Dispersion of solute with chemical reaction in blood flow

Ratchagar, Nirmala P.; Kumar, R. V. M. S. S. Kiran

doi:10.5958/2320-3226.2019.00042.0

Cited by 5 publications

(4 citation statements)

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“…The present results of H-B fluid with the effect of stenosis and chemical reaction in bloodstream are beneficial to determine the effectiveness of solute dispersion in a narrow stenosed artery and also important to determine the rate of reaction between the blood protein and solute. The range of values of parameters used in this study are as follows: yield stress : p r 0-0.2; power-law index n: 0.95-1.05; rate of chemical reaction parameter  : 0-8 [13,14]. The present results of dispersion coefficient in H-B fluid with the influence of stenosis and chemical reaction has been validated with Jaafar [10] by letting the stenosis height and chemical reaction parameter equal to zero.…”

Section: Resultsmentioning

confidence: 99%

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

Jaafar

ZainulAbidin

Ismail

et al. 2021

ARFMTS

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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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Section: Resultsmentioning

confidence: 99%

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

Jaafar

ZainulAbidin

Ismail

et al. 2021

ARFMTS

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“…In observing the solute dispersion behavior, many methods have been adopted by researchers to obtain the solution that explains the behavior of dispersion. Ratchagar and VijayaKumar [8] conducted a study on the solute dispersion in a steady Newtonian model flow through a mild stenosed inclined artery under the influence of externally applied magnetic field and chemical reaction by adopting the Taylor's dispersion model to solve for the solute dispersion behavior. Bég and Roy [9] conducted a study regarding a dual species drug delivery by solving the bi-component species transport using the perturbation method for obtaining axial velocity and Aris-Barton approach for solving solute dispersion.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Flow of Bingham Model: Investigating the Impact of Arterial Inclination on Solute Transport in Stenosed Artery

Intan Diyana Munir,

Sharidan Shafie Hamid,

Nurul Aini Jaafar

2024

ARD

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The present research investigates the impact of arterial inclination and body acceleration force on the blood flow and solute dispersion through a stenosed artery using the Bingham model as a representation of the blood rheology. The problem is formulated using the momentum equation with the presence of inclination and body force acceleration parameter; and solved numerically for the blood velocity using the perturbation method with the stenosis size as the boundary condition. The solute dispersion aspect is formulated using the unsteady convective-diffusion equation and solved using the Generalized Dispersion Model (GDM) for the steady dispersion function. The solutions are graphically plotted and analysis of the blood flow and solute dispersion under the influence of arterial inclination, yield stress, time and stenosis size are conducted. Results show that the increase in arterial inclination increases the blood velocity and steady dispersion function. However, the increment in yield stress and stenosis size shows a contradictory effect by decreasing the blood velocity and steady dispersion function.

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“…One of the fluid popular in studying the of solutes convection and diffusion is the nanofluid. In choosing the suitable fluid model to represent the blood rheology, no particular model is collectively acknowledged to reflect the blood viscosity exact nature [8]. Therefore, researchers have used Newtonian and various non-Newtonian models in representing the blood flow.…”

Section: Introductionmentioning

confidence: 99%

Effect of Catheter and Stenosis on Solute Diffusion in Non-Newtonian Blood Flow through a Catheterized Stenosed Artery

Munir

Jaafar

Shafie

2022

CFDL

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The presence of stenosis at the wall of the artery lead to further cardiovascular diseases such as heart attack, stroke and many more. Treatment of a stenosed artery includes the insertion of a catheter through the artery which affects the blood flow and solute dispersion. This present study focuses on the effect of catheter radius and stenosis height on the blood flow and solute dispersion behavior. The problem is modelled using the Herschel-Bulkley fluid to represent the blood rheology, with catheter and stenosis as the boundary conditions. Analytical solutions in integral form are obtained by solving the momentum equation and Herschel-Bulkley constitutive equation. The integrals are numerically evaluated using the Simpson’s 3/8 rule and Regula-Falsi method to obtain the blood velocity. The obtained velocity is employed into the unsteady convective-diffusion equation and solved using the generalized dispersion model (GDM) to analyse the behaviour of solute diffusion. The influence of catheter radius and stenosis height on the diffusion coefficient and mean concentration of solute are observed. Results show that the diffusion coefficient decreases as the catheter radius and stenosis height increases. A decrease in diffusion coefficient simultaneously increases the solute mean concentration.

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Dispersion of solute with chemical reaction in blood flow

Cited by 5 publications

References 0 publications

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

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

Unsteady Flow of Bingham Model: Investigating the Impact of Arterial Inclination on Solute Transport in Stenosed Artery

Effect of Catheter and Stenosis on Solute Diffusion in Non-Newtonian Blood Flow through a Catheterized Stenosed Artery

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