The linear most unstable waves generated on the surface of a stagnant planar liquid (gasoline) film with infinite thickness, blown by a high speed viscous gas (air) with a Blasius velocity profile, are computed and analyzed. The free-stream velocity of the gas ranges from 30 m/s to 50 m/s, which is typical of high speed atomization problems. The Reynolds number based on the local thickness of the boundarylayer lies between 200 and 2 500. The numerical computation shows that the dimensional wavelength of the most unstable wave is a power function of the boundary-layer thickness (or Reynolds number) with a power close to 3/4, while the growth rate is inversely proportional to the boundary-layer thickness. When reducing the boundary-layer thickness, the viscous results approach the inviscid results. This result shows that, under the present parameter range, the gas viscosity would have a secondary role on the atomization speed and important influence on the droplet size.