A Bouncing Liquid Stream

Kaye, A.

doi:10.1038/1971001a0

Cited by 40 publications

(21 citation statements)

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“…The viscosity of non-newtonian solutions can be calculated by means of a continuum mechanistic approach [1,2], as for example, through the Rivlin-Sawyers theory [2,3] and concepts such as Finger tensor [4] and Cauchy-Green tensor [5], leading to equations such as the Oldroyd-B and the (Kaye)-Bernstein, Kearsley, Zapas -(K)-BKZ [6][7][8]. However, as the description of these models are very rigorous, they frequently contain a large number of parameters which are difficult or, in some cases, impossible to be determined by fitting the experimental viscosity data [9,10].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Modeling of the Rheological Behavior of PEG Aqueous Solutions as a Function of the Solute Molecular Weight and Shear Stress, at 298.15 K and 0.1 MPa

Cruz¹

2013

J. Appl. Sol. Chem. Model.

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This work presents a study of the influence of the molecular weight on the thermodynamic modeling of the viscosity of non-newtonian polymer solutions. The employed model is based on the absolute rate theory of Eyring and on the solution theory of McMillan-Mayer. The Soave-Redlich-Kwong equation of state was adopted for the calculation of the excess molar McMillan-Mayer free energy derived from the osmotic pressure of the solution. The model presents parameters that take account separately the different possibilities of interaction in the macromolecular environment. As the tertiary structure of a polymer molecule can be affected by applied shear stress, only the parameters related with the intramolecular interactions are dependent of the shear stress. The experimental rheological curves for different molecular weights of polyethylene glycol aqueous solutions have been measured at several concentrations, within the whole polymer solubility range, at 298.15 K and 0.1 MPa. The dependence on the molecular weight for all parameters of the model was analyzed and characterized. The dependence of the shear sensitive parameters on the shear stress was also studied.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic Modeling of the Rheological Behavior of PEG Aqueous Solutions as a Function of the Solute Molecular Weight and Shear Stress, at 298.15 K and 0.1 MPa

Cruz¹

2013

J. Appl. Sol. Chem. Model.

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“…During the pouring process, a small heap of fluid forms and the jet occasionally leaps upward from the heap; see Figure 1. This is the so-called Kaye effect as first observed by Kaye [24] in 1963. About 13 years after this phenomenon was first mentioned in the literature, Collyer and Fischer [12] revisited the experiment and suggested that the ability for the fluid to exhibit shear-thinning viscosity and elastic Email addresses: bonito@math.tamu.edu (Andrea Bonito), guermond@math.tamu.edu (Jean-Luc Guermond), shlee@math.tamu.edu (Sanghyun Lee) 1 Partially supported by the NSF grant DMS-1254618 and by award KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST) behavior are key ingredients for the bouncing to occur.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of bouncing jets

Bonito

Guermond

Lee

2015

Numerical Methods in Fluids

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Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet falls in a bath undergoing a solid motion. It occurs also for non-Newtonian fluids when the jets falls in a vessel at rest containing the same fluid. We investigate numerically the impact of the experimental setting and the rheological properties of the fluid on the onset of the bouncing phenomenon. Our investigations show that the occurrence of a thin lubricating layer of air separating the jet and the rest of the liquid is a key factor for the bouncing of the jet to happen. The numerical technique that is used consists of a projection method for the Navier-Stokes system coupled with a level set formulation for the representation of the interface. The space approximation is done with adaptive finite elements. Adaptive refinement is shown to be very important to capture the thin layer of air that is responsible for the bouncing.

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“…An interesting consequence of shear-thinning is the Kaye effect [38]. When a stream of shampoo hits a surface, a heap is created at the point of impact.…”

Section: Shear-thinningmentioning

confidence: 99%

Novel experimentally observed phenomena in soft matter

Bandyopadhyay

2013

Pramana - J Phys

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Abstract. Soft materials such as colloidal suspensions, polymer solutions and liquid crystals are constituted by mesoscopic entities held together by weak forces. Their mechanical moduli are several orders of magnitude lower than those of atomic solids. The application of small to moderate stresses to these materials results in the disruption of their microstructures. The resulting flow is non-Newtonian and is characterised by features such as shear rate-dependent viscosities and nonzero normal stresses. This article begins with an introduction to some unusual flow properties displayed by soft matter. Experiments that report a spectrum of novel phenomena exhibited by these materials, such as turbulent drag reduction, elastic turbulence, the formation of shear bands and the existence of rheological chaos, flow-induced birefringence and the unusual rheology of soft glassy materials, are reviewed. The focus then shifts to observations of the liquid-like response of granular media that have been subjected to external forces. The article concludes with examples of the patterns that emerge when certain soft materials are vibrated, or when they are displaced with Newtonian fluids of lower viscosities.

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A Bouncing Liquid Stream

Cited by 40 publications

References 1 publication

Thermodynamic Modeling of the Rheological Behavior of PEG Aqueous Solutions as a Function of the Solute Molecular Weight and Shear Stress, at 298.15 K and 0.1 MPa

Thermodynamic Modeling of the Rheological Behavior of PEG Aqueous Solutions as a Function of the Solute Molecular Weight and Shear Stress, at 298.15 K and 0.1 MPa

Numerical simulations of bouncing jets

Novel experimentally observed phenomena in soft matter

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