analyzing MHD flow at high Hartmann number and interaction parameter
is presented and used to analyze a multiple duct geometry. This type of geometry is of practical interest in fusion applications.
Because the Hartmann number and interaction parameter are generally large in fusion applications, the inertial and viscous
terms in the Navier-Stokes equation can often be neglected in the core flow region, making this equation linear. In addition,
because the magnetic fields in a fusion reactor vary slowly and the magnetic Reynolds number is small, the induced magnetic
field can be neglected. The resulting equations representing core flow have certain characteristics which make it possible to
reduce them to two dimensional without losing the three dimensional characteristics.
The method which has been developed is an "iterative" method. A velocity profile is assumed, then Ohm's law and the
current conservation equation are combined and used to solve for the potential distribution in a plane in the fluid, and in a
surface in the duct wall. The potential variation along magnetic field lines is checked, and if necessary, the velocities are
adjusted. This procedure is repeated until the potentials along field lines vary to within a specified error.
The analysis of the multiple duct geometry shows the importance of global effects. The results of two basic cases are