The lattice Boltzmann method is modified to allow the simulation of non-Newtonian shear-dependent viscosity models. Casson and Carreau-Yasuda non-Newtonian blood viscosity models are implemented and are used to compare two-dimensional Newtonian and non-Newtonian flows in the context of simple steady flow and oscillatory flow in straight and curved pipe geometries. It is found that compared to analogous Newtonian flows, both the Casson and Carreau-Yasuda flows exhibit significant differences in the steady flow situation. In the straight pipe oscillatory flows, both models exhibit differences in velocity and shear, with the largest differences occurring at low Reynolds and Womersley numbers. Larger differences occur for the Casson model. In the curved pipe Carreau-Yasuda model, moderate differences are observed in the velocities in the central regions of the geometries, and the largest shear rate differences are observed near the geometry walls. These differences may be important for the study of atherosclerotic progression.
Skip Nav Destination
,
,
Article navigation
September 2007
Research Article|
September 28 2007
Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method Available to Purchase
Joshua Boyd;
Joshua Boyd
a)
Physics and Electronics,
University of New England
, Armidale, NSW 2351, Australia
Search for other works by this author on:
James M. Buick;
James M. Buick
b)
Physics and Electronics,
University of New England
, Armidale, NSW 2351, Australia
Search for other works by this author on:
Simon Green
Simon Green
c)
Human Biology,
University of New England
, Armidale, NSW 2351, Australia
Search for other works by this author on:
Joshua Boyd
a)
James M. Buick
b)
Simon Green
c)
Physics and Electronics,
University of New England
, Armidale, NSW 2351, Australiaa)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
Physics of Fluids 19, 093103 (2007)
Article history
Received:
December 12 2006
Accepted:
July 17 2007
Citation
Joshua Boyd, James M. Buick, Simon Green; Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method. Physics of Fluids 1 September 2007; 19 (9): 093103. https://doi.org/10.1063/1.2772250
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Phase behavior of Cacio e Pepe sauce
G. Bartolucci, D. M. Busiello, et al.
How to cook pasta? Physicists view on suggestions for energy saving methods
Phillip Toultchinski, Thomas A. Vilgis
Pour-over coffee: Mixing by a water jet impinging on a granular bed with avalanche dynamics
Ernest Park, Margot Young, et al.
Related Content
Oscillatory flow of Carreau-Yasuda fluid in a pipe
AIP Conf. Proc. (September 2022)
Unsteady solute dispersion in Herschel-Bulkley fluid in a tube with wall absorption
Physics of Fluids (November 2016)
Effect of Carreau-Yasuda rheological parameters on subcritical Lapwood convection in horizontal porous cavity saturated by shear-thinning fluid
Physics of Fluids (June 2017)
Carreau–Yasuda fluid flow generated via metachronal waves of cilia in a micro-channel
Physics of Fluids (January 2023)
Impact of Carreau-Yasuda fluid properties on droplet dynamics in bifurcation microchannels
Physics of Fluids (April 2025)