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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Show that the velocity field is irrotational ? = ??u = 0. For this purely radial motion, sketch paths of fluid elements to convince yourself that this result is reasonable.85(c) Write down the radial component of the momentum equation, which after substitution of (284) can be viewed as a differential equation for p. Integrate the equation 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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