Research Article
BibTex RIS Cite

Year 2026, Volume: 29 Issue: 1 , 50 - 60 , 08.03.2026
https://doi.org/10.5541/ijot.1759311
https://izlik.org/JA99YX49BN

Abstract

References

  • H. E. A. Baieth, “Physical parameters of blood as a non-Newtonian fluid,” International Journal of Biomedical Science, vol. 4, no. 4, pp. 323–329, 2008.
  • M. Hatami, R. Ellahi, D. D. Ganji, and T. Hayat, “Investigation of third-grade non-Newtonian blood flow between coaxial cylinders influenced by magnetic field and thermal radiation,” Appl. Math. Mech., vol. 36, no. 11, pp. 1449–1458, 2015, doi: 10.1007/s10483-015-1995-7.
  • A. Yahya, A. U. Khan, S. A. Shehzad, W. Khan, E. Zeb, and M. I. Chohan, “Thermal characteristics for the flow of Williamson hybrid nanofluid (MoS_2+ZnO) due to variable stretching: Keller-box approach,” Case Studies in Thermal Engineering, vol. 26, 2021, Art. no. 101196 doi: 10.1016/j.csite.2021.101196.
  • M. Sanches, A. Salazar, P. Almeida, V. Oliveira, J. Barros, and I. Raimundo, “Heat transfer in nanofluid spray cooling: Multi-objective optimization and computational analysis,” in Proceedings of the International Conference on Liquid Atomization and Spray Systems (ICLASS), 2021.
  • N. Saleem and S. Munawar, “Significance of Synthetic Cilia and Arrhenius Energy on Double Diffusive Stream of Radiated Hybrid Nanofluid in Microfluidic Pump under Ohmic Heating: An Entropic Analysis,” Coatings, vol. 11, no. 11, p. 1292, 2021, doi: 10.3390/coatings11111292.
  • N. Tran and T. J. Webster, “Magnetic nanoparticles: biomedical applications and challenges,” J. Mater. Chem., vol. 20, no. 40, pp. 8760–8767, 2010.
  • M. Danışmaz, “Investigation of fluid flow through the ureteral canal with a porous media approach in the ureteral stone reduction process,” Karadeniz Fen Bilimleri Dergisi, vol. 13, no. 3, pp. 1213–1226, 2023, doi: 10.31466/kfbd.1330295.
  • M. Danışmaz and M. Demirbilek, “Assessment of heat transfer capabilities of some known nanofluids under turbulent flow conditions in a five-turn spiral pipe flow,” Applied Rheology, vol. 34, no. 1, 2024, doi: 10.1515/arh-2024-0002.
  • J. Nowak, A. Sobczak-Kupiec, Z. Wzorek, Z. Kowalski, and R. Nowak, “Magnetoviscous effect in ferrofluids diluted with sheep blood: Preparation and study of hybrid fluids,” J. Magn. Magn. Mater., vol. 442, pp. 383–390, 2017, doi: 10.1016/j.jmmm.2017.07.029.
  • M. R. Habibi and M. Ghasemi, “Numerical study of magnetic nanoparticles concentration in biofluid (blood) under influence of high gradient magnetic field,” J. Magn. Magn. Mater., vol. 323, no. 1, pp. 32–38, 2011, doi: 10.1016/j.jmmm.2010.08.023.
  • M. Tekir, B. Mutlucan, and A. Kamil, “Energy, Entropy and Exergy Analyses of Hybrid Nanofluid Flow in a Trapezoidal Channel,” Mugla Journal of Science and Technology, vol. 7, pp. 106–116, 2021, doi: 10.22531/muglajsci.901966.
  • M. Tekir, E. Gedik, K. Arslan, H. Kadir Pazarlıoğlu, B. Aksu, and E. Taskesen, “Hydrothermal behavior of hybrid magnetite nanofluid flowing in a pipe under bi-directional magnetic field with different wave types,” Thermal Science and Engineering Progress, vol. 34, Art. no. 101399, Sep. 2022, doi: 10.1016/j.tsep.2022.101399.
  • M. Tekir, E. Taskesen, B. Aksu, E. Gedik, and K. Arslan, “Comparison of bi-directional multi-wave alternating magnetic field effect on ferromagnetic nanofluid flow in a circular pipe under laminar flow conditions,” Appl. Therm. Eng., vol. 179, 2020, Art. no. 115624, doi: 10.1016/j.applthermaleng.2020.115624.
  • M. Tekir, E. Taskesen, E. Gedik, K. Arslan, and B. Aksu, “Effect of constant magnetic field on 〖Fe〗_3 O_4-Cu/water hybrid nanofluid flow in a circular pipe,” Heat and Mass Transfer, vol. 58, no. 5, pp. 707–717, 2022, doi: 10.1007/s00231-021-03125-7.
  • E. Taşkesen, M. Dirik, M. Tekir, and H. K. Pazarlioğlu, “Predicting heat transfer performance of on 〖Fe〗_3 O_4-Cu/water hybrid nanofluid under constant magnetic field using ANN,” Journal of Thermal Engineering, vol. 9, 2023, doi: 10.18186/thermal.1300854.
  • E. Taşkesen, M. Tekir, H. K. Pazarlıoğlu, M. Gurdal, E. Gedik, and K. Arslan, “The effect of MHD flow on hydrothermal characteristics of ferro-nano-fluid in circular pipe,” Experimental Heat Transfer, vol. 36, pp. 617–631, 2023, doi: 10.1080/08916152.2022.2065384.
