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Turbulence in Non-Newtonian Fluids

The Physics of Fluids, 1964
The dissipation of turbulent energy is examined in incompressible isotropic fluids in which deformation depends only on current values of strain rate (Reiner-Rivlin fluids). For isotropic, homogeneous, decaying turbulence, two special cases are examined exactly—the Gaussian process and the inertial subrange.
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Bubble Shape in Non-Newtonian Fluids

Journal of Applied Mechanics, 2002
The study of the behavior of bubbles in complex fluids is of industrial as well as of academic importance. Bubble velocity-volume relations, bubble shapes, as well as viscous, elastic, and surfactant effects play a role in bubble dynamics. In this note we extend the analysis of Richardson to a non-Newtonian fluid.
De Kee, D.   +2 more
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Non-Newtonian Fluids

2010
A fluid can be defined as a material that deforms continually under the application of an external force. In other words, a fluid can flow and has no rigid three-dimensional structure. An ideal fluid may be defined as one in which there is no friction.
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Sound Propagation in Non-Newtonian Fluids

Journal of Applied Mechanics, 1973
A perturbation analysis is applied to the basic hydrodynamic equations and developed to determine the non-Newtonian effects of a small-signal plane wave propagating through a viscous fluid which is continuous, homogeneous, and isotropic. With the emphasis on liquids, the analysis is applied to the case of a Powell-Eyring fluid (which specializes to the
Raichel, D. R., Kapfer, W. H.
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A REMARK ON THE ATTRACTORS OF NON-NEWTONIAN FLUIDS

Acta Mathematica Scientia, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Boling, Lin, Guoguang
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Non-Newtonian Fluid

2016
How could you characterize a liquid? You could start with its color, maybe talk about its smell or taste (watch out!) and consider its acidity (lime juice or soap). But sooner or later you will think about the liquid’s viscosity. The viscosity quantifies what we use to call a “thick” or “thin” liquid.
Benjamin Bahr   +2 more
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Non-Newtonian Fluids

1984
Fluids give and flow under stress. Newtonians are the simplest of fluids, and they are characterized by the property that the velocity gradient at a point is proportional to the shear stress at that point, thus $$({\rm{Shear\;rate}})\alpha ({\rm{shear\;stress}})\;\;{\rm{or}}\;\;{{du} \over {dy}}\alpha \tau$$ All other fluids are called non ...
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A model equation for Non‐Newtonian fluids

Mathematical Methods in the Applied Sciences, 1981
AbstractA one‐dimensional model for the equations of motion of a “simple fluid” according to Noll is proposed. An exterior problem for the model equation is solved by means of a transform method.
M. Niggemann, K. Kirchgässner
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Entrance Flows of Non-Newtonian Fluids

Transactions of the Society of Rheology, 1973
The creeping flow of a Powell-Eyring fluid through a sudden tubular contraction is considered, and finite difference solutions of the vorticity transport and stream function equations are obtained for a range of contraction ratios, fluid properties, and apparent shear rates.
Duda, J. L., Vrentas, J. S.
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Non-Newtonian Fluids

1997
Abstract A new branch of fluid mechanics,Rheology, has rapidly been developed. It deals with non-Newtonian fluids which behave anomalously in comparison with Newtonian fluids. The anomaly is the variation in viscosity with the applied stress while the viscosity is constant for all Newtonian fluids.
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