The Effect of Non Spherical Shape On the Motion of a Rising Underwater Gas Bubbl
The Effect of Non Spherical Shape On the Motion of a Rising Underwater Gas Bubbl
Max Shiffman
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S. Smith, DSR, British Admiralty Delegation, -0 Box 165, Benjamin Franklin Station, Vi/ashington, D. C. 5 - for transmission 1 - for file 1 Naval Bureau of Ordnance Marked attention R. J. Seeger 2 War Department Liaison Officer 1 - marked attention Dr. Hans Be the 4 Goardin&tor sf P. Oaat^ch and Devolop^ont, Navy Pepartnent r. Iarked attention Ror. R Adn. Iral H. S, Howard 3 A. H. Taub THE EFFECT CF N0N-3PHERICi. L SHA^E ON THE MOTIOM OF L RISING UlTDERVVATER G/. S BUBBLE (Preliminary Memorandu...m) by Max Shiffman 1 • L^!^_rodu ction The problem under consideration is the motion of a pulsating gas bubble, produced by an underwater explosion, as influenced by the buoyant force due to gravitation. This pro- blem was first considered by C. Herring, using a perturbation method. It was then taken up by G. I. Taylor, who integrated the exact equations und^r the assumption that the bubble re- mains spherical in shape. In the present work, this assumption is v/eakened by allowing deviations from spherical symmetry but supposing them to be small.
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