A Physically-Based Fractional Diffusion Model for Semi-Dilute Suspensions of Rods in a Newtonian Fluid

[EN] The rheological behaviour of suspensions involving interacting (functionalized) rods remains nowadays incompletely understood, in particular with regard to the evolution of the elastic modulus with the applied frequency in small-amplitude oscillatory flows. In a previous work, we addressed this...

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Detalles Bibliográficos
Autores: Nadal, Enrique|||0000-0002-2808-298X, Aguado-López, Jose Vicente, Abisset-Chavanne, E., Chinesta Soria, Francisco Jose, Keunings, R., Cueto, E.
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/132936
Acceso en línea:https://riunet.upv.es/handle/10251/132936
Access Level:acceso abierto
Palabra clave:Anomalous diffusion
Fractional diffusion
Fractional Brownian motion
Fractional Fokker Planck
Suspensions rheology
FISICA APLICADA
INGENIERIA MECANICA
Descripción
Sumario:[EN] The rheological behaviour of suspensions involving interacting (functionalized) rods remains nowadays incompletely understood, in particular with regard to the evolution of the elastic modulus with the applied frequency in small-amplitude oscillatory flows. In a previous work, we addressed this issue by assuming a fractional diffusion mechanism, however the approach followed was purely phenomenological. The present work revisits the topic from a phys ical viewpoint, with the aim of justifying the fractional nature of diffusion. After accomplishing this first objective, we explore by means of numerical ex periments the consequences of the proposed fractional modelling approach in linear and non-linear rheology.