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Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect

Author

Listed:
  • Rusya Iryanti Yahaya

    (Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia)

  • Norihan Md Arifin

    (Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia
    Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia)

  • Ioan Pop

    (Department of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, Romania
    Academy of Romanian Scientists, 050044 Bucharest, Romania)

  • Fadzilah Md Ali

    (Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia
    Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia)

  • Siti Suzilliana Putri Mohamed Isa

    (Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia
    Centre of Foundation Studies For Agricultural Science, Universiti Putra Malaysia, Serdang 43400, Malaysia)

Abstract

A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, time-dependent derivatives, mixed convection, radiation effects, and the Grinberg term were all incorporated into the formulation of the governing equations and boundary conditions. By incorporating similarity transformations, ordinary differential (similarity) equations (ODEs) are derived from the partial differential equations (PDEs) of the flow model. The boundary value problem of the fourth-order accuracy code (bvp4c) was implemented in MATLAB (2017b, The MathWorks, Inc., Natick, MA. USA, 2017) to solve the mathematical model numerically. Due to the plate’s shrinking motion, two (dual) solutions are possible (first and second solutions). Based on the stability analysis, it was found that the first solution is stable and physically realizable in practice, while the second solution is not stable and not physically realizable in practice. It was found that the increase in the mixed convection parameter, modified Hartmann number, and unsteadiness parameter improved the hybrid nanofluid’s temperature profile. In addition, increasing the unsteadiness parameter decreased the velocity profile and the skin friction coefficient. Thus, the numerical results suggested that the augmentation of the modified Hartmann number, mixed convection parameter, and unsteadiness parameter can enhance the heat transfer performance in this flow model. This study offers valuable insight into fundamental transport phenomena such as the transmission of momentum, heat, or mass. Hence, it provides valuable information on the gradients of essential factors to control the boundary layer flow pattern.

Suggested Citation

  • Rusya Iryanti Yahaya & Norihan Md Arifin & Ioan Pop & Fadzilah Md Ali & Siti Suzilliana Putri Mohamed Isa, 2023. "Dual Solutions of Unsteady Mixed Convection Hybrid Nanofluid Flow Past a Vertical Riga Plate with Radiation Effect," Mathematics, MDPI, vol. 11(1), pages 1-20, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:215-:d:1022003
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    References listed on IDEAS

    as
    1. Umair Khan & Iskandar Waini & Aurang Zaib & Anuar Ishak & Ioan Pop, 2022. "MHD Mixed Convection Hybrid Nanofluids Flow over a Permeable Moving Inclined Flat Plate in the Presence of Thermophoretic and Radiative Heat Flux Effects," Mathematics, MDPI, vol. 10(7), pages 1-21, April.
    2. Feleke Buta Tadesse & Oluwole Daniel Makinde & Lemi Guta Enyadene, 2021. "Mixed Convection of a Radiating Magnetic Nanofluid past a Heated Permeable Stretching/Shrinking Sheet in a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-21, June.
    3. Ahmed Mohammed Alshehri & Hasan Huseyin Coban & Shafiq Ahmad & Umair Khan & Wajdi Mohamad Alghamdi, 2021. "Buoyancy Effect on a Micropolar Fluid Flow Past a Vertical Riga Surface Comprising Water-Based SWCNT–MWCNT Hybrid Nanofluid Subject to Partially Slipped and Thermal Stratification: Cattaneo–Christov M," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, June.
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