Abstract: A set of converging soluhons of a time dependent two-fluid model of the solarwind and the corona is presented. This model is based on the heating and accelerationeffects of high-frequency waves in the frequency range between lth and 400Hz. Thishigh frequency waves are assumed to be generated by the small-scale magnehc activityin the chromospheric network. The converging property of the solution and theconservation of the mass, momentUm and energy fluxes are also described. The modelresults can explain major properies observed in top transition region, corona and thehigh speed streams in the solar wind.