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2. A small air bubble is rising in a liquid under creeping flow. Write the biharmonic...

2. A small air bubble is rising in a liquid under creeping flow. Write the biharmonic equation and boundary conditions (it is the boundary conditions that differ greatly for the case of solid sphere). If ψ = r.f(θ), obtain a fully solution and show that the drag on the sphere is 4πµRU where U is the terminal velocity and R is the bubble radius. Calculate its Brownian diffusivity.

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