Mathematical Modeling of Blood Flow With the Suspension of Nanoparticles Through a Tapered Artery With a Blood Clot

被引:14
作者
Shah, Sapna Ratan [1 ]
Kumar, Rohit [1 ]
机构
[1] Jawaharlal Nehru Univ, Sch Computat & Integrat Sci, Biomath Lab 34, New Delhi, India
来源
FRONTIERS IN NANOTECHNOLOGY | 2020年 / 2卷
关键词
Prandlt fluid model; blood flow; stenotic artery with clot; tapering parameter; converging tapering; FLUID;
D O I
10.3389/fnano.2020.596475
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
In this study, some key new developments in nanoscience which highlight the problem of nanoparticles in blood flow through mild stenosis in the presence of a blood clot have been presented. The blood flow behavior through the stenosed artery is considered using the Prandlt fluid model and the flow of blood is considered as suspension of nanoparticles. An appropriate non-linear system of equations governing blood flow is represented in a cylindrical coordinate system and solved exactly under mild stenotic conditions using the geometry of the stenotic artery in the presence of a clot. Heat transfer phenomena have been examined for the physical features of the flow of blood through a stenosed artery, which is tapered in shape and with the presence of a clot. The temperature profile has been discussed with graphs for several different parameters of clot size, stenosis height, heat source, and sink parameter. Tapering phenomena has been analyzed for temperature profile. It is examined that in converging tapering the temperature provides greater values as estimated together with the non-tapered arteries and diverging tapering arteries. In this work, it is also analyzed that with a rise in the clot size (s) the temperature (?) increases, whereas the radius of the artery with stenosis h(z) decreases and heat source and sink parameter (D) increases.
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页数:5
相关论文
共 19 条
  • [11] The influence of a micropolar fluid on peristaltic transport in an annulus: Application of the clot model
    Mekheimer, Kh.S.
    Elmaboud, Y. Abd
    [J]. Applied Bionics and Biomechanics, 2008, 5 (01) : 13 - 23
  • [12] Numerical Simulation of Generalized Newtonian Blood Flow Past a Couple of Irregular Arterial Stenoses
    Mustapha, Norzieha
    Mandal, Prashanta K.
    Abdullah, Ilyani
    Amin, Norsarahaida
    Hayat, Tasawar
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 27 (04) : 960 - 981
  • [13] Power law fluid model for blood flow through a tapered artery with a stenosis
    Nadeem, S.
    Akbar, Noreen Sher
    Hendi, Awatif A.
    Hayat, T.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) : 7108 - 7116
  • [14] Heat transfer and fluid flow of blood with nanoparticles through porous vessels in a magnetic field: A quasi-one dimensional analytical approach
    Rahbari, A.
    Fakour, M.
    Hamzehnezhad, A.
    Vakilabadi, M. Akbari
    Ganji, D. D.
    [J]. MATHEMATICAL BIOSCIENCES, 2017, 283 : 38 - 47
  • [15] Mathematical modelling of pulsatile flow of Casson's fluid in arterial stenosis
    Siddiqui, S. U.
    Verma, N. K.
    Mishra, Shailesh
    Gupta, R. S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) : 1 - 10
  • [16] Varshney G., 2010, International Journal of Engineering, Science, and Technology, V2, P67, DOI [10.4314/ijest.v2i2.59142, DOI 10.4314/IJEST.V2I2.59142]
  • [17] FLOW CHARACTERISTICS IN MODELS OF ARTERIAL STENOSES .1. STEADY FLOW
    YOUNG, DF
    TSAI, FY
    [J]. JOURNAL OF BIOMECHANICS, 1973, 6 (04) : 395 - &
  • [18] EFFECT OF A TIME-DEPENDENT STENOSIS ON FLOW THROUGH A TUBE
    YOUNG, DF
    [J]. JOURNAL OF ENGINEERING FOR INDUSTRY-TRANSACTIONS OF THE ASME, 1968, 90 (02): : 248 - &
  • [19] FLUID-MECHANICS OF ARTERIAL STENOSES
    YOUNG, DF
    [J]. JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1979, 101 (03): : 157 - 175