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

Year 2025, Volume: 8 Issue: 2, 86 - 99, 01.07.2025
https://doi.org/10.33434/cams.1604629

Abstract

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.

References

  • [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

Year 2025, Volume: 8 Issue: 2, 86 - 99, 01.07.2025
https://doi.org/10.33434/cams.1604629

Abstract

References

  • [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
There are 12 citations in total.

Details

Primary Language English
Subjects Partial Differential Equations, Applied Mathematics (Other)
Journal Section Research Article
Authors

Gauri Sethi 0009-0001-4927-813X

Surendra Kumar Agarwal 0000-0001-8801-8843

Submission Date December 20, 2024
Acceptance Date June 1, 2025
Early Pub Date June 14, 2025
Publication Date July 1, 2025
Published in Issue Year 2025 Volume: 8 Issue: 2

Cite

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. July 2025;8(2):86-99. doi:10.33434/cams.1604629
Chicago Sethi, Gauri, and 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, no. 2 (July 2025): 86-99. https://doi.org/10.33434/cams.1604629.
EndNote Sethi G, Kumar Agarwal S (July 1, 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 and 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, vol. 8, no. 2, pp. 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 (July2025), 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 and 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, vol. 8, no. 2, 2025, pp. 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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