  • E. Taskesen, M. Tekır, E. Gedık, and K. Arslan, “Numerical investigation of laminar forced convection and entropy generation of on 〖Fe〗_3 O_4/water nanofluids in different cross-sectioned channel geometries,” Journal of Thermal Engineering, vol. 7, no. 7, pp. 1752–1767, 2021, doi: 10.18186/thermal.1025984.
  • M. K. A. Mohamed, S. H. M. Yasin, M. Z. Salleh, and H. T. Alkasasbe, “MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating,” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 82, no. 1, pp. 1–11, 2021, doi: 10.37934/arfmts.82.1.111.
  • E. R. El-Zahar, A. M. Rashad, W. Saad, and L. F. Seddek, “Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder,” Sci. Rep., vol. 10, p. 8699, 2020, doi: 10.1038/s41598-020-66918-6.
  • S. Jakeer, P. B. Reddy, A. M. Rashad, and H. A. Nabwey, “Impact of heated obstacle position on magneto-hybrid nanofluid flow in a lid-driven porous cavity with Cattaneo-Christov heat flux pattern,” Alexandria Engineering Journal, vol. 60, no. 1, pp. 821–835, 2021, doi: 10.1016/j.aej.2020.10.011.
  • A. Mahdy, A. M. Rashad, E. R. El-Zahar, W. Saad, and H. S. Al-Juaydi, “The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium,” Fluids, vol. 6, no. 6, p. 202, 2021, doi: 10.3390/fluids6060202.
  • S. Prasad, A. Thakur, and S. Sood, “Stagnation-Point Slip Flow of Hybrid Ferrofluid Past Exponentially Stretching Sheet in Darcy-Forchheimer Space,” Indian J. Sci. Technol., vol. 17, no. 10, pp. 881–890, 2024, doi: 10.17485/IJST/v17i10.1910.
  • B. Singh, S. Sood, A. Thakur, and S. Chandel, “Numerical analysis of mixed convection and Thomson-Troian slip effects on ternary nanofluid flow and heat transfer over a stretching sheet with porous media: Darcy-Forchheimer model,” Applied Computational Mechanics, vol. 18, no. 2, 2024, doi: 10.24132/acm.2024.894.
  • T. H. Alarabi, A. M. Rashad, and A. Mahdy, “Homogeneous–Heterogeneous Chemical Reactions of Radiation Hybrid Nanofluid Flow on a Cylinder with Joule Heating: Nanoparticles Shape Impact,” Coatings, vol. 11, no. 12, p. 1490, 2021, doi: 10.3390/coatings11121490.
  • M. V Krishna, C. S. Sravanthi, and R. S. R. Gorla, “Hall and ion slip effects on MHD rotating flow of ciliary propulsion of microscopic organism through porous media,” International Communications in Heat and Mass Transfer, vol. 112, 2020, Art. no. 104500, doi: 10.1016/j.icheatmasstransfer.2020.104500.
  • M. Kilic, M. Sahin, and A. Abdulvahitoglu, “A new approach for enhancing the effectiveness of a regenerative heat exchanger by using organic and inorganic phase change material,” J. Therm. Anal. Calorim., vol. 149, no. 22, pp. 13081–13093, 2024, doi: 10.1007/s10973-024-13599-2.
  • M. Sahin, M. Kilic, and M. A. Karadag, “Investigation of heat transfer enhancement using hemispherical turbulators in a double-pipe regenerative heat exchanger with phase change material,” J. Therm. Anal. Calorim., pp. 1–17, 2025, doi: 10.1007/s10973-025-14387-2.
  • M. Klc, M. Şahin, T. Demircan, Z. Kilinc, and A. Ullah, “Numerical investigation of cooling an industrial roller by using swirling jets,” El-Cezeri, vol. 10, no. 1, pp. 147–159, 2023, doi: 10.31202/ecjse.1175261.
  • L. A. Lund, Z. Omar, I. Khan, J. Raza, M. Bakouri, and I. Tlili, “Stability Analysis of Darcy-Forchheimer Flow of Casson Type Nanofluid Over an Exponential Sheet: Investigation of Critical Points,” Symmetry (Basel)., vol. 11, no. 3, p. 412, 2019, doi: 10.3390/sym11030412.
  • S. Mukhopadhyay, P. R. De, K. Bhattacharyya, and G. C. Layek, “Casson fluid flow over an unsteady stretching surface,” Ain Shams Engineering Journal, vol. 4, no. 4, pp. 933–938, 2013, doi: 10.1016/j.asej.2013.04.004.
  • S. Pramanik, “Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation,” Ain Shams Engineering Journal, vol. 5, no. 1, pp. 205–212, 2014, doi: 10.1016/j.asej.2013.05.003.
  • R. Ghazi et al., “Iron oxide based magnetic nanoparticles for hyperthermia, MRI and drug delivery applications: a review,” RSC Adv., vol. 15, no. 15, pp. 11587–11616, 2025, doi: 10.1039/D5RA00728C.
  • L. Shen, B. Li, and Y. Qiao, “on 〖Fe〗_3 O_4 nanoparticles in targeted drug/gene delivery systems,” Materials, vol. 11, no. 2, p. 324, 2018, doi: 10.3390/ma11020324.
  • L. S. Ganapathe, M. A. Mohamed, R. M. Yunus, and D. D. Berhanuddin, “Magnetite (〖Fe〗_3 O_4) nanoparticles in biomedical application: From synthesis to surface functionalisation,” Magnetochemistry, vol. 6, no. 4, p. 68, 2020, doi: 10.3390/magnetochemistry6040068.
