Skip to main content
Log in

Blood-Based CNT Nanofluid Flow Over Rotating Discs for the Impact of Drag Using Darcy–Forchheimer Model Embedding in Porous Matrix

  • Original Paper
  • Published:
International Journal of Applied and Computational Mathematics Aims and scope Submit manuscript

Abstract

With regards to the current scenario in the biomedical research, the blood flow phenomena are vital due to its vast applications. Further, instead of using traditional fluid the implementation of nanoparticles enhances the flow properties. Therefore, the present article aims to explore how the inclusion of Darcy–Forchheimer inertial drag influences the flow characteristics of electrically conducting blood-based nanofluid, coupled with single-wall carbon nanotubes, between rotating parallel discs set within a permeable medium. The impact of dissipative heat in conjunction with the particle concentration is useful for various applications like drug delivery processes, peristaltic pumping, etc. The flow phenomena governed by the set of equations are distorted into ordinary by the implementation of a suitable similarity rule and then these are handled numerically with the help of Runge–Kutta fourth-order combined with shooting technique. Along with the flow properties, the behaviour of the standard factors involved in the flow properties is discussed briefly. Further, the validation of the result with the earlier investigation is obtained and shows a good agreement. However, the important outcomes of the current investigation are laid down as; the single wall carbon nanotube solid volume fraction combined with the stretching parameter augments the fluid velocity and the resistivity due to the interaction of the magnetic field overshoots the shear rate near the surface significantly.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Data Availability

No datasets were generated or analysed during the current study.

References

  1. Shahzad, A., et al.: Brownian motion and thermophoretic diffusion impact on Darcy–Forchheimer flow of bioconvective micropolar nanofluid between double disks with Cattaneo–Christov heat flux. Alex. Eng. J. 62, 1–15 (2023). https://doi.org/10.1016/j.aej.2022.07.023

    Article  Google Scholar 

  2. Seyyedi, S.M., et al.: Analysis of magneto-natural-convection flow in a semi-annulus enclosure filled with a micropolar-nanofluid; a computational framework using CVFEM and FVM. J. Magn. Magn. Mater. 568, 170407 (2023). https://doi.org/10.1016/j.jmmm.2023.170407

    Article  Google Scholar 

  3. Jalili, P., et al.: A novel analytical approach to micro-polar nanofluid thermal analysis in the presence of thermophoresis, Brownian motion and Hall currents. Soft. Comput. 27(2), 677–689 (2023). https://doi.org/10.1007/s00500-022-07643-2

    Article  Google Scholar 

  4. Usafzai, W.K., et al.: Hiemenz flow for a micropolar nanofluid with bidirectional flexible surface and heat transfer. Therm. Sci. Eng. Prog. (2023). https://doi.org/10.1016/j.tsep.2023.102119

    Article  Google Scholar 

  5. Patil, P.M., et al.: Magnetized bioconvective micropolar nanofluid flow over a wedge in the presence of oxytactic microorganisms. Case Stud. Therm. Eng. (2023). https://doi.org/10.1016/j.csite.2023.103284

    Article  Google Scholar 

  6. Guedri, K., et al.: Mathematical analysis of nonlinear thermal radiation and nanoparticle aggregation on unsteady MHD flow of micropolar nanofluid over shrinking sheet. Heliyon 9, e14248 (2023). https://doi.org/10.1016/j.heliyon

    Article  Google Scholar 

  7. Abbas, N., et al.: Thermodynamic properties of Second-grade micropolar nanofluid flow past an exponential curved Riga stretching surface with Cattaneo–Christov double diffusion. Alex. Eng. J. 81, 101–117 (2023). https://doi.org/10.1016/j.aej.2023.09.020

    Article  Google Scholar 

  8. Shiva Reddy, K.S., et al.: Dynamics of optimal harvesting in an Ammensal-Adversarial interaction. Alex. Eng. J. 61(12), 12123–12128 (2022). https://doi.org/10.1016/j.aej.2022.06.019

