Variations on Liouville’s theorem in the setting of stationary flows of generalized Newtonian fluids in the plane

Proceedings of the St. Petersburg Mathematical Society, Volume XV - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/232/05 ◽

2014 ◽

pp. 79-98

Author(s):

M. Fuchs

Keyword(s):

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Stationary Flows ◽

Liouville’S Theorem

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Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids

SIAM Journal on Scientific Computing ◽

10.1137/19m1267891 ◽

2020 ◽

Vol 42 (6) ◽

pp. B1429-B1461

Author(s):

Daniel Drzisga ◽

Ulrich Rüde ◽

Barbara Wohlmuth

Keyword(s):

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Hybrid Grids ◽

Vector Valued

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A note on the global regularity of steady flows of generalized Newtonian fluids

Portugaliae Mathematica ◽

10.4171/pm/1841 ◽

2009 ◽

pp. 211-223 ◽

Cited By ~ 8

Author(s):

Francesca Crispo

Keyword(s):

Global Regularity ◽

Newtonian Fluids ◽

Steady Flows ◽

Generalized Newtonian Fluids

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On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-07-00948-x ◽

2007 ◽

Vol 18 (02) ◽

pp. 183-200 ◽

Cited By ~ 4

Author(s):

M. Bildhauer ◽

M. Fuchs ◽

X. Zhong

Keyword(s):

Differential Equations ◽

Steady Flow ◽

Strong Solutions ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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Finite element approximation of steady flows of generalized Newtonian fluids with concentration-dependent power-law index

Mathematics of Computation ◽

10.1090/mcom/3379 ◽

2018 ◽

Vol 88 (317) ◽

pp. 1061-1090 ◽

Cited By ~ 3

Author(s):

Seungchan Ko ◽

Endre Süli

Keyword(s):

Finite Element ◽

Power Law ◽

Finite Element Approximation ◽

Newtonian Fluids ◽

Element Approximation ◽

Steady Flows ◽

Generalized Newtonian Fluids ◽

Power Law Index

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Turbulent channel flow of generalized Newtonian fluids at a low Reynolds number

Journal of Fluid Mechanics ◽

10.1017/jfm.2020.903 ◽

2020 ◽

Vol 908 ◽

Author(s):

Arturo A. Arosemena ◽

Helge I. Andersson ◽

Jannike Solsvik

Keyword(s):

Reynolds Number ◽

Channel Flow ◽

Low Reynolds Number ◽

Turbulent Channel Flow ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Low Reynolds

Abstract

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An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2014.08.014 ◽

2014 ◽

Vol 415 ◽

pp. 315-332 ◽

Cited By ~ 6

Author(s):

Somayeh Farnoush ◽

Mehrdad T. Manzari

Keyword(s):

Lattice Boltzmann ◽

Body Force ◽

The Body ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Force Modeling

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Steady and unsteady laminar flows of Newtonian and generalized Newtonian fluids in a planar T-junction

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1626 ◽

2008 ◽

Vol 57 (3) ◽

pp. 295-328 ◽

Cited By ~ 31

Author(s):

A. I. P. Miranda ◽

P. J. Oliveira ◽

F. T. Pinho

Keyword(s):

Laminar Flows ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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Using the Euler–Lagrange variational principle to obtain flow relations for generalized Newtonian fluids

Rheologica Acta ◽

10.1007/s00397-013-0741-3 ◽

2013 ◽

Vol 53 (1) ◽

pp. 15-22 ◽

Cited By ~ 12

Author(s):

Taha Sochi

Keyword(s):

Variational Principle ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids

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3-D least-squares finite element analysis of flows of generalized Newtonian fluids

Journal of Non-Newtonian Fluid Mechanics ◽

10.1016/j.jnnfm.2019.03.004 ◽

2019 ◽

Vol 266 ◽

pp. 143-159 ◽

Cited By ~ 4

Author(s):

Namhee Kim ◽

J.N. Reddy

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Least Squares ◽

Newtonian Fluids ◽

Element Analysis ◽

Generalized Newtonian Fluids

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Simulation of generalized Newtonian fluids with the Smoothed Particle Hydrodynamics method

PAMM ◽

10.1002/pamm.201900494 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Miloš Simeunović ◽

Holger Steeb

Keyword(s):

Smoothed Particle Hydrodynamics ◽

Newtonian Fluids ◽

Generalized Newtonian Fluids ◽

Particle Hydrodynamics ◽

Smoothed Particle ◽

Smoothed Particle Hydrodynamics Method

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