  • P. Jagadeeshwar and D. Srinivasacharya, “Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition,” Mathematical Sciences, vol. 13, pp. 201–211, 2019, doi: 10.1007/s40096-019-0290-8.
  • J. H. Merkin, “Mixed convection boundary layer flow on a vertical surface in a saturated porous medium,” J. Eng. Math., vol. 14, no. 4, pp. 301–313, 1980, doi: 10.1007/BF00052913.
  • A. Asghar, T. Y. Ying, and W. M. K. A. W. Zaimi, “Two-dimensional mixed convection and radiative 〖Al〗_2 O_3-Cu/H_2 O hybrid nanofluid flow,” CFD Letters, vol. 14, no. 3, pp. 22–38, 2022, doi: 10.37934/cfdl.14.3.2238.
  • S. S. P. M. Isa, A. Khalid, A. Ishak, and I. Pop, “MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation,” Scientia Iranica, vol. 24, no. 2, pp. 637–647, 2017.
  • S. S. Giri, K. Das, and P. K. Kundu, “Inclined magnetic field effects on unsteady nanofluid flow and heat transfer in a finite thin film with non-uniform heat source/sink,” Multidiscipline Modeling in Materials and Structures, vol. 15, no. 1, pp. 265–282, 2019, doi: 10.1108/MMMS-04-2018-0065.
  • T. Hayat, A. Shafiq, A. Alsaedi, and S. Asghar, “Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity,” AIP Adv., vol. 5, no. 8, 2015, doi: 10.1063/1.4928321.
  • G. Wang, Z. Zhang, R. Wang, and Z. Zhu, “A review on heat transfer of nanofluids by applied electric field or magnetic field,” Nanomaterials, vol. 10, no. 12, p. 2386, 2020, doi: 10.3390/nano10122386.
  • A. Thakur and S. Sood, “Effect of prescribed heat sources on convective unsteady MHD flow of Williamson nanofluid through porous media: Darcy–Forchheimer model,” Int. J. Appl. Comput. Math., vol. 8, no. 2, p. 74, 2022, doi: 10.1007/s40819-022-01271-y.
  • F. Mabood, W. A. Khan, and A. M. Ismail, “MHD flow over exponential radiating stretching sheet using homotopy analysis method,” Journal of King Saud University–Engineering Sciences, vol. 29, no. 1, pp. 68–74, 2017, doi: 10.1016/j.jksues.2014.06.001.
  • A. Reynolds, Mechanics of Fluids, 2nd ed. Addison-Wesley, 1976.
  • P. T. Kapen, C. G. N. Ketchate, D. Fokwa, and G. Tchuen, “Linear stability analysis of non-Newtonian blood flow with magnetic nanoparticles: application to controlled drug delivery,” Int. J. Numer. Methods Heat Fluid Flow, vol. 32, pp. 714–739, 2022, doi: 10.1108/HFF-03-2021-0161.
  • D. Fokwa, C. G. N. Ketchate, P. T. Kapen, and G. Tchuen, “Stability analysis of non-Newtonian blood flow conveying hybrid magnetic nanoparticles as target drug delivery in presence of inclined magnetic field and thermal radiation: Application to therapy of cancer,” Inform. Med. Unlocked, vol. 27, 2021, Art. no. 100800, doi: 10.1016/j.imu.2021.100800.
  • A. Thakur and S. Sood, “Tri-hybrid nanofluid flow towards convectively heated stretching Riga plate with variable thickness,” Journal of Nanofluids, vol. 12, no. 4, pp. 1129–1140, 2023, doi: 10.1166/jon.2023.1990.
  • A. Thakur, S. Sood, and D. Sharma, “Mixed convective flow of tri-hybrid nanofluid TiO_(2-) 〖Al〗_2 O_(3-) SiO_2 past a variably thicked stretching sheet with Newtonian heating,” Journal of Nanofluids, vol. 12, no. 7, pp. 1782–1793, 2023, doi: 10.1166/jon.2023.2064.
  • L. F. Shampine and J. Kierzenka, “A BVP solver based on residual control and the MATLAB PSE,” ACM Transactions on Mathematical Software, vol. 27, no. 3, pp. 299–316, 2001.
  • L. F. Shampine, “Singular boundary value problems for ODEs,” Appl. Math. Comput., vol. 138, no. 1, pp. 99–112, 2003.
  • L. F. Shampine, J. Kierzenka, and M. W. Reichelt, “Solving boundary value problems in MATLAB with bvp4c,” 2000.
  • L. F. Shampine, “Solving a hard BVP with bvp4c,” 2004.
  • L. F. Shampine and J. Kierzenka, “A BVP solver that controls residual and error, and some MATLAB experiments,” Journal of Numerical Analysis, Industrial and Applied Mathematics, vol. 3, no. 1–2, pp. 27–41, 2008.
  • N. Hale and D. R. Moore, “A sixth-order extension to the MATLAB package bvp4c,” Oxford Research Archive, 2008.
  • I. Waini, A. Ishak, and I. Pop, “Mixed convection flow over an exponentially stretching/shrinking vertical surface in a hybrid nanofluid,” Alexandria Engineering Journal, vol. 59, no. 3, pp. 1881–1891, 2020, doi: 10.1016/j.aej.2020.05.030.
  • A. Thakur and S. Sood, “Comparative investigation of the mixed convective stagnated flow of TiO_2-CuO/ water-EG hybrid nanofluids past an exponentially stretching sheet,” ZAMM–Journal of Applied Mathematics and Mechanics, vol. 102, no. 12, p. e202100419, 2022, doi: 10.1002/zamm.202100419.

MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles

Year 2026, Volume: 29 Issue: 1 , 50 - 60 , 08.03.2026
https://doi.org/10.5541/ijot.1759311
https://izlik.org/JA99YX49BN

Abstract

This study presents a comprehensive investigation of blood flow embedded with magnetic nanoparticles (〖Fe〗_2 O_3 and Fe_3 O_4) over an exponentially stretching surface, incorporating the effects of a tilted magnetic field, Joule heating, and thermal radiation. The exponential stretching model captures nonlinear vascular wall deformation and stent expansion, while the tilted magnetic field offers a more realistic representation of biomedical device orientations. A mathematical model governing the flow is formulated and transformed into a system of ordinary differential equations using suitable similarity transformations, which are solved numerically using the MATLAB bvp4c solver. Numerical simulations elucidate the influence of magnetic-field inclination, thermal radiation, and Joule heating on velocity and temperature distributions. Results reveal that thermal convection and radiation enhance flow velocity, whereas increased magnetic field strength and local porosity induce significant flow resistance due to enhanced drag forces. The study highlights the critical role of optimizing nanoparticle properties and external magnetic stimuli to regulate thermal behavior while minimizing hydrodynamic resistance. These findings contribute to improved heat transfer performance in microfluidic systems, advanced thermal management in electronic devices, and optimized biomedical applications such as magnetic hyperthermia and targeted drug delivery, where precise control of blood-flow dynamics is essential.

