Underwater Explosion Bubbles Iii the Effects of the Surface And the Bottom On T
Underwater Explosion Bubbles Iii the Effects of the Surface And the Bottom On T
Ignace I Kolodner
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^ J a^(T) J For derivation, see, e. G. [2]. Experimental data indicate that Herring's formula predicts a too large migration, and the discrepancy is of the order of 50°/o for moderate explosions (300 lb. TNT), For bubbles in infinite water, bp 5, and b- < • This t^hows that our results are in qualitative agreement vrith experiraental data.
In presence of boundaries, b„ -^ 0, and it dominates the third order corrootion. We shall estimate its effect hj computing b_ at « the time of the first minimum. In this estimate, we assume that b, is appreciable only during a short time interval near the first mini- mum of the bubble, and that the bubble radius, is during most of its m. Otion. Near its maximura. Then formulae (5«8) yield, approximately, at t = 2t m (7. 11) ] . , p^ ^ 12a;^^'T:A Here, M refers to data at the maximura, m, to data at the mini- k'2 m. Um of the bubble, and A is the average value of a^a . Both IX -33- • • t Pp and p^ are positive. Using the above estimate, we noi-j get (7.
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