IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v215y2024icp291-305.html
   My bibliography  Save this article

Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators

Author

Listed:
  • Li, Nan
  • Wang, Xiaoping
  • Xu, Huanying
  • Qi, Haitao

Abstract

The magnetohydrodynamic (MHD) flow has been concerned widely for its widespread adoption in the field of astrophysics, electronics and many other industries over the years. The purpose of this article is to introduce the variable and distributed order space fractional models to characterize the MHD flow and heat transfer of heterogeneous viscoelastic fluids in a parallel plates. Based on the central difference approximation of Riesz space fractional derivative, the Crank–Nicolson difference scheme for the governing equations is established, and the effectiveness of the algorithm is verified by two numerical examples. We examine the effects of fractional-order model parameters on the velocity and temperature, our investigation indicates that for the constant fractional model, the larger the fractional order parameter, the smaller the velocity and temperature. The variable space fractional method can be used to describe dynamic behavior with time and space dependence, while the distributed space fractional model can describe various phenomena in which the number of differential orders varies over a certain range, characterizing their complex processes over space, and it is also more suitable for simulating the fluid flow and thermal behavior of complex viscoelastic magnetic fluid.

Suggested Citation

  • Li, Nan & Wang, Xiaoping & Xu, Huanying & Qi, Haitao, 2024. "Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 291-305.
    • Handle: RePEc:eee:matcom:v:215:y:2024:i:c:p:291-305
    DOI: 10.1016/j.matcom.2023.07.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423003117
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.07.021?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. Padma, R. & Ponalagusamy, R. & Tamil Selvi, R., 2019. "Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Atangana, Abdon & Khan, Muhammad Altaf, 2019. "Validity of fractal derivative to capturing chaotic attractors," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 50-59.
    3. Slawomir Blasiak, 2021. "Heat Transfer Analysis for Non-Contacting Mechanical Face Seals Using the Variable-Order Derivative Approach," Energies, MDPI, vol. 14(17), pages 1-13, September.
    4. Liu, Yi & Chi, Xiaoqing & Xu, Huanying & Jiang, Xiaoyun, 2022. "Fast method and convergence analysis for the magnetohydrodynamic flow and heat transfer of fractional Maxwell fluid," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    Full references (including those not matched with items on IDEAS)

    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. R, Padma & R, Ponalagusamy & R, Tamil Selvi, 2020. "Corrigendum to “Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field” [Applied Mathematic," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    3. Kumar, Sachin & Pandey, Prashant, 2020. "Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana–Baleanu time fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. Kumar, Sachin & Cao, Jinde & Abdel-Aty, Mahmoud, 2020. "A novel mathematical approach of COVID-19 with non-singular fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    5. Altun, Ishak & Sahin, Hakan & Aslantas, Mustafa, 2021. "A new approach to fractals via best proximity point," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    6. Padma, R. & Ponalagusamy, R. & Selvi, R. Tamil, 2024. "Corrigendum to “Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field” [Appl. Math. Comput," Applied Mathematics and Computation, Elsevier, vol. 471(C).
    7. Imran, M.A., 2020. "Application of fractal fractional derivative of power law kernel (FFP0Dxα,β) to MHD viscous fluid flow between two plates," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    8. Siddique, Imran & Akgül, Ali, 2020. "Analysis of MHD generalized first problem of Stokes’ in view of local and non-local fractal fractional differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    9. 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).
    10. Andrei Zoltan Farkas & Veronica Argeșanu & Beniamin Boșcai & Denisa Abrudan, 2022. "Maintenance Cycle Reduction Time and Energy Savings of Mechanical Face Seals Using Thermodynamic FEM Analysis," Energies, MDPI, vol. 15(24), pages 1-22, December.
    11. Al-khedhairi, A. & Elsadany, A.A. & Elsonbaty, A., 2019. "Modelling immune systems based on Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 129(C), pages 25-39.
    12. Kumar, Sachin & Pandey, Prashant, 2020. "A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burger’s–Huxley and reaction-diffusion equation with Atangana–Baleanu derivative," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    13. Wang, Wanting & Khan, Muhammad Altaf & Fatmawati, & Kumam, P. & Thounthong, P., 2019. "A comparison study of bank data in fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 369-384.
    14. Ishtiaq Ali & Sami Ullah Khan, 2023. "A Dynamic Competition Analysis of Stochastic Fractional Differential Equation Arising in Finance via Pseudospectral Method," Mathematics, MDPI, vol. 11(6), pages 1-16, March.
    15. Vázquez-Guerrero, P. & Gómez-Aguilar, J.F. & Santamaria, F. & Escobar-Jiménez, R.F., 2019. "Synchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 167-175.
    16. Akgül, Ali & Siddique, Imran, 2021. "Analysis of MHD Couette flow by fractal-fractional differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    17. Abd-Allah Hyder & Ahmed H. Soliman & Clemente Cesarano & M. A. Barakat, 2021. "Solving Schrödinger–Hirota Equation in a Stochastic Environment and Utilizing Generalized Derivatives of the Conformable Type," Mathematics, MDPI, vol. 9(21), pages 1-16, October.
    18. Artur S. Bartosik, 2022. "Numerical Heat Transfer and Fluid Flow: A Review of Contributions to the Special Issue," Energies, MDPI, vol. 15(8), pages 1-8, April.

    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:matcom:v:215:y:2024:i:c:p:291-305. 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/mathematics-and-computers-in-simulation/ .

    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.