A recently demonstrated aerodynamic levitation technique is used to perform
contactless viscosity measurements. Classical models dealing with free osc
illations of droplets without gravity cannot correctly describe the corresp
ondence between damping coefficient and viscosity. An energetic approach ta
king into account the shape of the drop, and the velocity field of the liqu
id inside the drop, is introduced, leading to good agreement between experi
mental measurements and known viscosities of glycerol-water mixtures. Nonli
near effects are also investigated and experimental results are compared wi
th the theory of anharmonic oscillations.