References

  • H. E. A. Baieth, “Physical parameters of blood as a non-Newtonian fluid,” International Journal of Biomedical Science, vol. 4, no. 4, pp. 323–329, 2008.
  • M. Hatami, R. Ellahi, D. D. Ganji, and T. Hayat, “Investigation of third-grade non-Newtonian blood flow between coaxial cylinders influenced by magnetic field and thermal radiation,” Appl. Math. Mech., vol. 36, no. 11, pp. 1449–1458, 2015, doi: 10.1007/s10483-015-1995-7.
  • A. Yahya, A. U. Khan, S. A. Shehzad, W. Khan, E. Zeb, and M. I. Chohan, “Thermal characteristics for the flow of Williamson hybrid nanofluid (MoS_2+ZnO) due to variable stretching: Keller-box approach,” Case Studies in Thermal Engineering, vol. 26, 2021, Art. no. 101196 doi: 10.1016/j.csite.2021.101196.
  • M. Sanches, A. Salazar, P. Almeida, V. Oliveira, J. Barros, and I. Raimundo, “Heat transfer in nanofluid spray cooling: Multi-objective optimization and computational analysis,” in Proceedings of the International Conference on Liquid Atomization and Spray Systems (ICLASS), 2021.
  • N. Saleem and S. Munawar, “Significance of Synthetic Cilia and Arrhenius Energy on Double Diffusive Stream of Radiated Hybrid Nanofluid in Microfluidic Pump under Ohmic Heating: An Entropic Analysis,” Coatings, vol. 11, no. 11, p. 1292, 2021, doi: 10.3390/coatings11111292.
  • N. Tran and T. J. Webster, “Magnetic nanoparticles: biomedical applications and challenges,” J. Mater. Chem., vol. 20, no. 40, pp. 8760–8767, 2010.
  • M. Danışmaz, “Investigation of fluid flow through the ureteral canal with a porous media approach in the ureteral stone reduction process,” Karadeniz Fen Bilimleri Dergisi, vol. 13, no. 3, pp. 1213–1226, 2023, doi: 10.31466/kfbd.1330295.
  • M. Danışmaz and M. Demirbilek, “Assessment of heat transfer capabilities of some known nanofluids under turbulent flow conditions in a five-turn spiral pipe flow,” Applied Rheology, vol. 34, no. 1, 2024, doi: 10.1515/arh-2024-0002.
  • J. Nowak, A. Sobczak-Kupiec, Z. Wzorek, Z. Kowalski, and R. Nowak, “Magnetoviscous effect in ferrofluids diluted with sheep blood: Preparation and study of hybrid fluids,” J. Magn. Magn. Mater., vol. 442, pp. 383–390, 2017, doi: 10.1016/j.jmmm.2017.07.029.
  • M. R. Habibi and M. Ghasemi, “Numerical study of magnetic nanoparticles concentration in biofluid (blood) under influence of high gradient magnetic field,” J. Magn. Magn. Mater., vol. 323, no. 1, pp. 32–38, 2011, doi: 10.1016/j.jmmm.2010.08.023.
  • M. Tekir, B. Mutlucan, and A. Kamil, “Energy, Entropy and Exergy Analyses of Hybrid Nanofluid Flow in a Trapezoidal Channel,” Mugla Journal of Science and Technology, vol. 7, pp. 106–116, 2021, doi: 10.22531/muglajsci.901966.
  • M. Tekir, E. Gedik, K. Arslan, H. Kadir Pazarlıoğlu, B. Aksu, and E. Taskesen, “Hydrothermal behavior of hybrid magnetite nanofluid flowing in a pipe under bi-directional magnetic field with different wave types,” Thermal Science and Engineering Progress, vol. 34, Art. no. 101399, Sep. 2022, doi: 10.1016/j.tsep.2022.101399.
  • M. Tekir, E. Taskesen, B. Aksu, E. Gedik, and K. Arslan, “Comparison of bi-directional multi-wave alternating magnetic field effect on ferromagnetic nanofluid flow in a circular pipe under laminar flow conditions,” Appl. Therm. Eng., vol. 179, 2020, Art. no. 115624, doi: 10.1016/j.applthermaleng.2020.115624.
  • M. Tekir, E. Taskesen, E. Gedik, K. Arslan, and B. Aksu, “Effect of constant magnetic field on 〖Fe〗_3 O_4-Cu/water hybrid nanofluid flow in a circular pipe,” Heat and Mass Transfer, vol. 58, no. 5, pp. 707–717, 2022, doi: 10.1007/s00231-021-03125-7.
  • E. Taşkesen, M. Dirik, M. Tekir, and H. K. Pazarlioğlu, “Predicting heat transfer performance of on 〖Fe〗_3 O_4-Cu/water hybrid nanofluid under constant magnetic field using ANN,” Journal of Thermal Engineering, vol. 9, 2023, doi: 10.18186/thermal.1300854.
  • E. Taşkesen, M. Tekir, H. K. Pazarlıoğlu, M. Gurdal, E. Gedik, and K. Arslan, “The effect of MHD flow on hydrothermal characteristics of ferro-nano-fluid in circular pipe,” Experimental Heat Transfer, vol. 36, pp. 617–631, 2023, doi: 10.1080/08916152.2022.2065384.
  • E. Taskesen, M. Tekır, E. Gedık, and K. Arslan, “Numerical investigation of laminar forced convection and entropy generation of on 〖Fe〗_3 O_4/water nanofluids in different cross-sectioned channel geometries,” Journal of Thermal Engineering, vol. 7, no. 7, pp. 1752–1767, 2021, doi: 10.18186/thermal.1025984.
