Sphering of a Liquid-Filled Membrane
The effect of the initial shape on the deformed configuration is discussed. Under variable submergence the membrane goes through a series of sessile configurations and finally spheres when it is completely submerged. No a priori assumption is made as to the ability of the membrane to sphere. The depth of submergence corresponding to a deformed shape is calculated inversely by utilizing the Archimedes principle. the governing equations, which are nonlinear ordinary differential-integral type, are solved numerically by the Runge-Kutta integration process using S/360 Computer Systems Modeling Program. The problem suggests numerous applications to osmosis membrane structures in desalination plants, preservationof certain biological organs and organisms, and underwater technology.
X. J. Avula, "Sphering of a Liquid-Filled Membrane,", Jan 1972.
Mechanical and Aerospace Engineering
Article - Journal