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Cites:

Information Journal Paper

Title

A Mathematical modeling for the study of blood flow as a cross fluid through a tapered artery

Pages

  15-30

Abstract

 In this research, a two-dimensional model of Pulsatile Blood Flow through a Tapered Artery with a Non-symmetric Stenosis is simulated. The blood flow as a Cross Fluid is modeled in an elastic cylindrical tube with an axially Non-symmetric Stenosis and a time-dependent geometry. The velocity of blood flow is compared within an elastic artery and an inelastic artery. Mild stenosis approximation is applied to simplify the governing equations. By applying an appropriate coordinate transformation, a cosine elastic artery turns into a rectangular and rigid artery. Using the Finite Difference Method the Navier-Stokes equations governing the dynamics of the blood flow are numerically solved for velocity field. The correctness of the proposed model is proved through a comparison between the obtained results the present study and the previously obtained ones by others. The blood flow characteristics including resistive impedances, volumetric flow rate, and wall shear stress are obtained via the axial velocity profile. Various Two-dimensional diagrams for different parameters of the velocity distribution are also provided.

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    APA: Copy

    HAGHIGHI, A.R., Pirhadi, N., & Shahbazi Asl, M.. (2019). A Mathematical modeling for the study of blood flow as a cross fluid through a tapered artery. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 5(20 ), 15-30. SID. https://sid.ir/paper/257353/en

    Vancouver: Copy

    HAGHIGHI A.R., Pirhadi N., Shahbazi Asl M.. A Mathematical modeling for the study of blood flow as a cross fluid through a tapered artery. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2019;5(20 ):15-30. Available from: https://sid.ir/paper/257353/en

    IEEE: Copy

    A.R. HAGHIGHI, N. Pirhadi, and M. Shahbazi Asl, “A Mathematical modeling for the study of blood flow as a cross fluid through a tapered artery,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 5, no. 20 , pp. 15–30, 2019, [Online]. Available: https://sid.ir/paper/257353/en

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