  • M. K. A. Mohamed, S. H. M. Yasin, M. Z. Salleh, and H. T. Alkasasbe, “MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating,” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, vol. 82, no. 1, pp. 1–11, 2021, doi: 10.37934/arfmts.82.1.111.
  • E. R. El-Zahar, A. M. Rashad, W. Saad, and L. F. Seddek, “Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder,” Sci. Rep., vol. 10, p. 8699, 2020, doi: 10.1038/s41598-020-66918-6.
  • S. Jakeer, P. B. Reddy, A. M. Rashad, and H. A. Nabwey, “Impact of heated obstacle position on magneto-hybrid nanofluid flow in a lid-driven porous cavity with Cattaneo-Christov heat flux pattern,” Alexandria Engineering Journal, vol. 60, no. 1, pp. 821–835, 2021, doi: 10.1016/j.aej.2020.10.011.
  • A. Mahdy, A. M. Rashad, E. R. El-Zahar, W. Saad, and H. S. Al-Juaydi, “The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid over a Vertical Plate Saturated in a Porous Medium,” Fluids, vol. 6, no. 6, p. 202, 2021, doi: 10.3390/fluids6060202.
  • S. Prasad, A. Thakur, and S. Sood, “Stagnation-Point Slip Flow of Hybrid Ferrofluid Past Exponentially Stretching Sheet in Darcy-Forchheimer Space,” Indian J. Sci. Technol., vol. 17, no. 10, pp. 881–890, 2024, doi: 10.17485/IJST/v17i10.1910.
  • B. Singh, S. Sood, A. Thakur, and S. Chandel, “Numerical analysis of mixed convection and Thomson-Troian slip effects on ternary nanofluid flow and heat transfer over a stretching sheet with porous media: Darcy-Forchheimer model,” Applied Computational Mechanics, vol. 18, no. 2, 2024, doi: 10.24132/acm.2024.894.
  • T. H. Alarabi, A. M. Rashad, and A. Mahdy, “Homogeneous–Heterogeneous Chemical Reactions of Radiation Hybrid Nanofluid Flow on a Cylinder with Joule Heating: Nanoparticles Shape Impact,” Coatings, vol. 11, no. 12, p. 1490, 2021, doi: 10.3390/coatings11121490.
  • M. V Krishna, C. S. Sravanthi, and R. S. R. Gorla, “Hall and ion slip effects on MHD rotating flow of ciliary propulsion of microscopic organism through porous media,” International Communications in Heat and Mass Transfer, vol. 112, 2020, Art. no. 104500, doi: 10.1016/j.icheatmasstransfer.2020.104500.
  • M. Kilic, M. Sahin, and A. Abdulvahitoglu, “A new approach for enhancing the effectiveness of a regenerative heat exchanger by using organic and inorganic phase change material,” J. Therm. Anal. Calorim., vol. 149, no. 22, pp. 13081–13093, 2024, doi: 10.1007/s10973-024-13599-2.
  • M. Sahin, M. Kilic, and M. A. Karadag, “Investigation of heat transfer enhancement using hemispherical turbulators in a double-pipe regenerative heat exchanger with phase change material,” J. Therm. Anal. Calorim., pp. 1–17, 2025, doi: 10.1007/s10973-025-14387-2.
  • M. Klc, M. Şahin, T. Demircan, Z. Kilinc, and A. Ullah, “Numerical investigation of cooling an industrial roller by using swirling jets,” El-Cezeri, vol. 10, no. 1, pp. 147–159, 2023, doi: 10.31202/ecjse.1175261.
  • L. A. Lund, Z. Omar, I. Khan, J. Raza, M. Bakouri, and I. Tlili, “Stability Analysis of Darcy-Forchheimer Flow of Casson Type Nanofluid Over an Exponential Sheet: Investigation of Critical Points,” Symmetry (Basel)., vol. 11, no. 3, p. 412, 2019, doi: 10.3390/sym11030412.
  • S. Mukhopadhyay, P. R. De, K. Bhattacharyya, and G. C. Layek, “Casson fluid flow over an unsteady stretching surface,” Ain Shams Engineering Journal, vol. 4, no. 4, pp. 933–938, 2013, doi: 10.1016/j.asej.2013.04.004.
  • S. Pramanik, “Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation,” Ain Shams Engineering Journal, vol. 5, no. 1, pp. 205–212, 2014, doi: 10.1016/j.asej.2013.05.003.
  • R. Ghazi et al., “Iron oxide based magnetic nanoparticles for hyperthermia, MRI and drug delivery applications: a review,” RSC Adv., vol. 15, no. 15, pp. 11587–11616, 2025, doi: 10.1039/D5RA00728C.
  • L. Shen, B. Li, and Y. Qiao, “on 〖Fe〗_3 O_4 nanoparticles in targeted drug/gene delivery systems,” Materials, vol. 11, no. 2, p. 324, 2018, doi: 10.3390/ma11020324.
  • L. S. Ganapathe, M. A. Mohamed, R. M. Yunus, and D. D. Berhanuddin, “Magnetite (〖Fe〗_3 O_4) nanoparticles in biomedical application: From synthesis to surface functionalisation,” Magnetochemistry, vol. 6, no. 4, p. 68, 2020, doi: 10.3390/magnetochemistry6040068.
  • P. Jagadeeshwar and D. Srinivasacharya, “Effect of Joule heating on the flow over an exponentially stretching sheet with convective thermal condition,” Mathematical Sciences, vol. 13, pp. 201–211, 2019, doi: 10.1007/s40096-019-0290-8.
