Title :
Non-linear elastic deformations of multi-phase fluid systems
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Carleton Univ., Ottawa, Ont., Canada
Abstract :
Summary form only given, as follows. Cross-linked, surface-active compounds will create an interfacial, elastic zone and alter the mechanical state and deformation behaviour of any multi-phase fluid system where this occurs. The properties of the constitutive laws for both Cauchy and Green elastic materials will be examined as models for this zone. One significant consequence is that the usual Laplace and Neumann equations of capillarity, applicable as boundary conditions for immiscible fluid phases, must be altered to reflect the presence of this elastic zone. Several examples will be considered.
Keywords :
Laplace equations; capillarity; elastic deformation; elasticity; multiphase flow; solubility; surface energy; Cauchy elastic material; Green elastic material; Laplace equation; Neumann equation of capillarity; boundary condition; immiscible fluid phase; interfacial elastic zone; multiphase fluid system; nonlinear elastic deformation; surface-active compound; Aerospace engineering; Boundary conditions; Laplace equations; Micromechanical devices;
Conference_Titel :
MEMS, NANO and Smart Systems, 2005. Proceedings. 2005 International Conference on
Conference_Location :
Banff, Alta., Canada
Print_ISBN :
0-7695-2398-6
DOI :
10.1109/ICMENS.2005.86