Interfacial Instability of Liquid Layers on Elastic Surfaces
Author | : Robert Dan Smith |
Publisher | : |
Total Pages | : 184 |
Release | : 1966 |
ISBN-10 | : STANFORD:36105046319484 |
ISBN-13 | : |
Rating | : 4/5 (84 Downloads) |
Download or read book Interfacial Instability of Liquid Layers on Elastic Surfaces written by Robert Dan Smith and published by . This book was released on 1966 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability criteria associated with representations, of liquid layers which are in contact with flexible surfaces, are investigated theoretically by means of a linear vibration analysis. Such representations serve as mathematical models for situations involving the consideration of the stability of either a liquid stored in the elastic container of a space vehicle operating under low gravity conditions, or of the liquid phase of a material which is undergoing ablation from a flexible heat shield. The representation of the liquid layer consists of an incompressible, inviscid fluid which is subjected to a net unidirectional body force of constant intensity g and which is stored in a two-dimensional channel having a flexible floor. Irrotational flow is assumed and the cross section of the channel is restricted to the cases of a rectangle and the sector of an annulus. The equilibrium liquid-gas interface, in which the effect of surface tension is taken into account, is assumed flat for the rectangular case and to constitute a portion of a circular cylinder in the annular case. In the rectangular case the flexible floor is characterized as a uniform thin flat plate with zero in-plane edge restraint.