# A thermodynamic approach to rheology of complex fluids: The generalized BMP model

@article{Manero2007ATA, title={A thermodynamic approach to rheology of complex fluids: The generalized BMP model}, author={O. Manero and J. H. P{\'e}rez-L{\'o}pez and J. Escalante and J. E. Puig and F. Bautista}, journal={Journal of Non-newtonian Fluid Mechanics}, year={2007}, volume={146}, pages={22-29} }

Abstract In this paper, a set of constitutive relationships arising from the coupling of stress with concentration, are derived using the extended irreversible thermodynamics formalism. In complex fluids that present flow-induced changes in their internal structure, the stress constitutive equation is coupled to an evolution equation of a scalar representing the flow-induced modifications in the internal structure of the fluid, and to the constitutive equation for the mass flux. In particular… Expand

#### 37 Citations

Inhomogeneous Flow of Wormlike Micelles: Predictions of the Generalized BMP Model with Normal Stresses

- Physics
- 2019

In this work, we examine the shear-banding flow in polymer-like micellar solutions with the generalized Bautista-Manero-Puig (BMP) model. The couplings between flow, structural parameters, and… Expand

On the modelling of the shear thickening behavior in micellar solutions

- Chemistry
- Rheologica Acta
- 2016

AbstractThe steady and transient nonlinear rheological behaviors of dilute rod-like micellar solutions are predicted here with a particular case of the generalized Bautista–Manero–Puig (BMP) model… Expand

Stability analysis of shear banding flow with the BMP model

- Physics
- 2007

Abstract The Bautista–Manero–Puig (BMP) model, consisting of the upper-convected Maxwell constitutive equation coupled to a kinetic equation that takes into account structural changes induced by… Expand

On diffusive variants of some classical viscoelastic rate-type models.

- Physics
- 2019

We present a thermodynamically based approach to the design of models for viscoelastic fluids with stress diffusion effect. In particular, we show how to add a stress diffusion term to some standard… Expand

Derivation of the mechanical and thermodynamic potentials from the generalized BMP model under shear-banding flow

- Physics
- 2014

Abstract In this work, we demonstrate that the thermodynamic potential calculated from the steady-state flow curve using the definition of free energy from irreversible thermodynamics, and the… Expand

Dissipative structures in shear-thickening complex fluids

- Physics
- 2018

The main objective of this work is to demonstrate that non-local terms of the structure variable and shear-stress is a sufficient condition to predict multiple bands in rheologically complex fluids,… Expand

Inhomogeneous flows and shear banding formation in micellar solutions: Predictions of the BMP model

- Materials Science
- 2012

Abstract The shear-banding flow in polymer-like micellar solutions is examined here with the Bautista–Manero–Puig (BMP) model. The expressions derived from the constitutive equations of the model, in… Expand

Mechanistic constitutive model for wormlike micelle solutions with flow-induced structure formation

- Materials Science, Physics
- 2017

We present a tensor constitutive model for predicting stress and flow-induced structure formation in dilute wormlike micellar solutions. The micellar solution is treated as a dilute suspension of… Expand

Rheological modeling of both shear-thickening and thinning behaviors through constitutive equations

- Materials Science
- 2020

Abstract Shear-thickening and thinning behaviors are often observed in the rheological measurements of dilute surfactant solutions with drag-reducing ability in wall-bounded turbulent flows. This… Expand

The interface migration in shear-banded micellar solutions

- Chemistry
- Rheologica Acta
- 2017

In this work, we study the diffusion of the interface between bands in wormlike micellar solutions that exhibit shear banding flow regimes, namely, systems undergoing coexistence of states of… Expand

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