Repositorio de producción científica de la Universidad de Sevilla

Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions

Opened Access Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Narbona-Reina, Gladys
Bresch, Didier
Departamento: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Fecha: 2013
Publicado en: ESAIM: Mathematical modelling and numerical analysis, 47, 1627-1655
Tipo de documento: Artículo
Resumen: In this work, depending on the relation between the Deborah, the Reynolds and the aspect ratio numbers, we formally derived shallow-water type systems starting from a micro-macro description for non-Newtonian fluids in a thin domain governed by an elastic dumbbell type model with a slip boundary condition at the bottom. The result has been announced by the authors in [G. Narbona-Reina, D. Bresch, Numer. Math. and Advanced Appl. Springer Verlag (2010)] and in the present paper, we provide a self-contained description, complete formal derivations and various numerical computations. In particular, we extend to FENE type systems the derivation of shallowwater models for Newtonian fluids that we can find for instance in [J.-F. Gerbeau, B. Perthame, Discrete Contin. Dyn. Syst. (2001)] which assume an appropriate relation between the Reynolds number and the aspect ratio with slip boundary condition at the bottom. Under a radial hypothesis at the leading order, for small Deborah number, we fi...
[Ver más]
Cita: Narbona-Reina, G. y Bresch, D. (2013). Two shallow-water type models for viscoelastic flows from kinetic theory for polymers solutions. ESAIM: Mathematical modelling and numerical analysis, 47, 1627-1655.
Tamaño: 776.7Kb
Formato: PDF

URI: http://hdl.handle.net/11441/32422

DOI: http://dx.doi.org/10.1051/m2an/2013081

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones