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Computational and Stability Analysis of MHD Time-Dependent Thermal Reaction Flow Impinging on a Vertical Porous Plate Enclosing Magnetic Prandtl Number and Thermal Radiation Effect

Author

Listed:
  • Zeeshan

    (Department of Mathematics and Statistics, Bacha Khan University, Charsadda 24420, Pakistan
    These authors contributed equally to this work and are co-first authors.)

  • N. Ameer Ahammad

    (Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Nehad Ali Shah

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea
    These authors contributed equally to this work and are co-first authors.)

  • Jae Dong Chung

    (Department of Mechanical Engineering, Sejong University, Seoul 05006, Republic of Korea)

  • Muhammad Shoaib Khan

    (Department of Mathematics, University of Peshawar, Peshawar 25120, Pakistan)

Abstract

The aim of the present study is to investigate magnetohydrodynamic (MHD) time-dependent flow past a vertical slanted plate enclosing heat and mass transmission (HMT), induced magnetic field (IMF), thermal radiation (TR), and viscous and magnetic dissipation characteristics on a chemical reaction fluid flow. A boundary layer estimate is taken to develop a movement that exactly captures the time-dependent equations for continuity, momentum, magnetic induction, energy, concentration, generalized Ohm’s law, and Maxwell’s model. Partial differential equations designate the path occupied by the magnetized fluid as it passes through the porous matrix. In addition, a heat source is included in the model in order to monitor the flow nature in the current study. Because of the nonlinearity in the governing equations, the mathematical models are computed numerically by RK4 method. Further, tables and graphs are depicted to elucidate the physical influence of important factors on the flow characteristics. The novelty of the present work is investigating the irregular heat source and chemical reaction over the porous rotating channel. It is perceived that high thermal radiation occurs with increases in temperature and concentration. It is witnessed that the IMF effect is diminished for large values of magnetic Prandtl number (MPN). It is also analyzed that with increasing the heat source factor, the velocity of the fluid enhances. For stability analysis, the existing effort is compared with the published work and good agreement is found. Moreover, the residue error estimation confirms our solution.

Suggested Citation

  • Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Muhammad Shoaib Khan, 2023. "Computational and Stability Analysis of MHD Time-Dependent Thermal Reaction Flow Impinging on a Vertical Porous Plate Enclosing Magnetic Prandtl Number and Thermal Radiation Effect," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1376-:d:1094954
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    References listed on IDEAS

    as
    1. Md. Jashim Uddin & O. A. Bég & A. Aziz & A. I. Md. Ismail, 2015. "Group Analysis of Free Convection Flow of a Magnetic Nanofluid with Chemical Reaction," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, February.
    2. Kumar, Dileep & Singh, A.K. & Kumar, Devendra, 2020. "Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    3. M. M. Rashidi & E. Momoniat & M. Ferdows & A. Basiriparsa, 2014. "Lie Group Solution for Free Convective Flow of a Nanofluid Past a Chemically Reacting Horizontal Plate in a Porous Media," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-21, February.
    4. Solomon Bati Kejela & Mitiku Daba & Abebe Girum & Niansheng Tang, 2021. "Investigation of Effects of Thermal Radiation, Magnetic Field, Eckert Number, and Thermal Slip on MHD Hiemenz Flow by Optimal Homotopy Asymptotic Method," Journal of Mathematics, Hindawi, vol. 2021, pages 1-15, April.
    5. B.J., Gireesha & Umeshaiah, M. & Prasannakumara, B.C. & N.S., Shashikumar & Archana, M., 2020. "Impact of nonlinear thermal radiation on magnetohydrodynamic three dimensional boundary layer flow of Jeffrey nanofluid over a nonlinearly permeable stretching sheet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    6. Aissa Abderrahmane & Naef A. A. Qasem & Obai Younis & Riadh Marzouki & Abed Mourad & Nehad Ali Shah & Jae Dong Chung, 2022. "MHD Hybrid Nanofluid Mixed Convection Heat Transfer and Entropy Generation in a 3-D Triangular Porous Cavity with Zigzag Wall and Rotating Cylinder," Mathematics, MDPI, vol. 10(5), pages 1-18, February.
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    Cited by:

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