Induction or creation of magnetic field is described by the induction equation:
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The first term on the right hand side of the induction equation is a diffusion term.
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While the magnetic Reynolds number is the ratio of the nonlinear term and the diffusive term of the induction equation.
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These effects can be combined in a partial differential equation for the magnetic field called the " magnetic induction equation ":
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Combining these three equations, eliminating \ vec { E } and \ vec { J }, yields the induction equation for an electrically resistive fluid:
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Using the induction equation, we can only get the conclusion that the magnetic flux through the fluid is conserved, but cannot get the conclusion that the matter of the fluid is fastened to the magnetic field lines.
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