In this paper we present a parameter study of a two-fluid and a one-fl
uid model of the solar wind where coronal heating and solar wind accel
eration is treated as one problem. To study the energy balance in the
corona/solar wind system, we consider a ''mechanical'' energy flux ema
nating from the Sun which is transferred to the coronal plasma as heat
with a characteristic dissipation length of a few tenths of a solar r
adius. The mechanical energy flux adding energy to the coronal plasma
as heat is varied, and the dissipation length of the mechanical energy
flux and the fraction of the energy added to protons (electrons) are
varied. The low heat conductivity in the proton gas and the relatively
weak thermal coupling between electrons and protons cause large tempe
rature differences in the corona. In two-fluid models with electron he
ating and in one-fluid models, a larger fraction of the mechanical ene
rgy flux is lost as heat conduction and radiation than in two-fluid mo
dels with pure proton heating. In all models where an energy flux is a
dded to the quasi-static corona as heat, the asymptotic flow speed is
low. We demonstrate how a flux of Alfven waves emanating from the Sun
can accelerate the thermally driven solar wind to asymptotic flow spee
ds higher than the Sun's escape speed.