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Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy

Author

Listed:
  • Muhammad Umar
  • Rizwan Akhtar
  • Zulqurnain Sabir
  • Hafiz Abdul Wahab
  • Zhu Zhiyu
  • Ali Imran
  • Muhammad Shoaib
  • Muhammad Asif Zahoor Raja

Abstract

In this manuscript, a computational paradigm of technique shooting is exploited for investigation of the three-dimensional Eyring-Powell fluid with activation energy over a stretching sheet with slip arising in the field of fluid dynamics. The problem is modeled and resulting nonlinear system of PDEs is transformed into nonlinear system of ODEs using well-known similarity transformations. The strength of shooting based computing approach is employed to analyze the dynamics of the system. The proposed technique is well-designed for different scenarios of the system based on three-dimensional non-Newtonian fluid with activation energy over a stretching sheet. Slip condition is also incorporated to enhance the physical and dynamical analysis of the system. The proposed results are compared with the bvp4C method for the correctness of the solver. Graphical and numerical illustrations are used to envisage the behavior of different proficient physical parameters of interest including magnetic parameter, stretching rate parameter, velocity slip parameter, Biot number on velocity, and Lewis number on temperature and concentration.

Suggested Citation

  • Muhammad Umar & Rizwan Akhtar & Zulqurnain Sabir & Hafiz Abdul Wahab & Zhu Zhiyu & Ali Imran & Muhammad Shoaib & Muhammad Asif Zahoor Raja, 2019. "Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-12, May.
  • Handle: RePEc:hin:jnlamp:9860471
    DOI: 10.1155/2019/9860471
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    Cited by:

    1. José L. Díaz & Saeed ur Rahman & Muhammad Nouman, 2022. "Liouville-Type Results for a Two-Dimensional Stretching Eyring–Powell Fluid Flowing along the z -Axis," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    2. Umar, Muhammad & Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Baskonus, Haci Mehmet & Ali, Mohamed R. & Shah, Nehad Ali, 2023. "Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 234-248.
    3. José Luis Díaz & Saeed Ur Rahman & Juan Carlos Sánchez Rodríguez & María Antonia Simón Rodríguez & Guillermo Filippone Capllonch & Antonio Herrero Hernández, 2022. "Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell," Mathematics, MDPI, vol. 10(4), pages 1-15, February.

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