Theoretical Analysis of Shear Thinning Hyperbolic Tangent Fluid Model for Blood Flow in Curved Artery with Stenosis

Abstract

In this paper, we have considered the blood flow in a curved channel with abnormal development of stenosis in an axis-symmetric manner. The constitutive equations for incompressible and steady non-Newtonian tangent hyperbolic fluid have been modeled under the mild stenosis case. A perturbation technique and homotopy perturbation technique have been used to obtain analytical solutions for the wall shear stress, resistance impedance to flow, wall shear stress at the stenosis throat and velocity profile. The obtained results have been discussed for different tapered arteries i.e., diverging tapering, converging tapering, non-tapered arteries with the help of different parameters of interest and found that tapering dominant the curvature of the curved channel.

Elasticity Amelioration in transporting blood flow within curved stenotic tubes

“…(a) Variation of velocity $$u( r )$$ with $$r$$ for different values of ($${w}_e$$). (b) Variation of velocity $$u( r )$$ with $$r$$ for different values of ($${w}_e$$) [13]. …”

“…In this research paper, we work on the presence of stenosis in the case of a curved elastic tube. In order to clarify one of the differences, we substitute in the flow rate Equation () for $$\mathop h\limits^\prime $$ = 0, we extract the same results as found in the Nadeem, and Ijaz, [13], see Figure 17b. Also, for $${w}_e = \ 0$$, Equation () reduces to the assumption of Rubinow and Keller [24] for a Newtonian fluid flow in an elastic tube.…”

“…We are aware of the use of the hyperbolic tangent fluid in this study. Nadeem and Ijaz [13] examined blood flow in the presence of stenosis within a curved artery using the hyperbolic tangent fluid model. Nadeem et al [14] discuss the mathematical model for a Herschel-Bulkley fluid flow in an elastic tube.…”

Effects of thermophoresis and brownian motion on the pulsating nano-fluid in a curved diseased arterial segment

“…In light of this, the majority of studies, as determined by our analysis of the literature, have considered blood flow through straight, stenosed arteries. Only a few researchers have intended to examine blood flow in tortuous channels utilizing various non-Newtonian fluid models [14,15]. The movement of HIV, HBV, H1N1 and HCV through blood flow is compared in this study by Ram et al [16,17].…”

Theoretical simulation of blood flow for non-Newtonian fluid through the diseased catheterized curved artery with heat and mass transfer

“…Nadeem and Ijaz (2016-a) [9] considered the viscous fluid model for the study of blood flow through an axisymmetric curved stenosed artery and used the CauchyEuler method solution to velocity profile, resistance impedance to flow and the pressure gradient. Nadeem and Ijaz (2016-b) [10] considered the blood flow in a curved channel with abnormal development of stenosis in an axis-symmetric manner. The constitutive equations for incompressible and steady non-Newtonian tangent hyperbolic fluid have been modelled under the mild stenosis case.…”