The dynamics of coaxial plumes that consist of an inner, humid plume and an outer, less humid plume has been studied analytically, however, only for the case of a stationary ambient. The present study extends the previous theoretical model by incorporating the effect of a windy ambient for both single and multiple cooling tower cell cases. Of particular concern is the choice of an appropriate entrainment assumption associated with wind shear and the modeling of entrainment between the inner and outer plumes. Two entrainment formulations are proposed regarding the entrainment from the inner to the outer plume. Meanwhile, two body force formulations for the inner plume are discussed. In terms of plume abatement, a visible plume length, defined on the basis of the predicted plume trajectory and relative humidity, is used to evaluate the severity of visible plumes under different operating and environmental conditions. By extension, and with fixed wind speed and cooling tower operating conditions, the parameter range of environmental conditions where fog is restricted to the inner plume is determined.