The extensional flow of a thin sheet of incompressible, transversely isotropic fluid

Autor:	J. Edward F. Green, Avner Friedman
Rok vydání:	2008
Předmět:	Materials science Applied Mathematics media_common.quotation_subject Mechanics Viscous liquid Inertia System of linear equations Physics::Fluid Dynamics Surface tension Flow (mathematics) Transverse isotropy Compressibility Uniqueness media_common
Zdroj:	European Journal of Applied Mathematics. 19:225-257
ISSN:	1469-4425 0956-7925
DOI:	10.1017/s0956792508007377
Popis:	Motivated by the aim of modelling the mechanical behaviour of biological gels (such as collagen gels) which have a fibrous microstructure, we consider the extensional flow of a thin two-dimensional film of incompressible, transversely isotropic viscous fluid. Neglecting inertia, and the effects of gravity and surface tension, leading-order equations are derived from a perturbation expansion of the full flow problem in powers of the (small) inverse aspect ratio. The existence and uniqueness of the solution of the reduced system of equations for small times is then proven. Special cases, in which the solution may be determined explicitly, are considered and we discuss the physical interpretation of the results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d4ad518dcdcb42e19a866774ef533550 https://doi.org/10.1017/s0956792508007377 Zobrazit plný text záznamu