Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2025, , 86 - 99, 01.07.2025
https://doi.org/10.33434/cams.1604629

Öz

Kaynakça

  • [1] H. Schlichting, Boundary Layer Theory, McGraw Hill Education Indian Edition 2014, ISBN-13:978-93-329-0282-4, 7th Edition.
  • [2] S. Chakravarty, Effect of stenosis on the flow behavior of blood in an artery, Int. J. Eng. Sci., 25(8) (1987), 1003-1016. https://doi.org/10.1016/0020-7225(87)90093-0
  • [3] M. S. Shabbir, N. Ali, Z. Abbas, Unsteady blood flow of non-Newtonian fluid through a rigid artery in the presence of multiirregular stenoses. J. Braz. Soc. Mech. Sci. Eng., 40 (2018), Article ID 413. https://doi.org/10.1007/s40430-018-1327-x
  • [4] R. Padma, P. Ponalagusamy, R. T. Selvi, Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field, Appl. Math. Comput., 362 (2019), Article ID 124453. https://doi.org/10.1016/j.amc.2019.05.024
  • [5] R. K. Dash, G. Jayaraman, K. N. Mehta, Flow in a catheterized curved artery with stenosis, J. Biomech., 32(1) (1999), 49-61. https://doi.org/10.1016/S0021-9290(98)00142-0
  • [6] M. Ayub, I. Shahzadi, S. Nadeem, A ballon model analysis with Cu-blood medicated nanoparticles as drug agent through overlapped curved stenotic artery having compliant walls, Microsyst. Technol., 25 (2019), 2949-2962. https://doi.org/10.1007/s00542-018-4263-x
  • [7] A. Zaman, A. A. Khan, Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects, Math. Comput. Simul., 181 (2021), 82-97. https://doi.org/10.1016/j.matcom.2020.09.017
  • [8] A. Ahmed, S. Nadeem, Shape effect of Cu-nanoparticles in unsteady flow through curved artery with catheterized stenosis, Results Phys., 7 (2017), 677-689. https://doi.org/10.1016/j.rinp.2017.01.015
  • [9] A. Zaman, N. Ali, M. Sajid, Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery, AIP Adv., 6(1) (2016), Article ID 015118. https://doi.org/10.1063/1.4941358
  • [10] T. Hayat, N. Ali, S. Asghar, An analysis of peristaltic transport for flow of a Jeffrey fluid, Acta Mech., 193 (2007), 101-112. https://doi.org/10.1007/s00707-007-0468-2
  • [11] S. Chakravarty, P. K. Mandal, A Nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration, Math. Comput. Model., 24(1) (1996), 43-58. https://doi.org/10.1016/0895-7177(96)00079-9
  • [12] M. A. El Kot, Theoretical simulation of blood flow for non-Newtonian Fluid through diseased catheterized curved artery with heat and mass transfer, (2024), 12 pages. https://doi.org/10.22541/au.170665633.35943336/v1

Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field

Yıl 2025, , 86 - 99, 01.07.2025
https://doi.org/10.33434/cams.1604629

Öz

This investigation analyzes the physical properties of blood flow via a catheter in a damaged, curved artery while taking mass and heat transfer in a magnetic field. In order to get analytical answers for axial velocity, temperature, and concentration, this study models and solves the set of equations for the incompressible, non-Newtonian Jeffrey fluid under the mild stenosis approximation. The findings show that while there is less barrier to blood flow and concentration, an increase in the parameter of curvature raises shear stress of the artery wall, blood velocity, and temperature. The effect on key factors such as axial velocity, flow rate, resistance impedance, and wall shear stress of arterial geometrical variables such as stenosis, slip parameter, Hartmann number, and catheter parameter is thoroughly and quantitatively analyzed. Moreover, in trapping phenomena, the artery's curvature throws off the symmetry of the trapped bolus.

