Axial blood flow with medicated antimicrobial agents through stenotic aneurysmal arterial segment: An application to eccentric catheter injection with fractional model
Corresponding Author
Obaid Ullah Mehmood
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt., Pakistan
Correspondence
Obaid Ullah Mehmood, Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt. 47040, Pakistan.
Email: [email protected]
Search for more papers by this authorSehrish Bibi
Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, Caserta, Italy
Search for more papers by this authorMomna Nawaz
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt., Pakistan
Search for more papers by this authorAamir Naseer
Cardiology, Shifa International Hospital, Islamabad, Pakistan
Search for more papers by this authorCorresponding Author
Obaid Ullah Mehmood
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt., Pakistan
Correspondence
Obaid Ullah Mehmood, Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt. 47040, Pakistan.
Email: [email protected]
Search for more papers by this authorSehrish Bibi
Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, Caserta, Italy
Search for more papers by this authorMomna Nawaz
Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt., Pakistan
Search for more papers by this authorAamir Naseer
Cardiology, Shifa International Hospital, Islamabad, Pakistan
Search for more papers by this authorAbstract
Thread injection is a promising way for embedding clinical inserts inside the human body with minimal careful injury, which rouses the exploration of thread annular flow. The permeable thread is wound onto a spool and then injected into an arterial segment utilizing a pressure gradient. The infusion technique should be smooth, and lateral thread deviations ought to stay away from it. A mathematical analysis of the surgical approach for injecting catheters via a stenotic aneurysmal artery is the subject of this research. Medicated antimicrobial agents are characterized by hybrid nanoparticles, and the blood is treated as a fractional second-grade fluid. Governing equations are formulated in the cylindrical polar coordinates along with boundary conditions. Limiting to the mild disease case, the issue is expressed in the form of a variation of the eccentricity parameter by a perturbation expansion. Our findings indicate that the axial velocity changes conversely along the catheter radius, eccentricity, and relaxation time. Axial velocity for the aneurysmal segment is higher than that of the stenosis segment. Contrary behavior of shear stress is observed on arterial and catheter walls. Moreover, the resistance impedance in the aneurysmal section is lower as compared to the stenotic segment. By exploring the use of medicated antimicrobial agents with eccentric catheter injection and fractional modeling, this investigation has the potential to transform the treatment of various vascular and cardiovascular conditions, leading to improved patient outcomes.
REFERENCES
- 1Chaturani, P., Samy, R.P.: A study of non-Newtonian aspects of blood flow through stenosed arteries and its application in arterial diseases. Biorheology 22, 521–531 (1985)
- 2Mehmood, O.U., Mustapha, N., Shafie, S.: Unsteady two dimensional blood flow in porous artery with multi-irregular stenosis. Transp. Porous Media 92, 259–275 (2012)
10.1007/s11242-011-9900-0 Google Scholar
- 3Pincombe, B., Mazumdar, J.: The effects of post-stenotic dilatations on the flow of a blood analogue through stenosed coronary arteries. Math. Comput. Modelling 25, 57–70 (1997)
10.1016/S0895-7177(97)00039-3 Google Scholar
