ASYMPTOTIC SOLUTIONS OF HYDRODYNAMIC INTERFACIAL INSTABILITIES IN CYLINDRICAL FLOW

Sung-Ik Sohn
2013 The Pure and Applied Mathematics  
We present a high-order potential flow model for the motion of hydrodynamic unstable interfaces in cylindrical geometry. The asymptotic solutions of the bubbles in the gravity-induced instability and the shock-induced instability are obtained from the high-order model. We show that the model gives significant high-order corrections for the solution of the bubble.
doi:10.7468/jksmeb.2013.20.4.259 fatcat:fw4aoc3nuramjcwynkjt4guzzy