akbari-ganji homotopy perturbation method for analyzing the pulsatile blood flow in tapered stenosis arteries under the effect of magnetic field together with the impact of mass and heat transfer

The two-dimensional pulsatile blood flow in tapered stenosis arteries underthe effect of a magnetic field with mass and heat transfer was analyzed byusing a new analytical method called the akbari-ganji homotopyperturbation method (aghpm).this technique is based on integrating theakbari-ganji and the homotopy perturbation methods. we succeeded indeveloping the mathematical model studied by researchers liu and liu byadding the effect of the magnetic field of blood flow in addition to the effectof mass and heat transfer on it, this developed model has not been studiedbefore. in the two states (absence and presence) of a magnetic field; the axialvelocity, the wall shear stress, flow resistance and volumetric flow rate wereinvestigated under the impact of the angle of tapering, the grashof number,the solutal grashof number and magnetic field. the results show that in thecase of the absence magnetic field there is good agreement with the previousstudy made by the researchers liu and liu, while in the case of the presencemagnetic field it is noted that when the magnetic field increases from 2 to 6,the velocity and flow rate decrease, but in contrast the wall shear stress andresistance flow increases. moreover, the results establish that aghpm iseffective and extremely accurate in determining the analytical approximatesolution for pulsatile blood flow in tapered stenosis arteries under magneticfield influence. furthermore, the graphs of this novel solution demonstratethe validity, usefulness, and substantiality of aghpm, and are consistentwith the results of earlier investigations.