scholarly journals Existence Theory for Steady Flows of Fluids with Pressure and Shear Rate Dependent Viscosity, for Low Values of the Power-Law Index

2009 ◽  
pp. 349-371 ◽  
Author(s):  
M. Bulíček ◽  
V. Fišerová
Keyword(s):  
Shear Rate ◽  
Power Law ◽  
Existence Theory ◽  
Steady Flows ◽  
Rate Dependent ◽  
Dependent Viscosity ◽  
Power Law Index

Applicability of power law for describing the rheology of soils of different origins and characteristics

2009 ◽  
Vol 46 (9) ◽  
pp. 1011-1023 ◽  
Author(s):  
Sueng Won Jeong ◽  
Serge Leroueil ◽  
Jacques Locat
Keyword(s):  
Strain Rate ◽  
Power Law ◽  
Debris Flows ◽  
Rheological Behaviour ◽  
Strain Rate Range ◽  
Rate Dependent ◽  
Different Origins ◽  
Power Law Index ◽  
Soil Behaviour ◽  
Low Activity

The rate-dependent rheological behaviour of soils of different origins and characteristics was studied and the applicability of the power law model was examined. The studied soils were divided into three groups: (i) low-activity soils, (ii) high-activity soils, and (iii) silt-rich soils. The results show that the power law applies to all these soils and is representative of soil behaviour in a strain rate range corresponding to debris flows, which is generally not the case with the Bingham model. For low-activity clays, the power law index, n, is typically equal to 0.12 and seems to increase with the plasticity index; it is larger (i.e., in the range of 0.2–0.6) for silt-rich soils. Comparison of n values for tests performed on intact and remoulded low-activity clay specimens indicates that the power law index is possibly strain-rate dependent.

Thermo-elasto-hydrodynamic lubrication model for journal bearing including shear rate-dependent viscosity

10.1002/ls.45 ◽  
2007 ◽  
Vol 19 (4) ◽  
pp. 231-245 ◽  
Author(s):  
Saša Bukovnik ◽  
Günter Offner ◽  
Valdas Čaika ◽  
Hans H. Priebsch ◽  
Wilfried J. Bartz
Keyword(s):  
Shear Rate ◽  
Journal Bearing ◽  
Hydrodynamic Lubrication ◽  
Rate Dependent ◽  
Dependent Viscosity

Surface Temperature and Heat Transfer Conditions in the Ablation of Shear Thinning and Shear Thickening Liquids

1969 ◽  
Vol 91 (1) ◽  
pp. 105-110
Author(s):  
B. Steverding
Keyword(s):  
Mass Transfer ◽  
Shear Rate ◽  
Heat And Mass Transfer ◽  
Shear Thickening ◽  
Nose Radius ◽  
Newtonian Viscosity ◽  
Rate Dependent ◽  
Viscosity Behavior ◽  
Newtonian Liquids ◽  
Dependent Viscosity

The heat and mass transfer conditions for the ablation of Newtonian liquids have been described in a number of excellent articles. However, little attention has been paid to the behavior of non-Newtonian liquids for which the viscosity is not only a function of temperature but also of shear rate. This is astonishing since many excellent ablators behave in a non-Newtonian manner, especially when they contain foreign particles such as gas bubbles. The purpose of this paper is to study changes in heat and mass transfer if the ablator has a shear rate dependent viscosity. As a result of this study it will be shown that deviations from normal Newtonian behavior increase with increasing shear stress and decreasing bluntness of the cone. Surface temperatures are calculated as a function of Mach number, degree of non-Newtonian viscosity parameter, nose radius, and altitude. Numerical results are given for a model substance with the physical characteristics of Pyrex glass but with a hypothetically varying degree of non-Newtonian viscosity behavior.

Correlations for zero-shear and shear-rate dependent viscosity of polymeric solutions

1977 ◽  
Vol 17 (11) ◽  
pp. 806-810
Author(s):  
B. Chitrangad ◽  
H. R. Osmers ◽  
S. Middleman
Keyword(s):  
Shear Rate ◽  
Rate Dependent ◽  
Polymeric Solutions ◽  
Dependent Viscosity

scholarly journals Deformation of a Capsule in a Power-Law Shear Flow

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Fang-Bao Tian
Keyword(s):  
Reynolds Number ◽  
Shear Rate ◽  
Shear Flow ◽  
Lattice Boltzmann Method ◽  
Power Law ◽  
Lattice Boltzmann ◽  
Immersed Boundary ◽  
Power Law Fluid ◽  
Boltzmann Method ◽  
Power Law Index

An immersed boundary-lattice Boltzmann method is developed for fluid-structure interactions involving non-Newtonian fluids (e.g., power-law fluid). In this method, the flexible structure (e.g., capsule) dynamics and the fluid dynamics are coupled by using the immersed boundary method. The incompressible viscous power-law fluid motion is obtained by solving the lattice Boltzmann equation. The non-Newtonian rheology is achieved by using a shear rate-dependant relaxation time in the lattice Boltzmann method. The non-Newtonian flow solver is then validated by considering a power-law flow in a straight channel which is one of the benchmark problems to validate an in-house solver. The numerical results present a good agreement with the analytical solutions for various values of power-law index. Finally, we apply this method to study the deformation of a capsule in a power-law shear flow by varying the Reynolds number from 0.025 to 0.1, dimensionless shear rate from 0.004 to 0.1, and power-law index from 0.2 to 1.8. It is found that the deformation of the capsule increases with the power-law index for different Reynolds numbers and nondimensional shear rates. In addition, the Reynolds number does not have significant effect on the capsule deformation in the flow regime considered. Moreover, the power-law index effect is stronger for larger dimensionless shear rate compared to smaller values.

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