Watson, P.G.Craig, Ian J.D.2008-11-042008-11-041997-01Watson, P.G. & Craig, I.J. (2005). Analytic solutions of the magnetic annihilation and reconnection problems. I. Planar flow profiles. Physics of Plasmas, 4, 101.1070-664Xhttps://hdl.handle.net/10289/1272The phenomena of steady-state magnetic annihilation and reconnection in the vicinity of magnetic nulls are considered. It is shown that reconnective solutions can be derived by superposing the velocity and magnetic fields of simple magnetic annihilation models. These solutions contain most of the previous models for magnetic merging and reconnection, as well as introducing several new solutions. The various magnetic dissipation mechanisms are classified by examining the scaling of the Ohmic diffusion rate with plasma resistivity. Reconnection solutions generally allow more favorable "fast" dissipation scalings than annihilation models. In particular, reconnection models involving the advection of planar field components have the potential to satisfy the severe energy release requirements of the solar flare. The present paper is mainly concerned with magnetic fields embedded in strictly planar flows—a discussion of the more complicated three-dimensional flow patterns is presented in Part II [Phys. Plasmas 4, 110 (1997)].application/pdfenCopyright 1997 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the journal Physics of Plasmas and may be found at http://jmp.aip.org/jmp/top.jspmathematicsmagnetohydrodynamicssolar flaresanalytical solutionmagnetic reconnectionthree-dimensional calculationsmagnetic fieldssunplasma magnetohydrodynamicsplasma theorysolar flaresastrophysical plasmaplasma transport processesJournal Article10.1063/1.872569