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- Title
Modify homotopy perturbation method using yang transform to study the effect of magnetic field with mass and heat transfer on pulsatile blood flow in tapered stenosis arteries.
- Authors
Al‐Griffi, Takia A. J.; Al‐Saif, Abdul‐Sattar J.
- Abstract
The effect of a magnetic field on two‐dimensional pulsatile blood flow in tapered stenosis arteries was studied by employing the Yang transform homotopy perturbation method (YTHPM). The mathematical model which was solved by the researchers Liu and Liu, was successfully developed by adding the effect of a magnetic field for the blood flow in addition to the effect of mass and heat transfer on it. The impact of the angle of tapering, the Grashof number, the solutal Grashof number, and the magnetic field on the axial velocity, the wall shear stress, flow resistance, and the volumetric flow rate was investigated in two cases absence and presence of the magnetic field. The results prove that YTHPM is efficacious and highly accurate in finding the analytical approximate solution for pulsatile blood flow in tapered stenosis arteries under the influence of a magnetic field. The convergence of the new solutions is also discussed in the absence and presence of the magnetic field. Further, the graphs of these new solutions show the validity of, a necessity for, and utility of YTHPM, and are in line with results put forward by other studies.
- Subjects
PULSATILE flow; MAGNETIC field effects; BLOOD flow; ARTERIAL stenosis; MASS transfer; HEAT transfer; HAMILTONIAN graph theory
- Publication
Heat Transfer, 2023, Vol 52, Issue 3, p2249
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.22783