Abstract
Current sheets play a crucial role in determining the physics of magnetic reconnection in solar flares. We investigate the structure of a reconnecting visco-resistive (VR) current sheet in two dimensional steady incompressible MHD. We review a number of solutions that demonstrate that several distinct potential length scalings may emerge for VR reconnection. We find a criterion for the presence of a VR length scale in magnetic flux pile-up solutions and we utilise a series expansion technique in order to describe the inner solution of a VR current sheet. We posit that a VR length scale is the fundamental length scale of a VR current sheet and its absence is purely a feature of a limited class of particular solutions for the inflow velocity profile.
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