IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i4p660-d753845.html
   My bibliography  Save this article

Analysis of Solutions, Asymptotic and Exact Profiles to an Eyring–Powell Fluid Modell

Author

Listed:
  • José Luis Díaz

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain)

  • Saeed Ur Rahman

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • Juan Carlos Sánchez Rodríguez

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain)

  • María Antonia Simón Rodríguez

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain)

  • Guillermo Filippone Capllonch

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain)

  • Antonio Herrero Hernández

    (Escuela Politécnica Superior, Universidad Francisco de Vitoria, Ctra. Pozuelo-Majadahonda Km 1800, Pozuelo de Alarcón, 28223 Madrid, Spain)

Abstract

The aim of this article was to provide analytical and numerical approaches to a one-dimensional Eyring–Powell flow. First of all, the regularity, existence, and uniqueness of the solutions were explored making use of a variational weak formulation. Then, the Eyring–Powell equation was transformed into the travelling wave domain, where analytical solutions were obtained supported by the geometric perturbation theory. Such analytical solutions were validated with a numerical exercise. The main finding reported is the existence of a particular travelling wave speed a = 1.212 for which the analytical solution is close to the actual numerical solution with an accumulative error of < 10 − 3 .

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:660-:d:753845
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/4/660/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/4/660/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:660-:d:753845. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.