71030 20190709135514.0 doi 10.1016/j.apm.2017.06.009 sideral 101588 ART-2017-101588 eng Nadal, Enrique A physically-based fractional diffusion model for semi-dilute suspensions of rods in a Newtonian fluid 2017 Access copy available to the general public Unrestricted The rheological behavior 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 physical viewpoint, with the aim of justifying the fractional nature of diffusion. After accomplishing this first objective, we explore by means of numerical experiments the consequences of the proposed fractional modeling approach in linear and non-linear rheology. info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.617 2017 MECHANICS 25 / 134 = 0.187 2017 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 15 / 103 = 0.146 2017 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 18 / 86 = 0.209 2017 Q1 T1 0.876 2017 Modeling and Simulation 2017 Q1 Applied Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Aguado, José Vicente Abisset-Chavanne, Emmanuelle Chinesta, Francisco Keunings, Roland (orcid)0000-0003-1017-4381 Cueto, Elías Universidad de Zaragoza 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 51 (2017), 58-67 Appl. math. model. APPLIED MATHEMATICAL MODELLING 0307-904X 1383541 http://zaguan.unizar.es/record/71030/files/texto_completo.pdf Postprint 50786 http://zaguan.unizar.es/record/71030/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:71030 articulos driver 2019-07-09-11:54:16 ARTICLE