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Decay of turbulence in a power-law fluid
The Physics of Fluids, 1985The final stages of decay of isotropic homogeneous turbulence are studied in a generalized Newtonian fluid, with a viscosity that depends on the mean rate of energy dissipation. The analysis is similar to that for Newtonian fluids. For a power-law fluid with power-law index n, the turbulent kinetic energy varies with time t as t−10/(7n−3), agreeing ...
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Peristaltic Transport of Two-Layered Power-Law Fluids
Journal of Biomechanical Engineering, 1997Peristaltic transport of two-layered power-law fluids in axisymmetric tubes is studied. Use of the power-law fluid model permits independent choice of shear thinning, shear thickening, or Newtonian fluids for the core and the peripheral layer. The interface between the two layers is determined from a transcendental equation in the core radius.
Usha, S, Rao, AR
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Electrokinetically modulated peristaltic transport of power-law fluids
Microvascular Research, 2016The electrokinetically modulated peristaltic transport of power-law fluids through a narrow confinement in the form of a deformable tube is investigated. The fluid is considered to be divided into two regions - a non-Newtonian core region (described by the power-law behavior) which is surrounded by a thin wall-adhering layer of Newtonian fluid.
Prakash, Goswami +3 more
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Withdrawal of power law fluid films
Chemical Engineering Science, 1970Abstract The thickness of a layer of a power law fluid on a sheet, which is withdrawn from a bath, is determined for the three regimes of withdrawal conditions. The flux in viscous withdrawal is, like for a newtonian liquid, lower than the maximum possible flux on a sheet moving upwards with a certain velocity.
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Interfacial pattern formation in confined power-law fluids
Physical Review E, 2014The interfacial pattern formation problem in an injection-driven radial Hele-Shaw flow is studied for the situation in which a Newtonian fluid of negligible viscosity displaces a viscous non-Newtonian power-law fluid. By utilizing a Darcy-law-like formulation, we tackle the fluid-fluid interface evolution problem perturbatively, and we derive second ...
Rodolfo, Brandão +2 more
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Similarity solutions for breakup of jets of power law fluids
Journal of Non-Newtonian Fluid Mechanics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renardy, Michael, Renardy, Yuriko
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On the flow of power-law fluids
2011An update on generalized similarity transformation applied to the flow of power-law fluids is presented. The paper surveys both steady and unsteady flow problems: (i) wall jets and (ii) unsteady liquid-film stretching. The latter case assumes that the flow field is similar in time and space. Some practical issues are addressed.
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Research on sedimentation characteristics of squirmer in a power-law fluid
The European Physical Journal ESedimentation characteristics of a squirmer in a power-law fluid within a vertical channel are studied numerically using the two-dimensional lattice Boltzmann method. The effects of swimming type (- 5 ≤ β ≤ 5), self-propelling strength (0.5 ≤ α ≤ 1.1), power-law indexes (0.5 ≤ n ≤ 1.5), and the density ratio of the squirmer to the fluid (γ = 1.01, 1.5 ...
Amin Ullah, Jianzhong Lin, Yuxiang Yin
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On Quasi-static Non=Newtonian Fluids with Power-law
Mathematical Methods in the Applied Sciences, 1996Summary: We discuss certain classes of quasi-static non-Newtonian fluids for which a power-law of the form \(\sigma^D = \nabla\Phi ({\mathcal E}v)\) holds. Here \(\sigma^D\) is the stress deviator, \(v\) the velocity field, \({\mathcal E} v\) its symmetric derivative and \(\Phi\) is the function \[ \Phi ({\mathcal E}v) = {1\over 2} \mu_\infty|{\mathcal
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