Transient computations using the natural stress formulation for solving sharp corner flows

J. D. Evans, C. M. Oishi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this short communication, we analyse the potential of the natural stress formulation (NSF) (i.e. aligning the stress basis along streamlines) for computing planar flows of an Oldroyd-B fluid around sharp corners. This is the first attempt to combine the NSF into a numerical strategy for solving a transient fluid flow problem considering the momentum equation in Navier–Stokes form (the elastic stress entering as a source term) and using the constitutive equations for natural stress variables. Preliminary results of the NSF are motivating in the sense that accuracy of the numerical solution for the extra stress tensor is improved near to the sharp corner. Comparison studies among the NSF and the Cartesian stress formulation (CSF) (i.e. using a fixed Cartesian stress basis) are conducted in a typical benchmark viscoelastic fluid flow involving a sharp corner: the 4: 1 contraction. The CSF needs a mesh approximately 10 times smaller to capture similar near singularity results to the NSF.

LanguageEnglish
Pages48-52
Number of pages5
JournalJournal of Non-Newtonian Fluid Mechanics
Volume249
DOIs
StatusPublished - 1 Nov 2017

Fingerprint

corner flow
formulations
Formulation
Cartesian
Fluid Flow
fluid flow
Flow of fluids
Oldroyd-B Fluid
Viscoelastic Flow
Transient Flow
Viscoelastic Fluid
Stress Tensor
Streamlines
Constitutive Equation
Source Terms
Navier-Stokes
constitutive equations
stress tensors
Contraction
Constitutive equations

Keywords

  • Natural stress formulation
  • Oldroyd-B model
  • Planar contraction
  • Sharp corner
  • Unsteady viscoelastic flows

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Transient computations using the natural stress formulation for solving sharp corner flows. / Evans, J. D.; Oishi, C. M.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 249, 01.11.2017, p. 48-52.

Research output: Contribution to journalArticle

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