  • J. H. Merkin, “Mixed convection boundary layer flow on a vertical surface in a saturated porous medium,” J. Eng. Math., vol. 14, no. 4, pp. 301–313, 1980, doi: 10.1007/BF00052913.
  • A. Asghar, T. Y. Ying, and W. M. K. A. W. Zaimi, “Two-dimensional mixed convection and radiative 〖Al〗_2 O_3-Cu/H_2 O hybrid nanofluid flow,” CFD Letters, vol. 14, no. 3, pp. 22–38, 2022, doi: 10.37934/cfdl.14.3.2238.
  • S. S. P. M. Isa, A. Khalid, A. Ishak, and I. Pop, “MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation,” Scientia Iranica, vol. 24, no. 2, pp. 637–647, 2017.
  • S. S. Giri, K. Das, and P. K. Kundu, “Inclined magnetic field effects on unsteady nanofluid flow and heat transfer in a finite thin film with non-uniform heat source/sink,” Multidiscipline Modeling in Materials and Structures, vol. 15, no. 1, pp. 265–282, 2019, doi: 10.1108/MMMS-04-2018-0065.
  • T. Hayat, A. Shafiq, A. Alsaedi, and S. Asghar, “Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity,” AIP Adv., vol. 5, no. 8, 2015, doi: 10.1063/1.4928321.
  • G. Wang, Z. Zhang, R. Wang, and Z. Zhu, “A review on heat transfer of nanofluids by applied electric field or magnetic field,” Nanomaterials, vol. 10, no. 12, p. 2386, 2020, doi: 10.3390/nano10122386.
  • A. Thakur and S. Sood, “Effect of prescribed heat sources on convective unsteady MHD flow of Williamson nanofluid through porous media: Darcy–Forchheimer model,” Int. J. Appl. Comput. Math., vol. 8, no. 2, p. 74, 2022, doi: 10.1007/s40819-022-01271-y.
  • F. Mabood, W. A. Khan, and A. M. Ismail, “MHD flow over exponential radiating stretching sheet using homotopy analysis method,” Journal of King Saud University–Engineering Sciences, vol. 29, no. 1, pp. 68–74, 2017, doi: 10.1016/j.jksues.2014.06.001.
  • A. Reynolds, Mechanics of Fluids, 2nd ed. Addison-Wesley, 1976.
  • P. T. Kapen, C. G. N. Ketchate, D. Fokwa, and G. Tchuen, “Linear stability analysis of non-Newtonian blood flow with magnetic nanoparticles: application to controlled drug delivery,” Int. J. Numer. Methods Heat Fluid Flow, vol. 32, pp. 714–739, 2022, doi: 10.1108/HFF-03-2021-0161.
  • D. Fokwa, C. G. N. Ketchate, P. T. Kapen, and G. Tchuen, “Stability analysis of non-Newtonian blood flow conveying hybrid magnetic nanoparticles as target drug delivery in presence of inclined magnetic field and thermal radiation: Application to therapy of cancer,” Inform. Med. Unlocked, vol. 27, 2021, Art. no. 100800, doi: 10.1016/j.imu.2021.100800.
  • A. Thakur and S. Sood, “Tri-hybrid nanofluid flow towards convectively heated stretching Riga plate with variable thickness,” Journal of Nanofluids, vol. 12, no. 4, pp. 1129–1140, 2023, doi: 10.1166/jon.2023.1990.
  • A. Thakur, S. Sood, and D. Sharma, “Mixed convective flow of tri-hybrid nanofluid TiO_(2-) 〖Al〗_2 O_(3-) SiO_2 past a variably thicked stretching sheet with Newtonian heating,” Journal of Nanofluids, vol. 12, no. 7, pp. 1782–1793, 2023, doi: 10.1166/jon.2023.2064.
  • L. F. Shampine and J. Kierzenka, “A BVP solver based on residual control and the MATLAB PSE,” ACM Transactions on Mathematical Software, vol. 27, no. 3, pp. 299–316, 2001.
  • L. F. Shampine, “Singular boundary value problems for ODEs,” Appl. Math. Comput., vol. 138, no. 1, pp. 99–112, 2003.
  • L. F. Shampine, J. Kierzenka, and M. W. Reichelt, “Solving boundary value problems in MATLAB with bvp4c,” 2000.
  • L. F. Shampine, “Solving a hard BVP with bvp4c,” 2004.
  • L. F. Shampine and J. Kierzenka, “A BVP solver that controls residual and error, and some MATLAB experiments,” Journal of Numerical Analysis, Industrial and Applied Mathematics, vol. 3, no. 1–2, pp. 27–41, 2008.
  • N. Hale and D. R. Moore, “A sixth-order extension to the MATLAB package bvp4c,” Oxford Research Archive, 2008.
  • I. Waini, A. Ishak, and I. Pop, “Mixed convection flow over an exponentially stretching/shrinking vertical surface in a hybrid nanofluid,” Alexandria Engineering Journal, vol. 59, no. 3, pp. 1881–1891, 2020, doi: 10.1016/j.aej.2020.05.030.
  • A. Thakur and S. Sood, “Comparative investigation of the mixed convective stagnated flow of TiO_2-CuO/ water-EG hybrid nanofluids past an exponentially stretching sheet,” ZAMM–Journal of Applied Mathematics and Mechanics, vol. 102, no. 12, p. e202100419, 2022, doi: 10.1002/zamm.202100419.
There are 56 citations in total.

