Abstract: Based on the assumptions that the propagation of the Alfven fluctuations in coronal holes is undamped and the reasonable coronal temperatures lie in the range 9×10₅K and 2.5×10₆K, the propagation characteristics of the Alfven fluctuations in a rapidly diverging flow tube is derived, the acceptable temperature profiles, in a coronal hole are determined and the relerant Alfven fluctuation energy flux density at coronal base obtained as being 5×10₅ ergs cm^-2 sec^-1≤F_A≤1×10₆ ergs cm^-2 sec^-1 are obtained as being it seems reasonable that the acceleration by such Alfven fluctuations as discribed above is effective and sufficient for the coronal plasma to become the high speed wind streams.