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- W4253684927 abstract "To understand the process of magnetic field regeneration, this chapter studies the induction equation with stationary flows. Many stationary flows of homogeneous conducting fluids in a sphere are known to be linearly stable to the growth of small magnetic fields. However, the nonnormal nature of the governing operator means that transient growth may occur and small perturbations may grow at vastly subcritical values of the magnetic Reynolds number (Rm), Rm, of 0(10). The chapter presents two characterizations of transience: maximixed instantaneous energy growth and energy growth envelopes. Such instabilities may lead the linear system into a nonlinear regime—through the action of the Lorentz force on the flow—at much lower values of Rm than expected from eigenvalue calculations." @default.
- W4253684927 created "2022-05-12" @default.
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- W4253684927 date "2003-01-01" @default.
- W4253684927 modified "2023-10-18" @default.
- W4253684927 title "The growth of magnetic field energy in conducting fluids" @default.
- W4253684927 doi "https://doi.org/10.1016/b978-008044046-0/50245-1" @default.
- W4253684927 hasPublicationYear "2003" @default.
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