Existence and Stability of Solutions for Steady Flows of Fibre Suspension Flows

Autor:	Justin Manango W. Munganga
Rok vydání:	2012
Předmět:	Physics::Fluid Dynamics Computational Mathematics Mathematical optimization Mathematical model Applied Mathematics Mathematical analysis Perturbation (astronomy) Uniqueness Condensed Matter Physics Hagen–Poiseuille equation Couette flow Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Fluid Mechanics. 15:197-214
ISSN:	1422-6952 1422-6928
DOI:	10.1007/s00021-012-0108-z
Popis:	We establish existence, uniqueness, convergence and stability of solutions to the equations of steady flows of fibre suspension flows. The existence of a unique steady solution is proven by using an iterative scheme. One of the restrictions imposed on the data confirms a well known fact proven in Galdi and Reddy (J Non-Newtonian Fluid Mech 83:205–230, 1999), Munganga and Reddy (Math Models Methods Appl Sci 12:1177–1203, 2002) and Munganga et al. (J Non-Newtonian fluid Mech 92:135–150, 2000) that the particle number N p must be less than 35/2. Exact solutions are calculated for Couette and Poiseuille flows. Solutions of Poiseuille flows are shown to be more accurate than those of Couette flow when a time perturbation is considered.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a524f380e3380d29daac2df571162165 https://doi.org/10.1007/s00021-012-0108-z Zobrazit plný text záznamu Full text from SpringerLink