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Theory of Initial Growth of a Microcavity in a Liquid Metal Around a Gas-Releasing Particle. Part 1. Physical and Mathematical Models

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Abstract

Certain inhomogeneities in a liquid can act as bubble nucleation centers. If such a center is a source of gas on a considerable scale, the bubble can grow rapidly to an appreciable size. The following model is proposed for analyzing this process: a solid sphere (compound containing a gas-forming element such as hydrogen) is surrounded by a liquid metal. The initial equations are as follows: the Navier-Stokes equation, in which there are terms containing the concentration of the gas component; the equation of continuity; and the equation for the convective diffusion of the gas component in the liquid metal. The growth of the bubble obeys an integrodifferential equation derived here, which reflects the effects of the hydrodynamic, diffusion, and capillary factors.

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Authors and Affiliations

  1. Institute for Problems of Materials Science, National Academy of Sciences of Ukraine, ul. Krzhizhanovskogo 3, Kiev, Ukraine, 03142

    Alexander I. Raichenko

  2. National Technical University of Ukraine «Kiev Polytechnic Institute”, Prospect Pobedy 37, Kiev, Ukraine, 04056

    Alexandra V. Byakova

Authors
  1. Alexander I. Raichenko
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  2. Alexandra V. Byakova
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Raichenko, A.I., Byakova, A.V. Theory of Initial Growth of a Microcavity in a Liquid Metal Around a Gas-Releasing Particle. Part 1. Physical and Mathematical Models. Powder Metallurgy and Metal Ceramics 40, 606–611 (2001). https://doi.org/10.1023/A:1015288121680

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  • DOI: https://doi.org/10.1023/A:1015288121680

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