Kaynakça

  • [1] H. Schlichting, Boundary Layer Theory, McGraw Hill Education Indian Edition 2014, ISBN-13:978-93-329-0282-4, 7th Edition.
  • [2] S. Chakravarty, Effect of stenosis on the flow behavior of blood in an artery, Int. J. Eng. Sci., 25(8) (1987), 1003-1016. https://doi.org/10.1016/0020-7225(87)90093-0
  • [3] M. S. Shabbir, N. Ali, Z. Abbas, Unsteady blood flow of non-Newtonian fluid through a rigid artery in the presence of multiirregular stenoses. J. Braz. Soc. Mech. Sci. Eng., 40 (2018), Article ID 413. https://doi.org/10.1007/s40430-018-1327-x
  • [4] R. Padma, P. Ponalagusamy, R. T. Selvi, Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field, Appl. Math. Comput., 362 (2019), Article ID 124453. https://doi.org/10.1016/j.amc.2019.05.024
  • [5] R. K. Dash, G. Jayaraman, K. N. Mehta, Flow in a catheterized curved artery with stenosis, J. Biomech., 32(1) (1999), 49-61. https://doi.org/10.1016/S0021-9290(98)00142-0
  • [6] M. Ayub, I. Shahzadi, S. Nadeem, A ballon model analysis with Cu-blood medicated nanoparticles as drug agent through overlapped curved stenotic artery having compliant walls, Microsyst. Technol., 25 (2019), 2949-2962. https://doi.org/10.1007/s00542-018-4263-x
  • [7] A. Zaman, A. A. Khan, Time dependent non-Newtonian nano-fluid (blood) flow in w-shape stenosed channel; with curvature effects, Math. Comput. Simul., 181 (2021), 82-97. https://doi.org/10.1016/j.matcom.2020.09.017
  • [8] A. Ahmed, S. Nadeem, Shape effect of Cu-nanoparticles in unsteady flow through curved artery with catheterized stenosis, Results Phys., 7 (2017), 677-689. https://doi.org/10.1016/j.rinp.2017.01.015
  • [9] A. Zaman, N. Ali, M. Sajid, Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery, AIP Adv., 6(1) (2016), Article ID 015118. https://doi.org/10.1063/1.4941358
  • [10] T. Hayat, N. Ali, S. Asghar, An analysis of peristaltic transport for flow of a Jeffrey fluid, Acta Mech., 193 (2007), 101-112. https://doi.org/10.1007/s00707-007-0468-2
  • [11] S. Chakravarty, P. K. Mandal, A Nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration, Math. Comput. Model., 24(1) (1996), 43-58. https://doi.org/10.1016/0895-7177(96)00079-9
  • [12] M. A. El Kot, Theoretical simulation of blood flow for non-Newtonian Fluid through diseased catheterized curved artery with heat and mass transfer, (2024), 12 pages. https://doi.org/10.22541/au.170665633.35943336/v1
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Kısmi Diferansiyel Denklemler, Uygulamalı Matematik (Diğer)
Bölüm Makaleler
Yazarlar

Gauri Sethi 0009-0001-4927-813X

Surendra Kumar Agarwal 0000-0001-8801-8843

Erken Görünüm Tarihi 14 Haziran 2025
Yayımlanma Tarihi 1 Temmuz 2025
Gönderilme Tarihi 20 Aralık 2024
Kabul Tarihi 1 Haziran 2025
Yayımlandığı Sayı Yıl 2025

Kaynak Göster

APA Sethi, G., & Kumar Agarwal, S. (2025). Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field. Communications in Advanced Mathematical Sciences, 8(2), 86-99. https://doi.org/10.33434/cams.1604629
AMA Sethi G, Kumar Agarwal S. Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field. Communications in Advanced Mathematical Sciences. Temmuz 2025;8(2):86-99. doi:10.33434/cams.1604629
Chicago Sethi, Gauri, ve Surendra Kumar Agarwal. “Analytic Approach to Non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field”. Communications in Advanced Mathematical Sciences 8, sy. 2 (Temmuz 2025): 86-99. https://doi.org/10.33434/cams.1604629.
EndNote Sethi G, Kumar Agarwal S (01 Temmuz 2025) Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field. Communications in Advanced Mathematical Sciences 8 2 86–99.
IEEE G. Sethi ve S. Kumar Agarwal, “Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field”, Communications in Advanced Mathematical Sciences, c. 8, sy. 2, ss. 86–99, 2025, doi: 10.33434/cams.1604629.
ISNAD Sethi, Gauri - Kumar Agarwal, Surendra. “Analytic Approach to Non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field”. Communications in Advanced Mathematical Sciences 8/2 (Temmuz 2025), 86-99. https://doi.org/10.33434/cams.1604629.
JAMA Sethi G, Kumar Agarwal S. Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field. Communications in Advanced Mathematical Sciences. 2025;8:86–99.
MLA Sethi, Gauri ve Surendra Kumar Agarwal. “Analytic Approach to Non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field”. Communications in Advanced Mathematical Sciences, c. 8, sy. 2, 2025, ss. 86-99, doi:10.33434/cams.1604629.
Vancouver Sethi G, Kumar Agarwal S. Analytic Approach to non-Newtonian Jeffery Fluid Flow in a Catheterized Curved Artery: Exploring the Impact of Heat, Mass Transfer and Magnetic Field. Communications in Advanced Mathematical Sciences. 2025;8(2):86-99.

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