Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel

Nandakumar, N.; Sahu, Kirti Chandra; Mohan, Anand

doi:10.1016/j.euromechflu.2014.07.005

Cited by 37 publications

(17 citation statements)

References 31 publications

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“…It is worthy to mention that the distributions of wall shear stress in this figure show similar pattern of TAWSS of Lee et al [41] study using a Casson blood flow simulation of a deformable wall, carotid bifurcation model. Regardless, the results suggest a relatively low sensitivity of TAWSS to the viscosity model, which is consistent with respect to other studies [29], [42–45]. Notably, Lee and Steinman [45] suggested that using non-Newtonian viscosity models for patient specific simulations may not be practically efficient, considering other sources of uncertainties.…”

Section: Discussionsupporting

confidence: 89%

Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging

Gharahi

Zambrano

Zhu

et al. 2016

Int J Adv Eng Sci Appl Math

107

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Blood flow patterns and local hemodynamic parameters have been widely associated with the onset and progression of atherosclerosis in the carotid artery. Assessment of these parameters can be performed noninvasively using cine phase-contrast (PC) magnetic resonance imaging (MRI). In addition, in the last two decades, computational fluid dynamics (CFD) simulation in three dimensional models derived from anatomic medical images has been employed to investigate the blood flow in the carotid artery. This study developed a workflow of a subject-specific CFD analysis using MRI to enhance estimating hemodynamics of the carotid artery. Time-of-flight (TOF) MRI scans were used to construct three-dimensional computational models. PC-MRI measurements were utilized to impose the boundary condition at the inlet and a 0-dimensional lumped parameter model was employed for the outflow boundary condition. The choice of different viscosity models of blood flow as a source of uncertainty was studied, by means of the axial velocity, wall shear stress, and oscillatory shear index. The sequence of workflow in CFD analysis was optimized for a healthy subject using PC-MRI. Then, a patient with carotid artery stenosis and its hemodynamic parameters were examined. The simulations indicated that the lumped parameter model used at the outlet gives physiologically reasonable values of hemodynamic parameters. Moreover, the dependence of hemodynamics parameters on the viscosity models was observed to vary for different geometries. Other factors, however, may be required for a more accurate CFD analysis, such as the segmentation and smoothness of the geometrical model, mechanical properties of the artery’s wall, and the prescribed velocity profile at the inlet.

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Section: Discussionsupporting

confidence: 89%

Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging

Gharahi

Zambrano

Zhu

et al. 2016

Int J Adv Eng Sci Appl Math

107

View full text Add to dashboard Cite

show abstract

“…Analytical solutions for two-dimensional configurations are rather scarce when compared with their cylindrical counterpart. In addition to the paper by Steller [12], we can mention those by Daprà and Scarpi [24], who got a perturbation solution to the second-order of the pulsatile flow of a pseudoplastic Williamson fluid, and that by Nandakumar et al [25] for a shear-thinning fluid in a two-dimensional stenosed channel.…”

Section: Introductionmentioning

confidence: 96%

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

González

Tamburrino

Vacca

et al. 2020

Water

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The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

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“…Eldabe et al considered the problem of mixed convective heat and mass transfer in a non‐Newtonian fluid at a peristaltic surface with nonconstant viscosity. Govindarajan and Sahu discussed the instabilities in viscosity‐stratified flow. Nadeem et al deliberated the effect of heat transfer in peristalsis with viscosity of nonconstant temperature.…”

Section: Introductionmentioning

confidence: 99%

“…Asghar et al debated the peristaltic flow of nonconstant viscosity. Nevertheless, in the above stated efforts, converted nondimensional governing equations include several parameters that are functions of viscosity. Successively, as the flow characteristics, heat transfer rates will rely on the physical parameters.…”

Section: Introductionmentioning

confidence: 99%

A semianalytical technique for MHD peristalsis of pseudoplastic nanofluid with temperature‐dependent viscosity: Application in drug delivery system

Eldabe

Moatimid

Abou-zeid

et al. 2019

Heat Trans. Asian Res.

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An analysis has been implemented to study the influences of nonconstant viscosity and magnetohydrodynamics on pseudoplastic nanofluid through a porous medium. Ohmic dissipation, chemical reaction, and heat generation are taken into consideration. The current problem is debated under the molds of tiny or zero R e and δ approximation. Two models of nonconstant viscosity are deliberated. Model (I)-all parameters are nondimensional and have been measured as constants inside the flow. Model (II)-all these stated nondimensional parameters have been considered to differ with the temperature. Comparison among the solutions achieved by utilizing numerical results and multi-step differential transform method (Ms-DTM) is displayed in excellent agreement. Attention is dedicated to β, η-, and N b parameters. The governing equations for each case have been explained by an easy and highly perfect series established seminumerical Ms-DTM utilizing Mathematica 11, which uses mathematical software package. Nanofluids are active for drug carrying and drug delivery systems because of the N b control with the velocity of fluid. K E Y W O R D S heat generation, Ms-DTM, Ohmic dissipation, peristaltic flow, pseudoplastic nanofluid, temperature-dependent viscosity, Ms-DTM

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Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel

Cited by 37 publications

References 31 publications

Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging

Computational fluid dynamic simulation of human carotid artery bifurcation based on anatomy and volumetric blood flow rate measured with magnetic resonance imaging

Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

A semianalytical technique for MHD peristalsis of pseudoplastic nanofluid with temperature‐dependent viscosity: Application in drug delivery system

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