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Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation

Author

Listed:
  • Vellaboyina Nagendramma

    (Department of Mathematics, Presidency University, Bangalore 560064, Karnataka, India
    These authors contributed equally to this work and are co-first authors.)

  • Putta Durgaprasad

    (Division of Mathematics, Vellore Institute of Technology, Chennai Campus, Chennai 600127, Tamil Nadu, India)

  • Narsu Sivakumar

    (Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur 603203, Tamil Nadu, India)

  • Battina Madhusudhana Rao

    (Faculty Mathematics, Department of Information Technology, University of Technology and Applied Sciences, Muscat 133, Oman)

  • Chakravarthula Siva Krishnam Raju

    (School of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea)

  • Nehad Ali Shah

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

  • Se-Jin Yook

    (School of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea)

Abstract

This analysis is interested in the dynamic flow of incompressible triple diffusive fluid flowing through a linear stretched surface. The current study simulates when Boussinesq approximation and MHD are significant. As for originality, a comparative study of all the results for opposing and assisting flow cases is provided. Lie-group transformation is utilized to determine symmetry depletions of partial differential equations. The transformed system of ordinary differential equations is solved using the Runge-Kutta shooting technique. The impacts of magnetic parameter, buoyancy ratio parameter of temperature and concentration, and Lewis number on velocity, temperature, and concentration are depicted through graphs. We observed that the magnetic field parameter decelerates in velocity distribution for both fluid flow cases. Additionally, the same phenomenon was noticed with the buoyancy ratio parameters on both salt concentration distributions. Finally, the influence of heat and mass transfer rates decreases for both fluid flow cases with an increase in Lewis number.

Suggested Citation

  • Vellaboyina Nagendramma & Putta Durgaprasad & Narsu Sivakumar & Battina Madhusudhana Rao & Chakravarthula Siva Krishnam Raju & Nehad Ali Shah & Se-Jin Yook, 2022. "Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation," Mathematics, MDPI, vol. 10(14), pages 1-31, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2456-:d:862670
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    References listed on IDEAS

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    1. Md. Jashim Uddin & W. A. Khan & A. I. Md. Ismail, 2012. "Scaling Group Transformation for MHD Boundary Layer Slip Flow of a Nanofluid over a Convectively Heated Stretching Sheet with Heat Generation," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, May.
    2. Mohamed Dhia Massoudi & Mohamed Bechir Ben Hamida & Hussein A. Mohammed & Mohammed A. Almeshaal, 2020. "MHD Heat Transfer in W-Shaped Inclined Cavity Containing a Porous Medium Saturated with Ag/Al 2 O 3 Hybrid Nanofluid in the Presence of Uniform Heat Generation/Absorption," Energies, MDPI, vol. 13(13), pages 1-21, July.
    3. Fareo, A.G., 2022. "A note on the transformation of boundary value problems to initial value problems: The iterative transformation method," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    4. Khan, Zafar Hayat & Khan, Waqar Ahmed & Sheremet, Mikhail Alexandrovich, 2020. "Enhancement of heat and mass transfer rates through various porous cavities for triple convective-diffusive free convection," Energy, Elsevier, vol. 201(C).
    5. Salman Zeb & Suliman Khan & Zakir Ullah & Muhammad Yousaf & Ilyas Khan & Nawa Alshammari & Nur Alam & Nawaf N. Hamadneh & Mohammad Yaghoub Abdollahzadeh Jamalabadi, 2022. "Lie Group Analysis of Double Diffusive MHD Tangent Hyperbolic Fluid Flow over a Stretching Sheet," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, February.
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    Cited by:

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