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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 6, Pages 11–16
(Mi pmtf3163)
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Effect of viscosity on the current layers emerging upon propagation of the Alfvén pulse in a hyperbolic magnetic field
G. I. Dudnikova, V. P. Zhukov Institute of Computational Technologies, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Abstract:
The propagation of the Alfvén pulse in the vicinity of the X-point in the presence of viscosity is studied for the first time. It is shown that, in contrast to the case of magnetosonic perturbation, where the dynamic viscosity $\eta$ (the point is that we are dealing with dimensionless quantities), which is small compared to the magnetic plasma viscosity $\nu$, does not affect the flow, this influence is of primary importance in the Alfvén case. The magnitude of the steady-state current density is proportional to $(\nu\eta)^{-1/4}$. It is also shown that at large times the distribution of the $z$-component of a magnetic field that is close to the distribution obtained in solving a linear problem is established in this significantly nonlinear problem. The effect of the heat conduction on this process is studied.
Received: 02.04.1998
Citation:
G. I. Dudnikova, V. P. Zhukov, “Effect of viscosity on the current layers emerging upon propagation of the Alfvén pulse in a hyperbolic magnetic field”, Prikl. Mekh. Tekh. Fiz., 40:6 (1999), 11–16; J. Appl. Mech. Tech. Phys., 40:6 (1999), 1002–1007
Linking options:
https://www.mathnet.ru/eng/pmtf3163 https://www.mathnet.ru/eng/pmtf/v40/i6/p11
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