    Article  Google Scholar 

  9. Reddy, N.N., et al.: Multiple slip effects on steady MHD flow past a non-isothermal stretching surface in presence of Soret, Dufour with suction/injection. Int. Commun. Heat Mass Transf. 134, 106024 (2022). https://doi.org/10.1016/j.icheatmasstransfer.2022.106024

    Article  Google Scholar 

  10. Bejawada, S.G., et al.: 2D mixed convection non-Darcy model with radiation effect in a nanofluid over an inclined wavy surface. Alex. Eng. J. 61(12), 9965–9976 (2022). https://doi.org/10.1016/j.aej.2022.03.030

    Article  Google Scholar 

  11. Bilal, M., et al.: Magneto-micropolar nanofluid flow through the convective permeable channel using Koo–Kleinstreuer–Li model. J. Magn. Magn. Mater. 565, 170288 (2023). https://doi.org/10.1016/j.jmmm.2022.170288

    Article  Google Scholar 

  12. Kumar, N.N., et al.: Irreversibility analysis of an unsteady micropolar CNT-blood nanofluid flow through a squeezing channel with activation energy—application in drug delivery. Comput. Methods Programs Biomed. 226, 107156 (2022). https://doi.org/10.1016/j.cmpb.2022.107156

    Article  Google Scholar 

  13. Mabood, F., et al.: Characteristics of thermophoresis and Brownian motion on radiative reactive micropolar fluid flow towards continuously moving flat plate: HAM solution. Math. Comput. Simul 191, 187–202 (2022). https://doi.org/10.1016/j.matcom.2021.08.004

    Article  MathSciNet  Google Scholar 

  14. Sharma, R.P., Mishra, S.R.: A numerical simulation for the control of radiative heat energy and thermophoretic effects on MHD micropolar fluid with heat source. J. Ocean Eng. Sci. 7(1), 92–98 (2022). https://doi.org/10.1016/j.joes.2021.07.003

    Article  Google Scholar 

  15. Mishra, S.R., et al.: Free convective micropolar fluid flow and heat transfer over a shrinking sheet with heat source. Case Stud. Therm. Eng. 11, 113–119 (2018). https://doi.org/10.1016/j.csite.2018.01.005

    Article  MathSciNet  Google Scholar 

  16. Akinshilo, A.T.: Flow and heat transfer of nanofluid with injection through an expanding or contracting porous channel under magnetic force field. Eng. Sci. Technol. An. Int. J. 21(3), 486–494 (2018). https://doi.org/10.1016/j.jestch.2018.03.014

    Article  Google Scholar 

  17. Srinivas-Reddy, C., et al.: Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method. Appl. Math. Mech. Engl. Ed. 42(10), 1525–1542 (2021). https://doi.org/10.1007/s10483-021-2773-8

    Article  MathSciNet  Google Scholar 

  18. Mishra, S.R., et al.: Effect of heat source and double stratification on MHD free convection in a micropolar fluid. Alex. Eng. J. 54(3), 681–689 (2015). https://doi.org/10.1016/j.aej.2015.04.010

    Article  Google Scholar 

  19. Alkasasbeh, H.T., et al.: Computational modelling of hybrid micropolar nanofluid flow over a solid sphere. J. Magn. Magn. Mater. (2023). https://doi.org/10.1016/j.jmmm.2023.170444

    Article  Google Scholar 

  20. Bhatti, M.M., et al.: Electro-magnetohydrodynamics hybrid nanofluid flow with gold and magnesium oxide nanoparticles through vertical parallel plates. J. Magn. Magn. Mater. (2022). https://doi.org/10.1016/j.jmmm.2022.170136

