Modified Bautista–Manero (MBM) modelling for hyperbolic contraction–expansion flows

Abstract

In this study, modelling of network-structured material flow is considered through a rounded-corner, hyperbolic 4:1:4 contraction-expansion geometry, under axisymmetric configuration. Three representative constitutive models are adopted to represent networked behaviour and to investigate the flow of wormlike micellar fluids in this context. This includes the modified Bautista-Manero (MBM) model (for base thixotropic properties), some newly proposed micellar models (NM_τ p and NM_T; for advanced thixotropic modelling), and the EPPT model (for contrast against non-thixotropic properties). In this configuration, emphasis is placed upon interpretation of flow behaviour for these constitutive models, against their response in simple rheometrical flows. To best determine the factors that contribute to epd prediction, current findings have also been contrasted against those reported earlier in López-Aguilar et al. (J Non-Newtonian Fluid Mech 204:7-21, 2014), for the counterpart abrupt rounded-corner, axisymmetric 4:1:4 contraction-expansion flow.

Perspectives on viscoelastic flow instabilities and elastic turbulence

“…For example, the work by Sasmal [457] uses the VCM model to simulate the response of WLM solutions in expansion-contraction configuration, perhaps representative of a porous medium. Taking the Bautista-Manero family of fluids as a base, a series of simulation exercises by Lpez-Aguilar and collaborators [447,[458][459][460][461][462][463] proposed modifications of a group of constitutive equations to predict the response of WLMs in different contraction-expansion settings. Here, axisymmetric rounded and sharp-cornered and hyperbolic geometries under the benchmark 4:1 and a more stringent 10:1 aspect ratio have been studied.…”