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Magnetohydrodynamic flow around the nonmetallic inclusions in aluminum melt and the force exerted on the inclusions were explored by dimensional analysis and numerical calculations. Dimensional analysis shows that the invariant $$A = {{JB\rho _f d_p^3 } \over {\mu _f^2 }}$$ characterizes the force exerted on the inclusions and the flow intensity of the melt. The physical significance of A is...
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