scholarly journals Analysis of Blood Flow in Arterial Stenosis Using Casson and Power-Law Fluid Model

2013 ◽  
Vol 14 (2) ◽  
pp. 73
Author(s):  
Riri Jonuarti
Keyword(s):  
Blood Flow ◽  
Power Law ◽  
Fluid Model ◽  
Blood Flow Rate ◽  
Casson Fluid ◽  
Arterial Stenosis ◽  
Fluid Models ◽  
Power Law Fluid ◽  
Pass Through ◽  
Flow Power

Simulation of blood flow behaviour in the arteries and in arterial stenosis has been made and will be discussed in this paper. This simulation uses pulsatile flow and blood flow in artery without stenosis is considered as a dynamic fluid, compressed and condensed. Whereas, in the case of arterial stenosis has been used Casson and Power-law fluid models. In the arteries without stenosis, blood flow velocity profiles show the same pattern for each Womersley number, but with different speed value. In the case of arterial stenosis, blood flow rate decreases with increasing stenosis position away from axis of blood vessels. Resistances to flow are increases with increasing the size (height and length) of stenosis, both for the Casson and Power-law fluid models. If resistance to flow increases, it is more difficult for the blood to pass through an artery, result the flow decreases and heart has to work harder to maintain adequate circulation.Keywords : Artery, blood flow, power-law fluid, Casson fluid, stenosis  

Power law fluid model for blood flow through a tapered artery with a stenosis

2011 ◽  
Vol 217 (17) ◽  
pp. 7108-7116 ◽  
Author(s):  
S. Nadeem ◽  
Noreen Sher Akbar ◽  
Awatif A. Hendi ◽  
T. Hayat
Keyword(s):  
Blood Flow ◽  
Power Law ◽  
Fluid Model ◽  
Power Law Fluid ◽  
Tapered Artery ◽  
Flow Through

Pulsatile flow of power-law fluid model for blood flow under periodic body acceleration

Biorheology ◽  
1990 ◽  
Vol 27 (5) ◽  
pp. 747-758 ◽  
Author(s):  
P. Chaturani ◽  
V. Palanisamy
Keyword(s):  
Blood Flow ◽  
Power Law ◽  
Pulsatile Flow ◽  
Fluid Model ◽  
Power Law Fluid ◽  
Body Acceleration

scholarly journals Comparison of Newtonian and Non-newtonian Fluid Models in Blood Flow Simulation in Patients With Intracranial Arterial Stenosis

2021 ◽  
Vol 12 ◽  
Author(s):  
Haipeng Liu ◽  
Linfang Lan ◽  
Jill Abrigo ◽  
Hing Lung Ip ◽  
Yannie Soo ◽  
...  
Keyword(s):  
Blood Flow ◽  
Newtonian Fluid ◽  
Fluid Model ◽  
Arterial Stenosis ◽  
Cfd Modeling ◽  
Patient Specific ◽  
Fluid Models ◽  
Cfd Models ◽  
Atherosclerotic Stenosis ◽  
Transient Simulations

BackgroundNewtonian fluid model has been commonly applied in simulating cerebral blood flow in intracranial atherosclerotic stenosis (ICAS) cases using computational fluid dynamics (CFD) modeling, while blood is a shear-thinning non-Newtonian fluid. We aimed to investigate the differences of cerebral hemodynamic metrics quantified in CFD models built with Newtonian and non-Newtonian fluid assumptions, in patients with ICAS.MethodsWe built a virtual artery model with an eccentric 75% stenosis and performed static CFD simulation. We also constructed CFD models in three patients with ICAS of different severities in the luminal stenosis. We performed static simulations on these models with Newtonian and two non-Newtonian (Casson and Carreau-Yasuda) fluid models. We also performed transient simulations on another patient-specific model. We measured translesional pressure ratio (PR) and wall shear stress (WSS) values in all CFD models, to reflect the changes in pressure and WSS across a stenotic lesion. In all the simulations, we compared the PR and WSS values in CFD models derived with Newtonian, Casson, and Carreau-Yasuda fluid assumptions.ResultsIn all the static and transient simulations, the Newtonian/non-Newtonian difference on PR value was negligible. As to WSS, in static models (virtual and patient-specific), the rheological difference was not obvious in areas with high WSS, but observable in low WSS areas. In the transient model, the rheological difference of WSS areas with low WSS was enhanced, especially during diastolic period.ConclusionNewtonian fluid model could be applicable for PR calculation, but caution needs to be taken when using the Newtonian assumption in simulating WSS especially in severe ICAS cases.

