A two dimensional model of the transition region and the lower corona, base
d on the idea that the magnetic flux is strongly concentrated at the bounda
ries of the supergranular convection cells, has been proposed by Gabriel in
1976. The plasma moves along the open magnetic field lines, which define t
he the so-called "funnel," and eventually builds up the solar wind.
Based on a two dimensional funnel model we investigate the stationary plasm
a flow at its central line, taking heat conduction, radiative losses, and a
heating function into account. The derived height profiles of the plasma p
roperties within the funnel are presented.