Details

Primary Language English
Subjects Energy Systems Engineering (Other)
Journal Section Research Article
Authors

Sushil Prasad 0009-0009-0176-0873

Archie Thakur 0000-0002-7002-0651

Shilpa Sood 0000-0002-0669-7289

Submission Date August 6, 2025
Acceptance Date January 17, 2026
Publication Date March 8, 2026
DOI https://doi.org/10.5541/ijot.1759311
IZ https://izlik.org/JA99YX49BN
Published in Issue Year 2026 Volume: 29 Issue: 1

Cite

APA Prasad, S., Thakur, A., & Sood, S. (2026). MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles. International Journal of Thermodynamics, 29(1), 50-60. https://doi.org/10.5541/ijot.1759311
AMA 1.Prasad S, Thakur A, Sood S. MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles. International Journal of Thermodynamics. 2026;29(1):50-60. doi:10.5541/ijot.1759311
Chicago Prasad, Sushil, Archie Thakur, and Shilpa Sood. 2026. “MATLAB Simulation of Blood-Flow Behavior With Hybrid Magnetic Nanoparticles”. International Journal of Thermodynamics 29 (1): 50-60. https://doi.org/10.5541/ijot.1759311.
EndNote Prasad S, Thakur A, Sood S (March 1, 2026) MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles. International Journal of Thermodynamics 29 1 50–60.
IEEE [1]S. Prasad, A. Thakur, and S. Sood, “MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles”, International Journal of Thermodynamics, vol. 29, no. 1, pp. 50–60, Mar. 2026, doi: 10.5541/ijot.1759311.
ISNAD Prasad, Sushil - Thakur, Archie - Sood, Shilpa. “MATLAB Simulation of Blood-Flow Behavior With Hybrid Magnetic Nanoparticles”. International Journal of Thermodynamics 29/1 (March 1, 2026): 50-60. https://doi.org/10.5541/ijot.1759311.
JAMA 1.Prasad S, Thakur A, Sood S. MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles. International Journal of Thermodynamics. 2026;29:50–60.
MLA Prasad, Sushil, et al. “MATLAB Simulation of Blood-Flow Behavior With Hybrid Magnetic Nanoparticles”. International Journal of Thermodynamics, vol. 29, no. 1, Mar. 2026, pp. 50-60, doi:10.5541/ijot.1759311.
Vancouver 1.Sushil Prasad, Archie Thakur, Shilpa Sood. MATLAB Simulation of Blood-flow Behavior with Hybrid Magnetic Nanoparticles. International Journal of Thermodynamics. 2026 Mar. 1;29(1):50-6. doi:10.5541/ijot.1759311