Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
Show others and affiliations
2016 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 311, 114-141 p.Article in journal (Refereed) Published
Resource type
Text
Abstract [en]

This work is concerned with the numerical solution of the K-BKZ integral constitutive equation for two-dimensional time-dependent free surface flows. The numerical method proposed herein is a finite difference technique for simulating flows possessing moving surfaces that can interact with solid walls. The main characteristics of the methodology employed are: the momentum and mass conservation equations are solved by an implicit method; the pressure boundary condition on the free surface is implicitly coupled with the Poisson equation for obtaining the pressure field from mass conservation; a novel scheme for defining the past times t' is employed; the Finger tensor is calculated by the deformation fields method and is advanced in time by a second-order Runge-Kutta method. This new technique is verified by solving shear and uniaxial elongational flows. Furthermore, an analytic solution for fully developed channel flow is obtained that is employed in the verification and assessment of convergence with mesh refinement of the numerical solution. For free surface flows, the assessment of convergence with mesh refinement relies on a jet impinging on a rigid surface and a comparison of the simulation of a extrudate swell problem studied by Mitsoulis (2010) [44] was performed. Finally, the new code is used to investigate in detail the jet buckling phenomenon of K-BKZ fluids.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 311, 114-141 p.
Keyword [en]
Integral K-BKZ constitutive equation, Deformation fields, Implicit method, Finite difference, Analytic solution in channel flow, Free surface, Jet buckling
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-183602DOI: 10.1016/j.jcp.2016.01.032ISI: 000370386300006Scopus ID: 2-s2.0-84957057770OAI: oai:DiVA.org:kth-183602DiVA: diva2:913162
Note

QC 20160316

Available from: 2016-03-19 Created: 2016-03-18 Last updated: 2016-03-19Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Vynnycky, Michael
By organisation
Materials Science and Engineering
In the same journal
Journal of Computational Physics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 27 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf