Numerical technique of blood flow through catheterized arteries with overlapping stenosis.
This study is concerned with the surgical technique for the injection of a catheter through arteries with overlapping stenosis in the presence of externally applied magnetic field and Hall currents influences. The nature of blood is analyzed mathematically by considering it as a micropolar fluid. The analysis is carried out for an artery with a mild stenosis. The governing equations with the corresponding boundary conditions solved numerically using Crank-Nicolson implicit finite difference scheme. The numerical technique give excellent agreement for axial velocity of the fluid, the circumferential microrotation, the wall shear stress distribution and the contour plots of stream lines. The obtained results show that the value of axial velocity is higher for a Newtonian fluid than that for a micropolar fluid model, the effect of suitable moving magnetic field (Hall currents influences) accelerates the speed of blood, the size of trapped bolus for the stream lines decrease if the spinning movement of the fluid molecules have considerable value regardless of small or large size of the fluid molecules and the flow of fluid is better with increasing the Hall current effect and the size of trapping bolus increase clearly by increasing the maximum height of stenosis where the fluid moves as a bulk.
a Faculty of Science, Department of Mathematics and Computer Science , Suez University , Suez , Egypt .
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El Kot
b Basic and Applied Science Department , College of Engineering and Technology, Arab Academy for Science, Technology, and Maritime Transport , Cairo , Egypt .
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Abbas
D001158:Arteries / Q000502:physiology; D002404:Catheterization / Q000379:methods*; D003251:Constriction, Pathologic / Q000628:therapy*; D006439:Hemodynamics; D006801:Humans; D008955:Models, Cardiovascular; D013314:Stress, Mechanical
Blood flow; Crank–Nicolson finite difference scheme; Hall currents influences; arteries; overlapping stenosis