Evolution of a hairpin vortex in a shear-thinning fluid governed by a power-law model

Zhen, Ni; Handler, R.; Zhang, Qi; Oeth, Cassandra

doi:10.1063/1.4824457

Cited by 6 publications

(4 citation statements)

References 30 publications

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“…with a relatively monotonic influence of the power-law index. 35,36 Another example is the study of a hairpin vortex in a wallbounded flow by Zhen et al, 37 for a Reynolds number range (4000-8000) higher than for the present study. The authors observed that shear-thinning properties decreased the production of vortex kinetic energy, increased the viscous dissipation, and delayed the transition to a turbulent state.…”

Section: Introductionmentioning

confidence: 57%

Experimental study of low inertia vortex rings in shear-thinning fluids

2018

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The present work investigates experimentally the dynamics of vortex rings in shear-thinning fluids at low generalized Reynolds numbers, with a focus on the range from 300 down to 30. The experimental apparatus consists of a vertical cylinder-piston system with the lower part immersed in a tank filled with the liquid. Particle image velocimetry is used to analyze the influence of the non-Newtonian nature of the fluid on the generation, propagation, and eventual dissipation of vortex rings. The results show that shear-thinning controls the generation phase, whereas the vortex ring subsequent evolution is independent of the power-law index. In particular, it is found that the final dissipation stage is characterized by a flow dynamics which tends ultimately to a regime at a constant viscosity corresponding to the Newtonian plateau. This reveals the role of the Carreau number and of the Reynolds number based on this specific viscosity as relevant control parameters for this last stage.

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Section: Introductionmentioning

confidence: 57%

Experimental study of low inertia vortex rings in shear-thinning fluids

2018

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“…where μ represents the dynamic viscosity used in equation (4), K is the consistency index, n is the power-law exponent, and S is the strain rate tensor [33].…”

Section: S S Kmentioning

confidence: 99%

Three-dimensional smoothed particle hydrodynamics simulation for injection molding flow of short fiber-reinforced polymer composites

Chen

et al. 2017

Modelling Simul. Mater. Sci. Eng.

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This paper investigates the three-dimensional (3D) injection molding flow of short fiber-reinforced polymer composites using a smoothed particle hydrodynamics (SPH) simulation method. The polymer melt was modeled as a power law fluid and the fibers were considered as rigid cylindrical bodies. The filling details and fiber orientation in the injection-molding process were studied. The results indicated that the SPH method could effectively predict the order of filling, fiber accumulation, and heterogeneous distribution of fibers. The SPH simulation also showed that fibers were mainly aligned to the flow direction in the skin layer and inclined to the flow direction in the core layer. Additionally, the fiber-orientation state in the simulation was quantitatively analyzed and found to be consistent with the results calculated by conventional tensor methods.

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“…The dynamic viscosity of the non-Newtonian fluid can be described by the power law model where μ is the dynamic viscosity used in equation (5), K is the consistency coefficient, n is the power-law exponent, and S is the shear strain rate tensor. 34…”

Section: Numerical Techniquementioning

confidence: 99%

“…where is the dynamic viscosity used in equation 5, K is the consistency coefficient, n is the power-law exponent, and S is the shear strain rate tensor. 34…”

Section: Sph Conversation Equationsmentioning

confidence: 99%

Smoothed particle hydrodynamics simulation for injection molding flow of short fiber-reinforced polymer composites

Chen

et al. 2017

Journal of Composite Materials

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The injection molding process of short fiber-reinforced polymer composites was investigated using smoothed particle hydrodynamics method. The polymer melt was modeled as a power law fluid, and the fibers were considered as rigid bodies. The flow behavior of short fiber-reinforced polymer composite melt and the motion and orientation of fibers were studied. The results showed that U-shaped fountain flow was generated at the flow front, and the center of the flow front gradually sank during the injection molding process; fibers were aligned to the flow direction in the cavity and near the wall in the sprue, and fibers accumulated at some points in the cavity. Additionally, the initial fiber configuration in the model influenced the final fiber orientation slightly. It was also found that the fiber orientation factor increased with the increase of fiber aspect ratio, and decreased with the increase of fiber content.

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Evolution of a hairpin vortex in a shear-thinning fluid governed by a power-law model

Cited by 6 publications

References 30 publications

Experimental study of low inertia vortex rings in shear-thinning fluids

Experimental study of low inertia vortex rings in shear-thinning fluids

Three-dimensional smoothed particle hydrodynamics simulation for injection molding flow of short fiber-reinforced polymer composites

Smoothed particle hydrodynamics simulation for injection molding flow of short fiber-reinforced polymer composites

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