Numerical simulation of blood nanofluid flow over three different geometries by means of gyrotactic microorganisms: Applications to the flow in a circulatory system

2020 ◽  
pp. 095440622094745 ◽  
Author(s):  
H Thameem Basha ◽  
R Sivaraj
Keyword(s):  
Blood Flow ◽  
Stagnation Point ◽  
Newtonian Fluid ◽  
Fluid Transport ◽  
Fluid Model ◽  
Circulatory System ◽  
Blood Flow Rate ◽  
Fluid Models ◽  
Gyrotactic Microorganisms ◽  
Tangent Hyperbolic Fluid

Biomedical engineers, medical scientists, and clinicians are expressing a notable interest in the measurement of blood flow rate because it is used to detect cardiovascular diseases such as atherosclerosis and arrhythmia. Several researchers have adopted various non-Newtonian fluid models to investigate blood flow in the circulatory system. Because many non-Newtonian fluid models like Herschel Buckley, Powell-Eyring fluid, tangent hyperbolic fluid, and Williamson fluid exhibit the characteristics of blood. The tangent hyperbolic fluid model expresses the rheological characteristics of blood more accurately due to its shear-thinner properties. This work is performed to express the significance of the induced magnetic field and gyrotactic microorganisms on the flow of tangent hyperbolic nanofluid over a plate, wedge and stagnation point of the plate. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations which have been solved with the use of the Runge-Kutta-Fehlberg (RKF) approach. The impacts of active parameters on transport properties of the fluid are illustrated with graphs and tables. The growing magnetic parameter lessens the blood nanofluid velocity over three geometries. Blood nanofluid has a higher heat transfer rate over a stagnation point compared with other two geometries. Blood nanofluid temperature augments for uplifting the thermophoresis parameter. Peclet number shows a high impact on microorganisms density in a blood nanofluid. This exploration can provide a clear view regarding the heat and mass transfer behavior of blood flow in a circulatory system and various hyperthermia treatments like treatment of cancer.

Mathematical Modeling of Blood Flow in an Artery with an Unsteady Stenosis using Power-Law Fluid Model

2014 ◽  
Vol 1 (2) ◽  
pp. 88-103
Author(s):  
Ranadhir Roy ◽  
◽  
Daniel Riahi ◽  
Nelson Carrasquero
Keyword(s):  
Mathematical Modeling ◽  
Blood Flow ◽  
Power Law ◽  
Fluid Model ◽  
Power Law Fluid

A Non-Newtonian Fluid Flow Model for the Slip Condition on Blood Flow through a Stenosed Artery using Power-law Fluid

2018 ◽  
Vol 9 (7) ◽  
pp. 871-879
Author(s):  
Rajesh Shrivastava ◽  
R. S. Chandel ◽  
Ajay Kumar ◽  
Keerty Shrivastava and Sanjeet Kumar
Keyword(s):  
Blood Flow ◽  
Fluid Flow ◽  
Newtonian Fluid ◽  
Power Law ◽  
Flow Model ◽  
Slip Condition ◽  
Power Law Fluid ◽  
Stenosed Artery ◽  
Flow Through

scholarly journals Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110316
Author(s):  
Salman Akhtar ◽  
Luthais B McCash ◽  
Sohail Nadeem ◽  
Salman Saleem ◽  
Alibek Issakhov
Keyword(s):  
Blood Flow ◽  
Flow Problem ◽  
Fluid Model ◽  
Casson Fluid ◽  
Viscous Effects ◽  
Heating Effects ◽  
Casson Fluid Model ◽  
Flow Through ◽  
Mathematical Equations ◽  
Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

scholarly journals Mathematical Analysis of Unsteady Solute Dispersion with Chemical Reaction Through a Stenosed Artery

2021 ◽  
Vol 86 (2) ◽  
pp. 56-73
Author(s):  
Nurul Aini Jaafar ◽  
Siti NurulAifa Mohd ZainulAbidin ◽  
Zuhaila Ismail ◽  
Ahmad Qushairi Mohamad
Keyword(s):  
Blood Flow ◽  
Chemical Reaction ◽  
Power Law ◽  
Plug Flow ◽  
Arterial Disease ◽  
Arterial Stenosis ◽  
Dispersion Function ◽  
Dispersion Process ◽  
Solute Dispersion ◽  
Power Law Index

One major kind of arterial disease in blood flow that attracted many researchers is arterial stenosis. Arterial stenosis occurs when a lumen of artery is narrowed by the accumulation of fats, cholesterols and lipids plaques at the inner layer of the wall of an artery. To treat this arterial disease, the drug (solute) is injected into the blood vessels. Injection of the drug into the blood vessel cause the occurrence of chemical reaction between the drug and blood proteins and it affects the effectiveness of the solute transportation in blood flow. Hence, this study examines the unsteady dispersion of solute with the influence of chemical reaction and stenosis height through a very narrow artery with a cosine-curved stenosis. The blood is treating as Herschel-Bulkley (H-B) fluid. The momentum and constitutive equations are solved analytically to gain velocity of H-B blood flow. The convective-diffusion equation is solved by applying the generalized dispersion model to gain the dispersion function of solute. The influence of chemical reaction, power-law index, plug flow radius and stenosis height on the solute dispersion process is investigated. The results are validated with the previous solution without the effect of chemical reaction and stenosis. The results showed a good conformity between the two solutions. An increase in the chemical reaction coefficient, stenosis height, power-law index and plug flow radius reduces the dispersion function. It is observed that the solute dispersion in blood flow is affected by chemical reaction and stenosis height. H-B fluid is an appropriate fluid to investigate the blood velocity and transportation of the drug in blood flow to the targeted stenosed region through a very narrow artery for the treatment of arterial diseases. The results of the present study can potentially be used to predict the changes of blood flow behavior and dispersion process in blood flow.

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