The Completed Second Kind Boundary Integral Equation Method for the Deformation of a Gas Bubble Due to Low Reynolds Number Flow

作者: H. Power , B. F. de Power

DOI: 10.1007/978-94-011-2872-8_14

关键词: CompressibilityBubbleMathematical analysisRotational symmetryIntegral equationBoundary value problemMathematicsDouble layer potentialReynolds numberReynolds equation

摘要: The time-dependent deformation of an incompressible or compressible gas bubble, due to the action shear at bubble surface exerted by external fluid, low Reynolds number, is formulated as a second boundary value problem for Stokes’ equations. This solved via Fredholm’s integral equation kind, that leads unique velocity regardless any axisymmetric property. It shown in case evolution qualitatively similar corresponding viscous drop, however, behavior different.

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