IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v432y2022ics0096300322004374.html
   My bibliography  Save this article

Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions

Author

Listed:
  • Badday, Alaa Jabbar
  • Harfash, Akil J.

Abstract

We investigate the linear instability of a fully developed pressure-driven flow of an electrically conducting fluid in a porous channel using the Brinkman-Darcy model and the additional effects of a uniform magnetic field and slip boundary conditions. Two Chebyshev collocation techniques are used to solve the ordinary eigenvalue system governing the onset of convection. The critical Reynolds number, Rec, wavenumber, ac, and wave speed cc are found in terms of the porous parameter M, the dimensionless slip length, N0, and the Hartmann number Ha.

Suggested Citation

  • Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    • Handle: RePEc:eee:apmaco:v:432:y:2022:i:c:s0096300322004374
    DOI: 10.1016/j.amc.2022.127363
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322004374
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127363?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. Bhatti, M.M. & Abbas, M. Ali & Rashidi, M.M., 2018. "A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 381-389.
    2. Sayyed, S.R. & Singh, B.B. & Bano, Nasreen, 2018. "Analytical solution of MHD slip flow past a constant wedge within a porous medium using DTM-Padé," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 472-482.
    3. Ene, Remus-Daniel & Marinca, Vasile, 2015. "Approximate solutions for steady boundary layer MHD viscous flow and radiative heat transfer over an exponentially porous stretching sheet," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 389-401.
    4. Harfash, Akil J. & Meften, Ghazi Abed, 2019. "Couple stresses effect on instability and nonlinear stability in a double diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 301-320.
    5. Borrelli, Alessandra & Giantesio, Giulia & Patria, Maria Cristina, 2015. "MHD orthogonal stagnation-point flow of a micropolar fluid with the magnetic field parallel to the velocity at infinity," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 44-60.
    6. Harfash, Akil J., 2016. "Resonant penetrative convection in porous media with an internal heat source/sink effect," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 323-342.
    7. Harfash, Akil J. & Meften, Ghazi Abed, 2018. "Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 18-25.
    8. Bourantas, G.C. & Loukopoulos, V.C. & Joldes, G.R. & Wittek, A. & Miller, K., 2019. "An explicit meshless point collocation method for electrically driven magnetohydrodynamics (MHD) flow," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 215-233.
    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. Meften, Ghazi Abed, 2021. "Conditional and unconditional stability for double diffusive convection when the viscosity has a maximum," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    2. Harfash, Akil J. & Meften, Ghazi Abed, 2019. "Couple stresses effect on instability and nonlinear stability in a double diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 301-320.
    3. Li, Xiang & Yu, Peng & Niu, Xiao-Dong & Li, De-Cai & Yamaguchi, Hiroshi, 2021. "A magnetic field coupling lattice Boltzmann model and its application on the merging process of multiple-ferrofluid-droplet system," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    4. Ali, Bagh & Khan, Shahid Ali & Hussein, Ahmed Kadhim & Thumma, Thirupathi & Hussain, Sajjad, 2022. "Hybrid nanofluids: Significance of gravity modulation, heat source/ sink, and magnetohydrodynamic on dynamics of micropolar fluid over an inclined surface via finite element simulation," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    5. Wei, Sun & Jafaryar, M. & Sheikholeslami, M. & Shafee, Ahmad & Nguyen-Thoi, Trung & Yazdani, Tulha Moaiz & Tlili, I. & Li, Zhixiong, 2019. "Simulation of nanomaterial turbulent modeling in appearance of compound swirl device concerning exergy drop," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Heat and Mass Transfer Analysis for the Viscous Fluid Flow: Dual Approximate Solutions," Mathematics, MDPI, vol. 11(7), pages 1-22, March.
    7. Ahmad, Shafiq & Nadeem, Sohail & Muhammad, Noor & Issakhov, Alibek, 2020. "Radiative SWCNT and MWCNT nanofluid flow of Falkner–Skan problem with double stratification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    8. Remus-Daniel Ene & Nicolina Pop & Rodica Badarau, 2023. "Partial Slip Effects for Thermally Radiative Convective Nanofluid Flow," Mathematics, MDPI, vol. 11(9), pages 1-28, May.
    9. Tripathi, Vinit Kumar & Mahajan, Amit, 2022. "Nonlinear stability analysis of double diffusive convection in a fluid saturated porous layer with variable gravity and throughflow," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    10. Umar Khan & Adnan & Naveed Ahmed & Syed Tauseef Mohyud-Din & Dumitru Baleanu & Ilyas Khan & Kottakkaran Sooppy Nisar, 2020. "A Novel Hybrid Model for Cu–Al 2 O 3 /H 2 O Nanofluid Flow and Heat Transfer in Convergent/Divergent Channels," Energies, MDPI, vol. 13(7), pages 1-13, April.
    11. Harfash, Akil J. & Meften, Ghazi Abed, 2018. "Couple stresses effect on linear instability and nonlinear stability of convection in a reacting fluid," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 18-25.
    12. Mehboob, Hira & Maqbool, Khadija & Ullah, Hameed & Siddiqui, Abdul Majeed, 2022. "Computational analysis of an axisymmetric flow of Jeffrey fluid in a permeable micro channel," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    13. Bagh Ali & Rizwan Ali Naqvi & Amna Mariam & Liaqat Ali & Omar M. Aldossary, 2020. "Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy," Mathematics, MDPI, vol. 9(1), pages 1-18, December.
    14. Farooq, A.A. & Tripathi, D. & Elnaqeeb, Thanaa, 2019. "On the propulsion of micropolar fluid inside a channel due to ciliary induced metachronal wave," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 225-235.

    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:apmaco:v:432:y:2022:i:c:s0096300322004374. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.