dp 1 d -+ --( p r u ) = O dt r dr Equation (3) can be easily solved to yieldIn order to obtain the pressure buildup in the cavity, one can solve for the density buildup since they are interchangeable through eq. ( 1).Substituting P from eq. (1) into eq.(4) gives Substituting eq. ( 5) into eq.( 2) yields
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Chung et al. (1983) studied this question.