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A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD

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  • Bhatti, M.M.
  • Abbas, M. Ali
  • Rashidi, M.M.

Abstract

In this paper, stagnation point flow over a permeable shrinking sheet under the influence of Magnetohydrodynamics (MHD) is analyzed using Successive linearization method. The governing equations are simplified with the help of similarity variables. The resulting nonlinear coupled differential equations have been solved with a combination of Successive linearization method and Chebyshev spectral collocation method. The impact of various pertinent parameters are demonstrated numerically and graphically. Comparison has also been made with the existing literature and found that the present results are in good agreement. It is also found that the present methodology converges more rapidly.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:316:y:2018:i:c:p:381-389
    DOI: 10.1016/j.amc.2017.08.032
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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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).
    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. 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).

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