Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis

Tian, Fang-Bao; Zhu, Luoding; Fok, Pak-Wing; Lu, Xi‐Yun

doi:10.1016/j.compbiomed.2013.05.023

Cited by 58 publications

(33 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In fact, the peak stress that occurs at the stenosis throat, and the lowest peaks in the aneurysm, are caused by the flow with the highest Reynolds number. These characteristics match with the results by Tian et al (2013).…”

Section: Wall Pressure and Wall Shear Stress Of Cross Modelsupporting

confidence: 81%

“…Tian et al (2013) numerically simulated pulsatile flow of non-Newtonian models past a stenosed artery with several degrees of severity. Disturbances in the flow domain like the atherosclerotic diseases affected the magnitudes of WSS, wall shear stress gradient (WSSG), etc., on both walls but the lower wall was found to experience substantially greater WSSG.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pulsatile Non-Newtonian Fluid Flows in a Model Aneurysm with Oscillating Wall

2017

View full text Add to dashboard Cite

This research presents a numerical simulation of an unsteady two-dimensional channel flow of Newtonian and some non-Newtonian fluids using the finite-volume method. The walls of the geometry oscillate sinusoidally with time. We have used the Cartesian curvilinear coordinates to handle complex geometries, i.e., arterial stents and bulges and the governing Navier-Stokes equations have been modified accordingly. Physiological pulsatile flow has been used at the inlet to characterize four different non-Newtonian models, i.e., the (i) Carreau, (ii) Cross, (iii) Modified Casson, and (iv) Quemada. We have presented the numerical results in terms of wall shear stress (WSS), pressure distribution as well as the streamlines and discussed the hemodynamic behaviors for laminar and laminar to turbulent transitional flow conditions. An increase of wall shear stress and a decrease in wall pressure are significantly observed at the stenosis throat for high Reynolds number and highly stenosed arteries. Likewise, the flow recirculation also increases if the narrowing level and the Reynolds number increases in the dilated region which eventually leads the stream to experience a transition to turbulence at Re = 750. The results for the fluid flow through an aneurysm just after a stenosis with oscillating wall are novel in the literature.

show abstract

Section: Wall Pressure and Wall Shear Stress Of Cross Modelsupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Pulsatile Non-Newtonian Fluid Flows in a Model Aneurysm with Oscillating Wall

2017

View full text Add to dashboard Cite

show abstract

“…To further discuss the non-Newtonian effect, χ = − μω , which measures the local shear stress, is introduced [40]. Figure 9 shows contours of χ for G = 0.04, Re = 0.025, n = 0.6, and 1.4.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…More recently, optical force based separation of particles/capsules was simulated by Chang et al [37–39]. Still, as far as known to us, the existing numerical simulations seldom consider the non-Newtonian rheology effects on the capsule behaviors, while blood and most fluids involved in biomedical engineering are non-Newtonian fluids [6, 8, 40, 41]. …”

Section: Introductionmentioning

confidence: 99%

Deformation of a Capsule in a Power-Law Shear Flow

Tian

2016

Computational and Mathematical Methods in Medicine

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…The computational code used in the present paper has been extensively validated and verified to ensure the numerical accuracy and convergence in previous papers. 4,7,13,29,42,43 …”

Section: Physical Problem and Mathematical Methodsmentioning

confidence: 99%

Study on a Self-Propelled Fish Swimming in Viscous Fluid by a Finite Element Method

Tian

Tang

et al. 2013

J. Mech. Med. Biol.

Self Cite

View full text Add to dashboard Cite

A self-propelled fish swimming in viscous fluid is investigated by solving the incompressible Navier-Stokes equations numerically with the space-time finite element method to understand the mechanisms of aquatic animal locomotion. Two types of propulsion strategies, undulatory body and traveling wave surface (TWS), are considered. Based on the simulations, we find that by performing lateral undulation, the fish is able to move forward with a reverse von K arm an vortex street in its wake. In addition, there is no vortex street in the wake of the fish using TWS. In this case, the thrust of the fish is generated by the jets outside the boundary layer and the high pressure on the leeward side of the traveling wave. The results obtained in this paper will be of help in understanding of the propulsive performance of aquatic animal locomotion.

show abstract

Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis

Cited by 58 publications

References 42 publications

Pulsatile Non-Newtonian Fluid Flows in a Model Aneurysm with Oscillating Wall

Pulsatile Non-Newtonian Fluid Flows in a Model Aneurysm with Oscillating Wall

Deformation of a Capsule in a Power-Law Shear Flow

Study on a Self-Propelled Fish Swimming in Viscous Fluid by a Finite Element Method

Contact Info

Product

Resources

About