# The magnetic boundary layer of the Earth as an energy-supplying channel for the processes inside the magnetosphere

## Main Article Content

## Abstract

*Quasi-viscous interaction between the solar wind plasma and the geomagnetic field regularly takes place at the boundary of the magnetosphere. Like the effect of reconnection of force lines of the Earth magnetic field and the interplanetary magnetic field (IMF) transported by the solar wind the intensity of the quasi-viscous interaction depends on the magnetic viscosity of the plasma. Anomalous increase of the value of this parameter in the MHD boundary layer of the Earth, the magnetopause is analogized with which, is connected with the variation of the solar wind perturbation. In such circumstances for presenting the development process of the magnetopause dynamics the numerical and analytical methods of mathematical modeling have been used. Their effectiveness depends on the quality of the model describing the energy transmission process from the solar wind to the magnetopause. Usually, adequacy of a model for the development dynamics of the phenomena inside the magnetosphere is assessed in this way. In this work one of such theoretical models is considered. This model is based on the Zhigulev “magnetic” equation of the MHD boundary layer, which is simplified by means of the Parker velocities kinematic model. In order to clearly show the physical mechanisms stipulating the energy transmission process from the magnetosphere boundary to its inner structures some new characteristics of the MHD boundary layers are presented: thicknesses of magnetic field induction and the energy driven into the magnetopause. Besides, in the magnetic field induction equation several models of impulsive time variation of the magnetic viscosity of the solar wind is used and by means of the sequent approximation method an analytical image of quasi-stationary variation of the magnetopause parameters correspondent to these models is presented. *

**Published:**Apr 25, 2013

## Article Details

*Journals of Georgian Geophysical Society*,

*15*, 95–108. Retrieved from https://ggs.openjournals.ge/index.php/GGS/article/view/52

## References

Krimski G.F. Romashenko U.A. Magnetohydrodynamic model of the Magnetosphere. Investigation of

Geomagn. Aeron. and Solar phys. Moscow,”Nauka”,1975, v. 36, pp.174-199. (in Russian)

Pudovkin M.L.,Semenov V.S. The reconnection theory and interaction of solar wind with the Earth’s

magnetosphere. Moscow,”Nauka”, 1985, 125p. (in Russian)

Kereselidze Z.A. MHD Effects of finite electric conductivity of solar wind near the Earth’s

Magnetosphere. Tbilisi,State Univ. Press.,1986, 122p. (in Russian)

Russel C.T., Zhuang R.J., Walker L.G., Crooker N.U.. Note on the location of the stagnation point in the

magnetosheath flow. Geoph. Res., Lett. 1981, v.8, pp.948-86.

Crooker N.U., Siscoe G.L., Eastman T.E.,Frank L.A.,Zwiscl R.D. J.Geophys.Res.,1984, vol.89,

pp.9711-19.

Dorelli J.C., Hesse M., Kuznetsova M.M., Rastaetter L. A new look at driven magnetic reconnection

at the terrestrial subsolar magnetopause. J. of Geophys. Res., 2010, v.109, A12216, doi:10.1029/2004JA010458.

Liperovsky V.A., Pudovkin M.I. Anomalous Resistivity and double layers in the magnetospheric

Plasma. Moscow,”Nauka”, 1983, 183p.(in Russian)

http:/pixie.spasci.com/DynMod, 2007.

Shue, J.-H.; Song, P.; Russell, C. T.; Steinberg, J. T.; Chao, J. K.; Zastenker, G.; Vaisberg, O. L.;

Kokubun, S.; Singer, H. J.; Detman, T. R.; Kawano, H. Magnetopause location under extreme solar wind conditions. J. of Geoph. Res., 1998,Vol. 103, Issue A8, pp. 17691-17700.

Shwec M.O. About of approximate solution of same task of hydrodynamic boundary layer. Appl.Math

and Mech. 1949, vol. 3, Issue XII, pp.253-266.

Zhonzholadz N., Chkhitunidze M. Modeling of the Magnetic Boundary Layer in the Polar Cusp. The

works compilation of Telavi State University, 2007, pp-15-19. (in Georgian)

Vanishvili G.K.,Gabisonia I.A.,Kereselidze Z.A. Plasma model with variable conductivity on the

boundary of day-side magnetosphere. Proceed. of Inst. of Geophys., Tbilisi, 2003, pp.285-293.ussian)

Parker E.N. Comments on the reconnection rate of magnetic fields. J. Plasma Physics, 1973, v.9. p.1,

pp. 49-63.

Sonnerup B.U.O. and Priest E.R. Resistive MHD stagnation-point flows at a current sheet. J. Plasma

phys., 1975,v.14, pp.283-294.

Kereselidze Z., Chkhitunidze M. On the problem of simulation of the magnetic viscosity in the

vicinity of the magnetosphere boundary. Georgian Engineering News, 2005, №2, pp.48-50.(in Russian )

Kereselidze Z. Kirtskhalia V., Chkhitunidze M., Kalandadze I. On Modeling of Magnetic Boundary

Layer on the Dayside Magnetosphere. Georgian International Journal of Sci. and Teq.,2008, ISSN 1939-5925,vol.1№3, pp.249-256.

Sutton G.W. Sherman A. Engineering magnetohydrodynamic. McGarow-Hill Book Company , 1965.

Pulkkinen A., Rastätter L., Kuznetsova M., Hesse M., Ridley M., Raeder J., Singer H.J. and Chulaki A.. Systematic evaluation of ground and geostationary magnetic field predictions generated by global magnetohydrodynamic models. J. Geophys. Res., 2010, 115, A03206, doi:10.1029/2009JA014537.

Sokolov S.N. Magnetic storms and their effects in the lower ionosphere: Differences in storms of various types. Geomagnetism and Aeronomy. 2011, vol. 51, N 6, pp. 741-752.

Kleimenova N.G., Kozyreva O.V., Manninen J., Raita T., Kornilova T.A., Kornilov I.A. High-Latitude Geomagnetic Disturbances during the Initial Phaze of a Recurrent Magnetic Storm (from February 27 to March 2, 2008). Geomagnetizm and Aeronomy, 2011, vol.51, N6, pp. 730-740.