Series of three two-dimensional simulations of the stellar wind in the equatorial plane of Cygnus X-1 with an increasing α parameter. These simulations disregard the effects of the X-ray ionization on the dynamics of the wind. Additionally, the k parameter is kept constant at 0.25. A clear trend of a shrinking gaseous tail and decreasing matter captured in the vicinity of the compact companion with increasing α is evident. The three upper panels shows the density distribution after the solution reached the quasi-stationary state, ~3P_orb. The lower panels represent corresponding velocity magnitude plots. (This figure is available in colour in the electronic version of the paper.)