Non-Newtonian flow instability in a channelwith a sudden expansion

Panagiotis Neofytou, Dimitris Drikakis

Research output: Contribution to journal › Article

80 Citations (Scopus)

Abstract

The paper presents a numerical investigation of instabilities occurring in non-Newtonian flows through a sudden expansion. Three non-Newtonian models, used in the literature for simulating the rheological behaviour of blood, are employed, namely the Casson, Power-Law, and Quemada models. The computations reveal that similar to Newtonian flow through a suddenly expanded channel, an instability also occurs in non-Newtonian flows. The instability is manifested by a symmetry breaking of the flow separation. The onset of the instability depends on the specific parameters involved in each model’s constitutive equation. The investigation encompasses a parametric study for each model, specifically the critical values at which transition from stable to unstable flow occurs. Due to the fact that for each of the Casson and Quemada models, two characteristic flow parameters exist, the relation between the critical values for each of these parameters is also examined.
LanguageEnglish
Pages127-150
Number of pages24
JournalJournal of Non-Newtonian Fluid Mechanics
Volume111
Issue number2-3
DOIs
Publication statusPublished - 3 Apr 2003

Fingerprint

Flow Instability
Non Newtonian flow
Non-Newtonian Flow
expansion
Critical value
Newtonian flow
Flow separation
Flow Separation
Constitutive equations
flow separation
Model
flow characteristics
constitutive equations
Constitutive Equation
Blood
Numerical Investigation
Symmetry Breaking
blood
broken symmetry
Power Law

Keywords

  • separated flow
  • numerical simulation
  • non-Newtonian flow
  • blood flow
  • bifurcation phenomena

Cite this

Neofytou, Panagiotis ; Drikakis, Dimitris. / Non-Newtonian flow instability in a channelwith a sudden expansion. In: Journal of Non-Newtonian Fluid Mechanics. 2003 ; Vol. 111, No. 2-3. pp. 127-150.
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Neofytou, P & Drikakis, D 2003, 'Non-Newtonian flow instability in a channelwith a sudden expansion' Journal of Non-Newtonian Fluid Mechanics, vol. 111, no. 2-3, pp. 127-150. https://doi.org/10.1016/S0377-0257(03)00041-7

Non-Newtonian flow instability in a channelwith a sudden expansion. / Neofytou, Panagiotis; Drikakis, Dimitris.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 111, No. 2-3, 03.04.2003, p. 127-150.

Research output: Contribution to journal › Article

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Neofytou P, Drikakis D. Non-Newtonian flow instability in a channelwith a sudden expansion. Journal of Non-Newtonian Fluid Mechanics. 2003 Apr 3;111(2-3):127-150. https://doi.org/10.1016/S0377-0257(03)00041-7

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