The small-scale ejection events in the solar atmosphere detected in recent
space observations have been regarded as manifestations of small-scale magn
etic reconnection. But such reconnections generate high-frequency Alfven wa
ves. Based on this idea we set up a time-dependent, two-fluid model of coro
nal heating and solar wind acceleration. Numerical solutions are made, show
ing the time evolution, and including a discussion of their convergence and
conservation properties. Under suitable assumptions regarding the generati
on of the waves in the transition zone,the numerical solution can explain a
number of observations including coronal heating, the radial density profi
le of coronal holes, the acceleration of the wind near the bottom of the co
rona and the high-velocity streams observed at 0.3 AU.