A biomechanical approach to study the effect of body acceleration and slip velocity through stenotic artery

Siddiqui, S. U.; Shah, Shachi; Geeta, .

doi:10.1016/j.amc.2015.03.082

Cited by 21 publications

(10 citation statements)

References 6 publications

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“…The stenosis is axially non-symmetric, however it is radially symmetric. The axial distance z and the height of its growth with the vessel radius (Siddiqui et al 2015):…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The blood flow was generated by the pressure gradient due to the pumping action of the heart (Akbarzadeh 2016;Siddiqui et al 2015):…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…In order to validate the current model, the results obtained by using the power series method and the perturbation method are compared in terms of physiological parameters selected based on Siddiqui et al (2015). Figure 2 compares the current results with those obtained from (30) Siddiqui et al (2015). Based on the result obtained, the blood motion equations in the absence of magnetic field and permeability are satisfied.…”

Section: Figure 1 Geometry Of Stenosis Approximate Analytical Solutimentioning

confidence: 99%

“…It was observed that the stenoses size decreases the flow rate and increases the wall shear stress as well as resistance to flow. Based on the research performed by Siddiqui et al (2015), wall slip would decrease the effective viscosity, the blood velocity and increase the flow resistance. Meanwhile, the shear wall stress decreased as the flow rate increased.…”

Section: Introductionmentioning

confidence: 99%

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Controlling the Blood Flow in the Stenosed Porous Artery with Magnetic Field

Jamil

Roslan

Abdulhameed

et al. 2018

JSM

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The unsteady blood flow in the stenosed porous artery subjected to a magnetic field was studied analytically. Oscillating pressure gradient and periodic body acceleration were imposed on the flow field. The effects of the magnetic field and the permeability of the stenosed artery on the blood velocity were studied. The results showed that the magnetic field affected the flow field significantly which can be beneficial for some practical problems.

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“…The stenosis is axially non-symmetric, however it is radially symmetric. The axial distance z and the height of its growth with the vessel radius (Siddiqui et al 2015):…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…The blood flow was generated by the pressure gradient due to the pumping action of the heart (Akbarzadeh 2016;Siddiqui et al 2015):…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Figure 1 Geometry Of Stenosis Approximate Analytical Solutimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Controlling the Blood Flow in the Stenosed Porous Artery with Magnetic Field

Jamil

Roslan

Abdulhameed

et al. 2018

JSM

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“…is the periodic body acceleration in the axial direction, A 0 is the amplitude of body acceleration, u is the phase angle, 26 s rz is the shear stress in the axial direction which is given by…”

Section: Introductionmentioning

confidence: 99%

Towards the exact solutions of Burger’s fluid flow through arteries with fractional time derivative magnetic field and thermal radiation effects

Yakubu

Abdulhameed

Tahiru

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part E:

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We consider the unsteady flow of Burger fluid within a circular cylindrical tube, driven by a time-dependent pressure gradient, a body acceleration and a magnetic field acting normal to the flow direction. The solutions of the fractional constitutive equations governing the unsteady Burger’s fluid flow through arterial walls were obtained via the Laplace transform and the finite Hankel transform. The effects of magnetic field on parameters such as blood temperature and velocity were studied by Caputo time-fractional derivatives. We note that the solutions of many particular models such as fractional Oldroyd-B fluid, fractional Maxwell fluid, fractional second grade fluid and fractional Newtonian fluid models can be recovered from the solutions of the fractional constitutive equations governing the unsteady Burger’s fluid flow by particularizing the material coefficients (i.e. special and limiting cases of the earlier Burger’s fluid model). The numerical computations have been carried out to analyze the effects of fractional parameter α, similarity parameter β, relaxation time λ1, retardation time λ3, radius of the circular cylinder R0 and material parameter λ2 on the blood velocity and temperature. Some interesting flow and temperature characteristics are presented graphically and discussed. The study reveals that blood velocity, temperature and fractional parameters are reduced in the presence of magnetic field. The importance of this study can be found in the application fields of magnetic field control of biotechnological processes, bio magnetic device technology, biomedical engineering, medicine, etc.

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Computational study of the pulsatile EMHD Sutterby nanofluid flow of blood through an inclined tapered porous artery having overlapping stenosis with body acceleration and slip effects

El Glili,

Driouich

2024

Arch Appl Mech

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A biomechanical approach to study the effect of body acceleration and slip velocity through stenotic artery

Cited by 21 publications

References 6 publications

Controlling the Blood Flow in the Stenosed Porous Artery with Magnetic Field

Controlling the Blood Flow in the Stenosed Porous Artery with Magnetic Field

Towards the exact solutions of Burger’s fluid flow through arteries with fractional time derivative magnetic field and thermal radiation effects

Computational study of the pulsatile EMHD Sutterby nanofluid flow of blood through an inclined tapered porous artery having overlapping stenosis with body acceleration and slip effects

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