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Newtonian and non-Newtonian flow near a re-entrant corner

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TLDR
In this paper, the authors used the laser Doppler technique to study flow characteristics in the vicinity of a reentrant corner for both Newtonian and elastic liquids, and found that near the reenterrant corner the flow characteristics are virtually independent of both fluid inertia and fluid elasticity.
Abstract
The Laser Doppler technique is used to study flow characteristics in the vicinity of a re-entrant corner for both Newtonian and elastic liquids. An L-shaped channel is chosen as the test geometry and a constant-viscosity Boger fluid as the elastic liquid. It is found that near the re-entrant corner the flow characteristics are virtually independent of both fluid inertia and fluid elasticity. The observed influence of fluid inertia is in agreement with existing theoretical predictions, whilst that of fluid elasticity is consistent with the elastic liquid behaving asymptotically like a Newtonian viscous liquid near the corner, suggesting the use of Oldroyd- (rather than Maxwell-) type models in future simulation studies. Numerical predictions for the Newtonian cases using finite-difference techniques are in satisfactory agreement with experiment, whilst those for an Oldroyd model are in qualitative agreement with experiment results for the Boger fluid.

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Citations
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Review of the entry flow problem: Experimental and numerical

TL;DR: A review of both experimental and numerical studies of axisymmetric and planar entry flows which have been considered as test problems for the numerical simulation of viscoelastic fluids is presented in this paper.

Micro-mechanisms of residual oil mobilization by viscoelastic fluids

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Micro-mechanisms of residual oil mobilization by viscoelastic fluids

TL;DR: In this article, four typical types of residual oil, residual oil trapped in dead ends, oil ganglia in pore throats, oil at pore corners and oil film adhered to pore walls, were studied.
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On corner flows of Oldroyd-B fluids

TL;DR: In this paper, exact series solutions for planar creeping flows of Oldroyd-B fluids in the neighbourhood of sharp corners are presented and discussed for both reentrant and non-reentrant sectors.
References
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Journal ArticleDOI

Viscous and resistive eddies near a sharp corner

TL;DR: In this paper, it was shown that when either or both of the boundaries is a rigid wall and when the angle between the planes is less than a certain critical angle, any flow sufficiently near the corner must consist of a sequence of eddies of decreasing size and rapidly decreasing intensity.
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Long range memory effects in flows involving abrupt changes in geometry: Part 3: moving boundaries

TL;DR: In this article, a finite difference solution is obtained for the problem generated by the presence of a protruberance in a basic two-dimensional Couette flow, and a refinement of the numerical method used in Parts 1 and 2 is presented.
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A singular finite difference treatment of re-entrant corner flow Part 1: Newtonian fluids

TL;DR: In this article, a series solution for the steady flow of a viscous fluid in the neighbourhood of a sharp corner is given, and a method of incorporating this solution into a finite difference scheme is described.
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