- 4Nadeem, S., Ijaz, S.: Influence of metallic nanoparticles on blood flow through arteries having both stenosis and aneurysm. IEEE Trans. Nanobiosci. 14, 668–679 (2015)
- 5Ellahi, R., Rahman, S., Nadeem, S.: Blood flow of Jeffrey fluid in a catharized tapered artery with the suspension of nanoparticles. Phys. Lett. A 378, 2973–2980 (2014)
- 6Abdelsalam, S.I., Mekheimer, Kh.S., Zaher, A.Z.: Alterations in blood stream by electroosmotic forces of hybrid nanofluid through diseased artery: Aneurysmal/stenosed segment. Chin. J. Phys. 67, 314–329 (2020)
- 7Akbar, S.N., Nadeem, S.: Blood flow analysis in tapered stenosed arteries with pseudoplastic characteristics. Int. J. Biomath. 7, 1450065 (2014)
10.1142/S179352451450065X Google Scholar
- 8Mantha, A.R., Benndorf, G., Hernandez, A., Metcalfe, R.W.: Stability of pulsatile blood flow at the ostium of cerebral aneurysms. J. Biomech. 42, 1081–1087 (2009)
- 9Abdelsalam, S.I., Vafai, K.: Particulate suspension effect on peristaltically induced unsteady pulsatile flow in a narrow artery: Blood flow model. Math. Biosci. 283, 91–105 (2017)
- 10Dash, R.K., Jayaraman, G., Mehta, K.N.: Flow in a catheterized curved artery with stenosis. J. Biomech. 32(1), 49–61 (1999)
- 11Srivastava, V.P., Rastogi, R.: Blood flow through a stenosed catheterized artery: Effects of hematocrit and stenosis shape. Comput. Math. Appl. 59(4), 1377–1385 (2010)
- 12Ramana Reddy, J.V., Srikanth, D., Krishna Murthy, S.V.S.S.N.V.G.: Mathematical modelling of pulsatile flow of blood through catheterized unsymmetric stenosed artery effects of tapering angle and slip velocity. Eur. J. Mech.–B/Fluids 48, 236–244 (2014)
10.1016/j.euromechflu.2014.07.001 Google Scholar
- 13Zaman, A., Ali, N., Beg, O.A.: Numerical simulation of unsteady micropolar hemodynamics in a tapered catheterized artery with a combination of stenosis and aneurysm. Med. Biol. Eng. Comput. 54, 1423–1436 (2016)
- 14Saleem, A., Akhtar, S., Nadeem, S., Issakhov, A., Ghalambaz, M.: Blood flow through a catheterized artery having a mild stenosis at the wall with a blood clot at the centre. Comput. Model. Eng. Sci. 125(2), 565–577 (2020)
- 15Mekheimer, Kh.S., El Kot, M.A.: Suspension model for blood flow through catheterized curved artery with time-variant overlapping stenosis. Eng. Sci. Technol. Int. J. 18(3), 452–462 (2015)
- 16Srikanth, D., Ramana Reddy, J.V., Jain, S., Kale, A.: Unsteady polar fluid model of blood flow through tapered -shape stenosed artery: Effects of catheter and velocity slip. Ain Shams Eng. J. 6(3), 1093–1104 (2015)
- 17Doffin, J., Chagneau, F.: Oscillating flow between a clot model and a stenosis. J. Biomech. 14(3), 143–148 (1981)
- 18Chawda, A., Avgousti, M.: Stability of visoelastic flow between eccentric rotating cylinders. J. Non-Newtonian Fluid Mech. 63, 97–120 (1996)
- 19Daripa, P., Dash, R.K.: A numerical study of pulsatile blood flow in an eccentric catheterized artery using a fast algorithm. J. Eng. Math. 42, 1–22 (2002)
- 20Labadin, J., Walton, A.G.: Modeling of axial flow between eccentric cylinders. Proceedings of the 2nd IMT-GT regional conference on mathematics, statistics and applications, University Sains Malaysia, Malaysia, 13–15 June 2006.
- 21Mekheimer, Kh.S., El Kot, M.A.: Mathematical modeling of axial flow between two eccentric cylinders: Application on the injection of eccentric catheter through stenotic arteries. Int. J. Non-Linear Mech. 47, 927–937 (2012)
- 22Ahrabi, S.S., Shojafar, M., Esfeh, H.K., Abraham, A.: Mathematical modeling of blood flow through an eccentric catheterized artery: A practical approach for a complex system. International conference on Hybrid Intelligent Systems (HIS), IEEE, Kuwait, 14–16 December 2014. https://doi.org/10.1109/HIS.2014.7086168, INSPEC Accession Number: 15059017.
