Underwater Explosion Bubbles Ii the Effect of Gravity And the Change of Shape

Cover Underwater Explosion Bubbles Ii the Effect of Gravity And the Change of Shape
Underwater Explosion Bubbles Ii the Effect of Gravity And the Change of Shape
Ignace I Kolodner
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The only t&r"i of this order in the equation for the bubble radius is (f^ ao-. (t) ?-(coafe), vrhich leaves the bubble volurae unchanp:od but chan^'os its shape. Since a-, ^(t) starts at zuro and increases, as one can show fron the differential equation (5^-), this chan, ;. ' e of shape corresponds to pullf. Nc up the botton and pushing up the top, so the bubble becoines kidney-shaped x-;ith the lovrer side concave. This behavior can be seen in the flf^iires and is also in agrceraent v/ith obse...rvation. The third order correction to the rise for. ViUla can be shoi-m to start at zero and to becor. Ie nerativc, fro'':i equation (59), in a"rcer. Ient udth the numerical example and the oquilibriixu bubble. This correction is also in a;f^rcc- uient with experiment, since the liorrinj forr. Iula pre- dicts too large a rise.
All of the gravity effects dosci-ibed here are 21. Greater in ::iaf\:nituJc ^ar-c occox' \ctv ouicl-. -ly, the larger tho value of cT. '. 'ou ^ is lat^'xr fer largo cicplos ions, so all the ciTccts cU.


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