INTERFACIAL INSTABILITY OF LIQUID LAYERS ON ELASTIC SURFACES.
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1966
- Accession Number
- AD0635632
Entities
People
- Robert Dan Smith
Organizations
- Stanford University