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Unsteady mass transfer to a droplet (bubble) in a three-dimensional shear flow

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Abstract

An exact analytic solution of the problem of unsteady convective mass transfer to a spherical droplet (bubble) from an arbitrary three-dimensional linear deformational shear flow, whose undisturbed velocity field is given by a symmetric shear tensor, is obtained in the diffusion boundary layer approximation. The dependence of the mean Sherwood number on time and the Péclet number is determined.

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Literature cited

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 111–119, November–December, 1986.

The authors are grateful to Yu. S. Ryazantsev and L. A. Chudov for their interest and useful comments.

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Polyanin, A.D., Shevtsova, V.M. Unsteady mass transfer to a droplet (bubble) in a three-dimensional shear flow. Fluid Dyn 21, 939–947 (1986). https://doi.org/10.1007/BF02628031

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  • DOI: https://doi.org/10.1007/BF02628031

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