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

Dyfyniad
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


Hawliau Mynediad: Gall data fod ar gael yn rhad ac am ddim yn amodol ar briodoli
Dull Mynediad: I anfon cais i gael y data hwn, ebostiwch opendata@caerdydd.ac.uk

Crewyr y Set Ddata o Brifysgol Caerdydd

Manylion y Set Ddata
Cyhoeddwr: Cardiff University
Dyddiad (y flwyddyn) pryd y daeth y data ar gael i'r cyhoedd: 2019
Dyddiad dechrau creu'r data: 01.02.2018
Dyddiad gorffen creu'r data: 04.01.2019
Fformat y data: .m
Meddalwedd ofynnol: matlab
Amcangyfrif o gyfanswm maint storio'r set ddata: Llai na 100 megabeit
Nifer y ffeiliau yn y set ddata: 2
DOI: 10.17035/d.2019.0069612855

Disgrifiad
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



Prosiectau Cysylltiedig

Diweddarwyd y tro diwethaf ar 2019-24-07 am 10:22