Abstract
The development of the Stokes layer in a liquid subjected to a constant shear force at the liquid surface with mass erosion is studied in this paper. It is shown that the velocity in the Stokes layer is weakened by surface receding and the relative decrease of the maximal liquid velocity due to surface recession is a unique function of the time normalized by the recession/diffusion balance time scale, defined as the ratio between the kinematic viscosity and the square of the receding velocity. At a time much larger than the diffusion/recession balance time scale, the role of the surface receding is rather important: instead of being pushed into the liquid at the receding velocity, the development of the Stokes layer is effectively prohibited by surface receding.
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The project supported by the National Natural Science Foundation of China (10025210) and the China NKBRSF project (2001CB409600)
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Ziniu, W. Velocity in a liquid subjected to a shear force at the liquid surface with a receding velocity. Acta Mech Sinica 19, 213–219 (2003). https://doi.org/10.1007/BF02484482
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DOI: https://doi.org/10.1007/BF02484482