Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Bakhti, Hamzah; Azrar, L.

doi:10.1155/2016/9289684

Cited by 6 publications

(7 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Vardanyan [23] demonstrated that the use of a magnetic field diminishes the velocity of blood motion. Therefore, all researchers reported that the use of magnetic influence decayed the blood flow [24]. The researchers used various methods to measure the blood flow and some of the techniques depend on the thermal properties to predict the temperature of the tissue.…”

Section: Introductionmentioning

confidence: 99%

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

et al. 2021

View full text Add to dashboard Cite

This research work aims to scrutinize the mathematical model for the hybrid nanofluid flow in a converging and diverging channel. Titanium dioxide and silver (TiO2 and Ag) are considered as solid nanoparticles while blood is considered a base solvent. The couple-stress fluid model is essentially use to describe the blood flow. Therefore, the couple-stress term was used in the recent study with the existence of a magnetic field and a Darcy–Forchheiner porous medium. The heat absorption/omission and radiation terms were also included in the energy equation for the sustainability of drug delivery. An endeavor was made to link the recent study with the applications of drug delivery. It has already been revealed by the available literature that the combination of TiO2 with any other metal can destroy cancer cells more effectively than TiO2 separately. Both the walls are stretchable/shrinkable, whereas flow is caused by a source or sink with α as a converging/diverging parameter. Governing equations were altered into the system of non-linear coupled equations by using the similarity variables. The homotopy analysis method (HAM) was applied to obtain the preferred solution. The influences of the modeled parameters have been calculated and displayed. The confrontation of wall shear stress and hybrid nanofluid flow increased as the couple stress parameter rose, which indicates an improvement in the stability of the base fluid (blood). The percentage (%) increase in the heat transfer rate with the variation of nanoparticle volume fraction was also calculated numerically and discussed theoretically.

show abstract

Section: Introductionmentioning

confidence: 99%

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

et al. 2021

View full text Add to dashboard Cite

show abstract

“…The geometry of the tapered stenosed artery is shown in figs. 2(a) and 2(b), and can be expressed mathematically as [32]:…”

Section: Problem Formulationmentioning

confidence: 99%

“…1A, pp. [29][30][31][32][33][34][35][36][37][38][39][40] are made in this subject, as presented in [8][9][10]. This type of calculus allows defining precisely non-integer order derivatives or integrals.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model

2017

Self Cite

View full text Add to dashboard Cite

The aim of this paper is to deal with the pulsatile flow of blood in stenosed arteries using one of the known constitutive models that describe the viscoelasticity of blood witch is the generalized Oldroyd-B model with a variable-order fractional derivative. Numerical approximation for the axial velocity and wall shear stress were obtained by use of the implicit finite-difference scheme. The velocity profile is analyzed by graphical illustrations. This mathematical model gives more realistic results that will help medical practitioners and it has direct applications in the treatment of cardiovascular diseases.

show abstract

“…Bakhti and Azrar [9] studied the steady flow of a couplestress fluid through constricted tapered artery under influence of a transverse magnetic field, moving catheter, and slip velocity. Solutions to velocity and shear stress are expressed with Bessel's functions.…”

Section: Advances In Mathematical Physicsmentioning

confidence: 99%

Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid

Rubbab

Mirza

Siddique

et al. 2017

Advances in Mathematical Physics

View full text Add to dashboard Cite

The helical flows of couple-stress fluids in a straight circular cylinder are studied in the framework of the newly developed, fully determinate linear couple-stress theory. The fluid flow is generated by the helical motion of the cylinder with time-dependent velocity. Also, the couple-stress vector is given on the cylindrical surface and the nonslip condition is considered. Using the integral transform method, analytical solutions to the axial velocity, azimuthal velocity, nonsymmetric force-stress tensor, and couple-stress vector are obtained. The obtained solutions incorporate the characteristic material length scale, which is essential to understand the fluid behavior at microscales. If characteristic length of the couple-stress fluid is zero, the results to the classical fluid are recovered. The influence of the scale parameter on the fluid velocity, axial flow rate, force-stress tensor, and couple-stress vector is analyzed by numerical calculus and graphical illustrations. It is found that the small values of the scale parameter have a significant influence on the flow parameters.

show abstract

Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

Cited by 6 publications

References 18 publications

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

The Flow of Blood-Based Hybrid Nanofluids with Couple Stresses by the Convergent and Divergent Channel for the Applications of Drug Delivery

Pulsatile blood flow in constricted tapered artery using a variable-order fractional Oldroyd-B model

Unsteady Helical Flows of a Size-Dependent Couple-Stress Fluid

Contact Info

Product

Resources

About