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Hyperbolic heat transfer in generalized Newtonian fluids

International Communications in Heat and Mass Transfer, 2013
Abstract The present paper is concerned with the modeling of hyperbolic heat transfer in generalized Newtonian fluids. A general procedure, developed within the framework of thermodynamics of irreversible processes, is proposed to obtain constitutive relations that verify automatically the second law of thermodynamics and the principle of material ...
Heraldo S. da Costa Mattos   +1 more
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Analysis of Generalized Newtonian Fluids

2013
In this paper we want to present an optimal existence result for the steady motion of generalized Newtonian fluids. Moreover, we present an optimal error estimate for a FEM approximation of the corresponding steady p-Stokes system. The presented results are based on long lasting cooperations with L. Berselli, L. Diening, J. Malek, A. Prohl and J. Wolf.
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Estimates of Deviations for Generalized Newtonian Fluids

Journal of Mathematical Sciences, 2004
The paper is concerned with estimates of deviations from exact solutions for stationary models of viscous incompressible fluids. It is shown that if a function compared with exact solution is subject to the incompressibility condition, then the deviation majorant consists of terms that penalize the inaccuracy in the equilibrium equation and the ...
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A generalized velocity distribution for non‐Newtonian fluids

AIChE Journal, 1961
AbstractThe universal velocity profile equation for turbulent flow is obtained for the power law approximation equation. The profile equation should be valid from wall to the center line, from laminar to turbulent flow, and for Newtonian and non‐Newtonian power law materials. The equation is compared with other theoretical and experimental results.
R. C. Chase, Robert S. Brodkey, Jon Lee
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Generation of inkjet droplet of non-Newtonian fluid

Rheologica Acta, 2013
In this study, the generation of inkjet droplets of xanthan gum solutions in water–glycerin mixtures was investigated experimentally to understand the jetting and drop generation mechanisms of rheologically complex fluids using a drop-on-demand inkjet system based on a piezoelectric nozzle head.
Hansol Yoo, Chongyoup Kim
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SIMULATION OF GENERALIZED NEWTONIAN FLUIDS WITH THE LATTICE BOLTZMANN METHOD

International Journal of Modern Physics C, 2007
This paper proposes a study of the computational efficiency of a lattice Boltzmann model (LBM) solver to simulate the behavior of a generalized Newtonian fluid. We present recent progress concerning a 4-1 planar contraction considering a power-law and a Carreau-law model.
Malaspinas, Orestis   +2 more
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A stability theorem for general non-Newtonian fluid

Applied Scientific Research, 1963
A theorem concerning the stability of a particular non-Newtonian fluid has been proved by Genesky1). In the present paper, we have taken a more general non-Newtonian fluid characterized by the relation $$T = - pI + \alpha _1 A_1 + \alpha _2 A_2 + \alpha _3 A_{1^2 } $
J. N. Kapur, Shashi Goel
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Steady-state rimming flow of the generalized Newtonian fluid

Physics of Fluids, 2002
Rimming flow of a liquid polymer on the inner surface of a horizontal rotating cylinder is investigated. Using a scale analysis, a theoretical description for steady-state non-Newtonian flow is obtained. Simple lubrication theory is applied since the Reynolds number is small and the liquid film thin. Since a steady-state viscometric flow is considered,
Fomin, S.   +3 more
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An algorithm for simulation of flows of a generalized Newtonian fluid

Moscow University Mathematics Bulletin, 2009
This paper addresses a three-parameter iterative method for numeric calculation of generalized Newtonian fluid flows. The method is a generalization of the well-known Arrow-Hurwitz algorithm. The proof of the local convergence of this method is the result of the paper.
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Modeling of generalized Newtonian fluid flow at a fluid-porous interface

AIP Conference Proceedings, 2012
This paper discusses the coupling of the momentum and the Brinkman equations for generalized Newtonian fluids for modeling laminar viscous flow over a porous surface. An analytical model was derived for a Herschel-Bulkley fluid traversing a composite domain consisting of an open channel and an infinite wide porous domain.
Francois Smit, Marèt Cloete
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