Show that the velocity field is irrotational ? = ??u = 0. For this purely radialmotion, sketch paths of fluid elements to convince yourself that this result isreasonable.85(c) Write down the radial component of the momentum equation, which after substitutionof (284) can be viewed as a differential equation for p. Integrate theequation to arrive at1?[p(r, t) – p(8, t)] = 1rddt R2dRdt -R42r4dRdt 2. (285)Evaluate at the bubble surface r = R to obtain an equation for the pressure inthe liquid just at the edge of the bubble boundary.
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