Effect of Flow Unsteadiness on Dispersion in Non-Newtonian Fluid in an Annulus

Nagarani, P.; Sebastian, B. T.

doi:10.14317/jami.2017.241

Cited by 7 publications

(4 citation statements)

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“…The catheter radius of 0 < k < 1 and stenosis height of 0 ≤ 𝛿 ≤ 1 are chosen to be analyzed. According to Nagarani and Sebastian [17], the catheter range of 0.1 ≤ k ≤ 0.3 is the typical range in the cardiovascular system. Therefore, the effect of catheter radius is mainly analyzed at k = 0.1, 0.2, 0.3.…”

Section: Resultsmentioning

confidence: 99%

“…Their results showed that the dispersion coefficient decreases as the yield stress and catheter size increase. On the other hand, Nagarani and Sebastian [17] studied the unsteady dispersion in a Casson model flowing through a catheterized artery and used the GDM in solving the dispersion coefficient. They reported that the increase in catheter size decreases the dispersion coefficient.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Unsteady Solute Dispersion in a Blood Flow of Herschel-Bulkley through a Catheterized Stenosed Artery

Munir

Jaafar²,

Shafie³

2022

Mal. J. Fund. Appl. Sci.

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Blockage of blood flow due to cholesterol deposits at the arterial wall, known as stenosis, can lead to conditions such as heart attack and stroke. Treatment such as balloon angioplasty involves the catheterization of an artery where a stented catheter is inflated at the stenosis site to open the narrowed artery. The catheterization of the stenosed artery affects the surrounding blood flow and dispersion process. The present study analyses the effect of catheter radius and stenosis height on the blood velocity and solute dispersion behavior. Herschel-Bulkley fluid is used to model the problem with stenosis as the boundary condition. The momentum equation and Herschel-Bulkley constitutive equation are solved analytically into integral forms. Simpson’s 3/8 rule and Regula-Falsi method were used to evaluate the integral numerically to obtain the velocity. The velocity was utilized to solve the unsteady convective-diffusion equation using the generalized dispersion model (GDM) to obtain the dispersion function. This present research can potentially help the medical field and industry in determining the suitable catheter radius for patients, calculating drug dosage and improving stent catheter design. Results show that the velocity decreases as the catheter radius and stenosis height increase. A decrease in velocity simultaneously increases the solute dispersion function.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Unsteady Solute Dispersion in a Blood Flow of Herschel-Bulkley through a Catheterized Stenosed Artery

Munir

Jaafar²,

Shafie³

2022

Mal. J. Fund. Appl. Sci.

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show abstract

“…m  0 95 is suitable for m  1 [16]. According to Nagarani and Sebastian [7], the yield stress range of .  0 0 1 and solute length values of 0.02 and 0.004 are within the typical ranges in the cardiovascular system.…”

Section: Resultsmentioning

confidence: 99%

“…Nagarani et al, [6] investigated the influence of boundary absorption on the dispersion of solute through a catheterized artery and utilizes the GDM to solve for the dispersion function solution. Nagarani and Sebastian [7] observed the dispersion behaviour affected by the flow unsteadiness through an annulus and adopted the GDM method to solve for the diffusion coefficient and mean concentration. Abidin et al, [1] conducted a research on the unsteady solute dispersion of Bingham flow through an artery with overlapping stenosis.…”

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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Convection-diffusion in unsteady non-Newtonian fluid flow in an annulus with wall absorption

Sebastian

Nagarani

2018

Korea-Aust. Rheol. J.

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Effect of Flow Unsteadiness on Dispersion in Non-Newtonian Fluid in an Annulus

Cited by 7 publications

References 0 publications

Analysis of Unsteady Solute Dispersion in a Blood Flow of Herschel-Bulkley through a Catheterized Stenosed Artery

Analysis of Unsteady Solute Dispersion in a Blood Flow of Herschel-Bulkley through a Catheterized Stenosed Artery

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

Convection-diffusion in unsteady non-Newtonian fluid flow in an annulus with wall absorption

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