    Article  Google Scholar 

  21. Nasir, S., Sirisubtawee, S., Juntharee, P., Berrouk, A.S., Mukhtar, S., Gul, T.: Heat transport study of ternary hybrid nanofluid flow under magnetic dipole together with nonlinear thermal radiation. Appl. Nanosci. 12(9), 2777–2788 (2022)

    Article  Google Scholar 

  22. Nasir, S., Berrouk, A.S.: Comparative study of computational frameworks for magnetite and carbon nanotube-based nanofluids in enclosure. J. Therm. Anal. Calorim. 149(5), 1–21 (2024)

    Article  Google Scholar 

  23. Nasir, S., Berrouk, A., Khan, Z.: Efficiency assessment of thermal radiation utilizing flow of advanced nanocomposites on riga plate. Appl. Therm. Eng. 242, 122531 (2024)

    Article  Google Scholar 

  24. Nasir, S., Berrouk, A.S.: Numerical and intelligent neuro-computational modelling with Fourier’s energy and Fick’s mass flux theory of 3D fluid flow through a stretchable surface. Eng. Appl. Comput. Fluid Mech. 17(1), 2270675 (2023)

    Google Scholar 

  25. Nasir, S., Berrouk, A.S., Gul, T., Ali, A.: Develop the artificial neural network approach to predict thermal transport analysis of nanofluid inside a porous enclosure. Sci. Rep. 13(1), 21039 (2023)

    Article  Google Scholar 

  26. Gul, T., Nasir, S., Berrouk, A.S., Raizah, Z., Alghamdi, W., Ali, I., Bariq, A.: Simulation of the water-based hybrid nanofluids flow through a porous cavity for the applications of the heat transfer. Sci. Rep. 13(1), 7009 (2023)

    Article  Google Scholar 

  27. Alnahdi, A.S., Nasir, S., Gul, T.: Couple stress ternary hybrid nanofluid flow in a contraction channel by means of drug delivery function. Math. Comput. Simul 210, 103–119 (2023)

    Article  MathSciNet  Google Scholar 

  28. Nasir, S., Islam, S., Gul, T., Shah, Z., Khan, M.A., Khan, W., Khan, A.Z., Khan, S.: Three-dimensional rotating flow of MHD single-wall carbon nanotubes over a stretching sheet in presence of thermal radiation. Appl. Nanosci. 8, 1361–1378 (2018)

    Article  Google Scholar 

  29. Nasir, S., Shah, Z., Islam, S., Bonyah, E., Gul, T.: Darcy Forchheimer nanofluid thin film flow of SWCNTs and heat transfer analysis over an unsteady stretching sheet. AIP Adv. 9(1), 015223 (2019)

    Article  Google Scholar 

  30. Saeed, A., Kumam, P., Nasir, S., Gul, T., Kumam, W.: Non-linear convective flow of the thin film nanofluid over an inclined stretching surface. Sci. Rep. 11(1), 18410 (2021)

    Article  Google Scholar 

  31. Basit, M.A., et al.: Comprehensive investigations of (Au-Ag/Blood and Cu-Fe3O4/blood) hybrid nanofluid over two rotating disks: numerical and computational approach. Alex. Eng. J. 72, 19–36 (2023). https://doi.org/10.1016/j.aej.2023.03.077

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Contributions

All the authors have equally contributed to complete the manuscript, i.e. RB has formulated the problem, SP has verified the problem statement, and completed the introduction section, PKP has computed and simulated the numerical results and finally, SRM checked the similarity with grammar with results and discussion section and checked the overall.

Corresponding author

Correspondence to S. R. Mishra.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baithalu, R., Panda, S., Pattnaik, P.K. et al. Blood-Based CNT Nanofluid Flow Over Rotating Discs for the Impact of Drag Using Darcy–Forchheimer Model Embedding in Porous Matrix. Int. J. Appl. Comput. Math 10, 96 (2024). https://doi.org/10.1007/s40819-024-01733-5

Download citation

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40819-024-01733-5

Keywords

Navigation