The induced magnetic field is neglected under the assumption of a small

magnetic Reynolds number.

Russian physicists Zel'dovich (1914-87) and Ruzmaikin discuss some topics in hydromagnetic dynamo theory in the astrophysical context of large

magnetic Reynolds number, define criteria for field generation in a state of near-complete freezing-in, and offer an account of certain qualitative aspects of a turbulent dynamo operating through non-uniform rotation of a conducting medium subject to random motions with helicity.

The

magnetic Reynolds number is small and the induced magnetic field is negligible.

We will assume that the

magnetic Reynolds number for the flow is small so that the induced magnetic field can be neglected.

The topics include a posteriori error estimation via nonlinear error transport with application to shallow water, enforcing discrete mass conservation in incompressible flow simulations with continuous velocity approximation, the stability of partitioned methods for magnetohydrodynamic flows at small

magnetic Reynolds number, an immersed finite element method of lines for moving interface problems with non-homogeneous flux jumps, and full Eulerian modeling and effective numerical studies for the dynamic fluid-structure interaction problem.

A low

magnetic Reynolds number means that the dynamo is weak and could soon dissipate.

The magnetic field B0 is applied perpendicular to the stretching sheet and the effect of the induced magnetic field is neglected since the

magnetic Reynolds number is assumed to be small and have constant physical properties.

The

magnetic Reynolds number is assumed to be small so that the induced magnetic field can be neglected and a constant magnetic field

Assuming that the

magnetic Reynolds number to be small, we neglect the induced magnetic field in comparison with the applied magnetic field.

The

magnetic Reynolds number is assumed to be small which implies that the induced magnetic field can be neglected compared to the applied magnetic field.

The

magnetic Reynolds number is so small that the induced magnetic field can be neglected.

They demonstrated that the rate of dipole moment decay is weakly sensitive to the particular mixing flow pattern, but varies with the

magnetic Reynolds number, a measure of the velocity of the flow.