Title: On the Derivation of Macroscopic Models for Compressible Viscoelastic Fluids using the Generalized Bracket Framework

Citation
Alexander Mackay; Timothy Phillips (2019). On the Derivation of Macroscopic Models for Compressible Viscoelastic Fluids using the Generalized Bracket Framework. Cardiff University. http://doi.org/10.17035/d.2019.0069612855


Access Rights: Data can be made freely available subject to attribution
Access Method: Click to email a request for this data to opendata@cardiff.ac.uk

Cardiff University Dataset Creators

Dataset Details
Publisher: Cardiff University
Date (year) of data becoming publicly available: 2019
Coverage start date: 01/02/2018
Coverage end date: 04/01/2019
Data format: .m
Software Required: matlab
Estimated total storage size of dataset: Less than 100 megabytes
Number of Files In Dataset: 2
DOI: 10.17035/d.2019.0069612855

Description
The generalized bracket framework is used to derive a family of compressible viscoelastic models. The framework accounts for both reversible and non-reversible dynamics and ensures that the derived models are consistent with the laws of thermodynamics. The most general compressible forms of the UCM and Oldroyd B models are derived. For these models the elastic strain energy is taken to be that for a Hookean material. Nonlinear elastic strain energy functionals are also considered and used to derive new viscoelastic models. The viscometric behaviour of these models is investigated and model predictions are compared with experimental data for Boger fluids and mLLDPE.

The following files generate Figures 1-3 in the paper:

'fenep-mp-shearsteady' generates figures 1a) and 1b):  the effect of maximal chain extension, b , on (a) shear viscosity and (b) first normal stress difference for λ0 = 1 s, µp 0 ∕ µ0 = 0 . 5 , µs 0 ∕ µ0 = 0 . 5, b = 50 , E s = 500 J and E P = 5000 J.t

'fenep-mp-shearsteady' generates figures 2a) and 2b): The effect of temperature on (a) shear viscosity and (b) first normal stress difference; λ0 = 1 s, µp 0 ∕ µ0 = 0 . 5 , µs 0 ∕ µ0 = 0 . 5, b = 50 , E s = 500 J and E p = 5000 J. The dashed line is the prediction of the Oldroyd B model.

'newexsteady.m' generates figures 3a), 3b) and 3c): the effect of (a) maximal chain extension, b , (for λ D = 0 . 01 ), (b) dissipation parameter, λ D , (c) temperature (for b = 50 ), on extensional viscosity for λ0 = 1 s, µp 0 ∕ µ0 = 0 . 5 , µs 0 ∕ µ0 = 0 . 5 . The dashed line is the prediction of the FENE-P model.

The figures can be obtained by specifying parameters (mus - solvent viscosity, mup - polymeric viscosity etc) given in the captions of the figures.

Research results based upon these data are published at https://doi.org/10.1016/j.jnnfm.2019.02.006



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Last updated on 2019-24-07 at 10:22