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Shear flow of a Newtonian fluid over a quiescent generalized Newtonian fluid
Meccanica, 2016The flow of an upper shear-driven Newtonian fluid above an otherwise still non-Newtonian fluid is considered. The lower fluid is modelled as a generalized Newtonian fluid and set into motion by interfacial shear. By means of similarity transformations, the governing partial differential equations for the two-fluid problem transform exactly into two ...
Swati Mukhopadhyay+2 more
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A revisitation of generalized Newtonian fluids
Journal of Rheology, 2020Creating an entry vortex growth simulation to show viscous and elastic fluid behaviors has always been a major challenge for the computational rheology of well-characterized polymer melts with extension thickening. For one thing, it is difficult to ensure stable convergence and reliable solutions via the viscoelastic constitutive equations at a ...
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Mixing of a Generalized Newtonian Fluid in a Cavity
Journal of Fluids Engineering, 1995Mixing of a generalized Newtonian fluid in a corotating discontinuous cavity flow is studied. The flow period and the rheological coefficients are used as parameters. Using geometrical construction of periodic orbits and bifurcation analysis we find mixing windows in the parameter space.
X. Zhang, F. H. Ling
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Saffman-Taylor instability for generalized Newtonian fluids
Physical Review E, 2009We study theoretically the linear Saffman-Taylor instability for non-Newtonian fluids in a Hele-Shaw cell. After introducing the notion of generalized Newtonian fluid we calculate the associated Darcy's law. We derive the relation governing the growth rate of normal modes for a large class of non-Newtonian flows. For shear-thinning fluids at high shear
Miguel Manna, Serge Mora
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Non-homogeneous generalized Newtonian fluids
Mathematische Zeitschrift, 2007We show the existence of weak solutions to the system describing the motion of incompressible, non-homogeneous generalized Newtonian fluids if the extra stress tensor S(ρ, D) possesses p-structure with $${p \ge \frac {3d+2}{d+2}}$$ and variable viscosity.
Frehse, Jens, Růžička, Michael
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Semi‐implicit Euler Scheme for Generalized Newtonian Fluids
SIAM Journal on Numerical Analysis, 2006Rheological behavior of certain non-Newtonian fluids in engineering sciences is often modeled by power law ansatzes with p \leq 2. So far, existing numerical analysis for local strong solutions studies a fully implicit time discretization and find only restricted ranges of admissible p's for corresponding error estimates [A. Prohl and M.
Diening, Lars+2 more
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Material Functions for Generalized Newtonian Fluids
Transactions of the Society of Rheology, 1970The concept of the generalized Newtonian fluid (GNF) provides a useful basis for the formulation of constitutive equations for real materials. The purpose of this paper is to review the rational foundations of the generalized Newtonian fluid, and to discuss the problems involved in its practical application to real materials.
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Scaling in pinch-off of generalized Newtonian fluids
Journal of Non-Newtonian Fluid Mechanics, 2003Abstract Pinch-off dynamics of slender liquid bridges of generalized Newtonian fluids without and with inertia are studied using asymptotic analysis and numerical computation. The deformation-rate-dependent rheology is described by power law and Carreau models.
Ozgur Emek Yildirim+4 more
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2013
The constitutive equations for an incompressible Newtonian fluid are defined by equation ( 4.3.3) in a Cartesian coordinate system ...
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The constitutive equations for an incompressible Newtonian fluid are defined by equation ( 4.3.3) in a Cartesian coordinate system ...
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Decay of the Swirl of Flow of a Generalized Newtonian Fluid
Journal of Engineering Physics and Thermophysics, 2018Results of numerical investigations of the decay of swirl in laminar flow of a generalized Newtonian fluid in a circular pipe have been presented. The authors used water and a 0.67% Na–CMC aqueous solution as the working medium. A comparative analysis has been made of the obtained results and the results of other authors.
E. K. Vachagina+2 more
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