10.1109/HIS.2014.7086168 Google Scholar
- 23Jian, T.C, Amin, N.: Analysis of blood flow through a catheterized stenosed artery using Mathematica. AIP Conf. Proc. 1750, 030048 (2016). https://doi.org/10.1063/1.4954584
10.1063/1.4954584 Google Scholar
- 24Maskeen, M.M., Zeeshan, A., Mehmood, O.U., Hassan, M.: Heat transfer enhancement in hydromagnetic alumina-copper/water hybrid nanofluid flow over a stretching cylinder. J. Therm. Anal. Calorim. 138, 1127–1136 (2019). https://doi.org/10.1007/s10973-019-08304-7
- 25Mekheimer, Kh.S., Hasona, W.M., Abo-Elkhair, R.E., Zaher, A.Z.: Peristaltic blood flow with gold nanoparticles as a third grade nanofluid in catheter: Application of cancer therapy. Phys. Lett. A 382, 85–93 (2018)
- 26Marin, M., Maskeen, M.M., Zeeshan, A., Mehmood, O.U., Hassan, M.: Hydromagnetic transport of iron nanoparticle aggregates suspended in water. Indian J. Phys. 93(1), 53–59 (2019)
- 27Shahzadi, I., Suleman, S., Saleem, S., Nadeem, S.: Utilization of Cu-nanoparticles as medication agent to reduce atherosclerotic lesions of a bifurcated artery having compliant walls. Comput. Methods Programs Biomed. 184, 105123 (2020)
- 28Zeeshan, A., Maskeen, M.M., Mehmood, O.U.: Hydromagnetic nanofluid flow past a stretching cylinder embedded in non-Darcian Forchheimer porous media. Neural Comput. Applic. 30, 3479–3489 (2018)
- 29Hameed, M., Khan, A.A., Ellahi, R., Raza, M.: Study of magnetic and heat transfer on the peristaltic transport of a fractional second grade fluid in a vertical tube. Eng. Sci. Technol. Int. J. 18, 496–502 (2015)
10.1016/j.jestch.2015.03.004 Google Scholar
- 30Rathod, V.P., Tuljappa, A.: Slip effect on the peristaltic flow of a fractional second grade fluid through a cylindrical tube. Adv. Appl. Sci. Res. 6(3), 101–111 (2015)
- 31Uddin, S., Mohamad, M., Mohmad, M.A.H., Mehmood, O.U., Kamardan, M., Roslan, R.: Natural heat transfer phenomenon in MHD fractional second grade fluid. Univers. J. Mech. Eng. 7(6C), 32–36 (2019). https://doi.org/10.13189/ujme.2019.071605
10.13189/ujme.2019.071605 Google Scholar
- 32Mehmood, O.U., Bibi, S., Jamil, D.F., Uddin, S., Roslan, R., Md Akhir, M.K.: Concentric ballooned catheterization to the fractional non‑Newtonian hybrid nano blood flow through a stenosed aneurysmal artery with heat transfer. Sci. Rep. 11, 20379 (2021)
- 33Raza, R., Naz, R., Abdelsalam, S.I.: Microorganisms swimming through radiative Sutterby nanofluid over stretchable cylinder: Hydrodynamic effect. Numer. Methods Partial Differ. Equ. 39, 975–994 (2022)
- 34Faizan, M., Ali, F., Loganathan, K., Zaib, A., Reddy, C.A., Abdelsalam, S.I.: Entropy analysis of Sutterby nanofluid flow over a Riga sheet with gyrotactic microorganisms and Cattaneo–Christov double diffusion. Mathematics 10, 3157 (2022)
- 35Abdelsalam, S.I., Mekheimer, K.S., Zaher, A.Z.: Dynamism of a hybrid Casson nanofluid with laser radiation and chemical reaction through sinusoidal channels. Waves Random Complex Media 1–22 (2022). https://doi.org/10.1080/17455030.2022.2058714
- 36Thumma, T., Mishra, S.R., Abbas, M.A., Bhatti, M.M.: Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet. Appl. Math. Comput. 16, 26927 (2022). https://doi.org/10.1016/j.amc.2022.126927
10.1016/j.amc.2022.126927 Google Scholar
- 37Abdelsalam, S.I., Zaher, A.Z.: On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid. Math. Model. Nat. Phenom. 17, 27 (2022). https://doi.org/10.1051/mmnp/2022030
- 38Alsharif, A.M., Abdellateef, A.I., Elmaboud, Y.A., Abdelsalam, S.I.: Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: Fractional Cattaneo heat flux problem. Appl. Math. Mech. 43, 931–944 (2022)
10.1007/s10483-022-2854-6 Google Scholar
- 39Sridhar, V., Ramesh, K., Gnaneswara Reddy, M.G., Azese, M.N., Abdelsalam, S.I.: On the entropy optimization of hemodynamic peristaltic pumping of a nanofluid with geometry effects. Waves Random Complex Media 1–21 (2022). https://doi.org/10.1080/17455030.2022.2061747
- 40Mekheimer, K.S., Abo-Elkhair, R.E., Abdelsalam, S.I., Ali, K.K., Moawad, A.M.A.: Biomedical simulations of nanoparticles drug delivery to blood hemodynamics in diseased organs: Synovitis problem. Int. Commun. Heat Mass Transf. 130, 105756 (2022)
