On the inversion of Laplace transforms by linear programming

✍ Scribed by J.R.A. Pearson; G.M. Richards; H. Skoczylas

• Publisher: Elsevier Science
• Year: 1964
• Tongue: English
• Weight: 367 KB
• Volume: 19
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(64)85013-2

✦ Synopsis

Shorter Communications truly circular leading edge but, as before, the stable shape is reached after about 0.4 sec.

These observations can be compared with the results of the elegant experiment of WALTERS and DAVIDSON [l] where the initial motion of a two-dimensional bubble was observed without the general fluid disturbance that follows sudden air injection. WALTERS and DAVIDSON'S bubbles preserved a smooth circular upper margin throughout their development, the liquid spout from the base was much thicker than shown here and grew in such a way that it cut off a symmetrical pair of daughter bubbles that formed a wake to the parent.

It seems therefore that the break-up of a comparatively large bubble may be caused by irregularities in the liquid flow around its upper surface. If irregularities in the flow, such as those produced by the sudden formation of the bubble in the liquid, develop near the front stagnation point, splitting of the bubble may follow.