The shape of the free surface of a liquid in axisymmetric shearing flow is characteristically different for purely viscous and visco-elastic fluids. The quantitative description of the free surface shape is based on a perturbation analysis of creeping flow for small free surface deformations. In order to perform measurements within the range of validity of the analysis, holographic interferometry is applied. The applicability of transmission and reflection holography in shearing flow is discussed and results are given for two silicone oils.

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