Analysis of Cross-Flow Arcs in Transverse Magnetic Fields

Through the specification of two independent variables (e. g., arc current and mainstream velocity), and using appropriate phenomenological relations, the flow fields, temperature fields, and arc boundary shapes of magnetically balanced cross-flow arcs have been determined. Flow through the arc occurs at lower Reynolds numbers, Reo ~ 1; at higher Reynolds numbers a dividing streamline is formed, inside of which double vortex flow is found. Isotherms are nearly circular for the case of flow through the arc. At the higher Reynolds numbers the isotherms are non-circular throughout the cross-section with major axis transverse to the direction of flow.