IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v540y2020ics037843711931773x.html
   My bibliography  Save this article

Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation

Author

Listed:
  • Maiti, S.
  • Shaw, S.
  • Shit, G.C.

Abstract

In this article we propose a fractional order time derivative model on blood flow, heat and mass transfer through an arterial segment having interaction with magnetic field in the presence of thermal radiation and body acceleration. The study focuses on the unidirectional blood flow through porous medium vessel by treating non-Newtonian Casson fluid model. The mathematical model of Caputo–Fabrizio fractional derivative has been used and the problem is solved by employing the Laplace transform as well as finite Hankel transform method. The analytical expressions for blood flow velocity, temperature and concentration are obtained. The effects of order of the Caputo–Fabrizio fractional derivative, external magnetic field, Reynolds number, Darcy number, thermal radiation, Peclet number, Schmidt number are presented graphically. The study shows that the fractional order parameter has reducing effect on blood velocity, temperature and concentration as well as on the skin-friction coefficient and Nusselt number. Moreover, Hartmann number, thermal radiation and Soret effect play an important role in controlling wall shear stress, Nusselt number and Sherwood number respectively. More precisely these results bear the significant applications in biomedical Engineering and pathology.

Suggested Citation

  • Maiti, S. & Shaw, S. & Shit, G.C., 2020. "Caputo–Fabrizio fractional order model on MHD blood flow with heat and mass transfer through a porous vessel in the presence of thermal radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
  • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s037843711931773x
    DOI: 10.1016/j.physa.2019.123149
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711931773X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2019.123149?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Abdulhameed, M. & Vieru, D. & Roslan, R., 2017. "Modeling electro-magneto-hydrodynamic thermo-fluidic transport of biofluids with new trend of fractional derivative without singular kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 233-252.
    2. J. Venkatesan & D. S. Sankar & K. Hemalatha & Yazariah Yatim, 2013. "Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, September.
    3. Ghasemi, Seiyed E. & Hatami, M. & Hatami, J. & Sahebi, S.A.R. & Ganji, D.D., 2016. "An efficient approach to study the pulsatile blood flow in femoral and coronary arteries by Differential Quadrature Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 406-414.
    4. He, Shaobo & Fataf, N.A.A. & Banerjee, Santo & Sun, Kehui, 2019. "Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    5. Morales-Delgado, V.F. & Gómez-Aguilar, J.F. & Saad, Khaled M. & Khan, Muhammad Altaf & Agarwal, P., 2019. "Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: A fractional calculus approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 48-65.
    6. T. Chinyoka & O. D. Makinde, 2014. "Computational Dynamics of Arterial Blood Flow in the Presence of Magnetic Field and Thermal Radiation Therapy," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Yong-Min & Sedeh, Shahab Naghdi & Toghraie, Davood & Alizadeh, As’ad, 2021. "Computational hemodynamics and thermal analysis of laminar blood flow for different types of hypertension," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 330-341.
    2. Ali, Hegagi Mohamed & Ameen, Ismail Gad & Gaber, Yasmeen Ahmed, 2024. "The effect of curative and preventive optimal control measures on a fractional order plant disease model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 496-515.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. El-Dessoky Ahmed, M.M. & Altaf Khan, Muhammad, 2020. "Modeling and analysis of the polluted lakes system with various fractional approaches," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Alderremy, A.A. & Saad, Khaled M. & Agarwal, Praveen & Aly, Shaban & Jain, Shilpi, 2020. "Certain new models of the multi space-fractional Gardner equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Saad, Khaled M. & Gómez-Aguilar, J.F., 2018. "Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 703-716.
    4. Das, Parthasakha & Das, Pritha & Mukherjee, Sayan, 2020. "Stochastic dynamics of Michaelis–Menten kinetics based tumor-immune interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    5. Javed, Maryiam & Naz, R., 2020. "Peristaltic flow of a realistic fluid in a compliant channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    6. Yusuf, Abdullahi & Inc, Mustafa & Isa Aliyu, Aliyu & Baleanu, Dumitru, 2018. "Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 220-226.
    7. Roy, Ashis Kumar & Bég, O. Anwar, 2021. "Asymptotic study of unsteady mass transfer through a rigid artery with multiple irregular stenoses," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    8. Wei, Q. & Yang, S. & Zhou, H.W. & Zhang, S.Q. & Li, X.N. & Hou, W., 2021. "Fractional diffusion models for radionuclide anomalous transport in geological repository systems," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    9. Saad, Khaled M. & Gómez-Aguilar, J.F. & Almadiy, Abdulrhman A., 2020. "A fractional numerical study on a chronic hepatitis C virus infection model with immune response," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    10. Inc, Mustafa & Yusuf, Abdullahi & Aliyu, Aliyu Isa & Baleanu, Dumitru, 2018. "Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 520-531.
    11. Jong, KumSong & Choi, HuiChol & Kim, MunChol & Kim, KwangHyok & Jo, SinHyok & Ri, Ok, 2021. "On the solvability and approximate solution of a one-dimensional singular problem for a p-Laplacian fractional differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    12. Ponalagusamy, R. & Manchi, Ramakrishna, 2020. "A study on two-layered (K.L-Newtonian) model of blood flow in an artery with six types of mild stenoses," Applied Mathematics and Computation, Elsevier, vol. 367(C).
    13. Das, Parthasakha & Mukherjee, Sayan & Das, Pritha, 2019. "An investigation on Michaelis - Menten kinetics based complex dynamics of tumor - immune interaction," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 297-305.
    14. Abdulhameed, M. & Muhammad, M.M. & Gital, A.Y. & Yakubu, D.G. & Khan, I., 2019. "Effect of fractional derivatives on transient MHD flow and radiative heat transfer in a micro-parallel channel at high zeta potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 42-71.
    15. Qureshi, Sania, 2020. "Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 151-165.
    16. Owolabi, Kolade M., 2021. "Computational analysis of different Pseudoplatystoma species patterns the Caputo-Fabrizio derivative," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    17. Abdelkawy, M.A. & Lopes, António M. & Babatin, Mohammed M., 2020. "Shifted fractional Jacobi collocation method for solving fractional functional differential equations of variable order," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    18. Muhammad Shoaib Arif & Kamaleldin Abodayeh & Yasir Nawaz, 2023. "A Computational Scheme for Stochastic Non-Newtonian Mixed Convection Nanofluid Flow over Oscillatory Sheet," Energies, MDPI, vol. 16(5), pages 1-17, February.
    19. Gao, Wei & Baskonus, Haci Mehmet, 2022. "Deeper investigation of modified epidemiological computer virus model containing the Caputo operator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    20. Tabi, C.B. & Ndjawa, P.A.Y. & Motsumi, T.G. & Bansi, C.D.K. & Kofané, T.C., 2020. "Magnetic field effect on a fractionalized blood flow model in the presence of magnetic particles and thermal radiations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s037843711931773x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.