A Casson Fluid Model for the Steady Flow through a Stenosed Blood Vessel

Gaur, Manish

doi:10.9734/bjmcs/2014/9563

Cited by 2 publications

(1 citation statement)

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“…Furthermore, the results showed that with an increase in the Hartmann number, and a decrease in the flow rate. The non-Newtonian Casson blood model in the stenosed artery was investigated [14] with slip condition and concluded that slip velocity increases, whereas shear stress and yield stress reduce in a radial direction. Bioheat transfer in biological tissue and analysis of blood temperature along the artery and vein was taken into account [15].…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of numerical simulations of blood flow through the segment of an artery in the presence of stenosis

Shaikh¹,

Hınçal²,

Shaikh³

2023

J. Appl. Math. Comput. Mech.

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A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin's time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky's method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.

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Section: Introductionmentioning

confidence: 99%