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Radiative MHD Sutterby Nanofluid Flow Past a Moving Sheet: Scaling Group Analysis

Author

Listed:
  • Mohammed M. Fayyadh

    (Department of Mathematics and Statistics, Faculty of Applied Science & Technology, Universiti Tun Hussein Onn Malaysia, Pagoh 86400, Malaysia)

  • Kohilavani Naganthran

    (Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Malaysia)

  • Md Faisal Md Basir

    (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, UTM Johor Bahru 81310, Malaysia)

  • Ishak Hashim

    (Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Malaysia)

  • Rozaini Roslan

    (Department of Mathematics and Statistics, Faculty of Applied Science & Technology, Universiti Tun Hussein Onn Malaysia, Pagoh 86400, Malaysia)

Abstract

The present theoretical work endeavors to solve the Sutterby nanofluid flow and heat transfer problem over a permeable moving sheet, together with the presence of thermal radiation and magnetohydrodynamics (MHD). The fluid flow and heat transfer features near the stagnation region are considered. A new form of similarity transformations is introduced through scaling group analysis to simplify the governing boundary layer equations, which then eases the computational process in the MATLAB bvp4c function. The variation in the values of the governing parameters yields two different numerical solutions. One of the solutions is stable and physically reliable, while the other solution is unstable and is associated with flow separation. An increased effect of the thermal radiation improves the rate of convective heat transfer past the permeable shrinking sheet.

Suggested Citation

  • Mohammed M. Fayyadh & Kohilavani Naganthran & Md Faisal Md Basir & Ishak Hashim & Rozaini Roslan, 2020. "Radiative MHD Sutterby Nanofluid Flow Past a Moving Sheet: Scaling Group Analysis," Mathematics, MDPI, vol. 8(9), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1430-:d:404297
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    References listed on IDEAS

    as
    1. Nurul Amira Zainal & Roslinda Nazar & Kohilavani Naganthran & Ioan Pop, 2020. "Unsteady Three-Dimensional MHD Non-Axisymmetric Homann Stagnation Point Flow of a Hybrid Nanofluid with Stability Analysis," Mathematics, MDPI, vol. 8(5), pages 1-23, May.
    2. Hayat, Tasawar & Masood, Faria & Qayyum, Sumaira & Alsaedi, Ahmed, 2020. "Sutterby fluid flow subject to homogeneous–heterogeneous reactions and nonlinear radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    3. Naganthran, Kohilavani & Basir, Md Faisal Md & Kasihmuddin, Mohd Shareduwan Mohd & Ahmed, Sameh E. & Olumide, Falodun Bidemi & Nazar, Roslinda, 2020. "Exploration of dilatant nanofluid effects conveying microorganism utilizing scaling group analysis: FDM Blottner," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    4. Nawaz, M., 2020. "Role of hybrid nanoparticles in thermal performance of Sutterby fluid, the ethylene glycol," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    Full references (including those not matched with items on IDEAS)

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