IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v150y2021ics0960077921004690.html
   My bibliography  Save this article

Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries

Author

Listed:
  • Safdar, M.
  • Ijaz Khan, M.
  • Taj, S.
  • Malik, M.Y.
  • Shi, Qiu-Hong

Abstract

We obtain Lie point symmetries for the system of partial differential equations describing flow and heat transfer in a thin liquid film on an unsteady stretching sheet and use them to construct invariants. We derive similarity transformations using deduced invariants that reduce the independent variables of the considered flow model. Such reductions lead to systems of ordinary differential equations. We solve these systems of ordinary differential equations analytically by applying the Homotopy analysis method.

Suggested Citation

  • Safdar, M. & Ijaz Khan, M. & Taj, S. & Malik, M.Y. & Shi, Qiu-Hong, 2021. "Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004690
    DOI: 10.1016/j.chaos.2021.111115
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921004690
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111115?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. R. C. Aziz & I. Hashim & S. Abbasbandy, 2012. "Effects of Thermocapillarity and Thermal Radiation on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Muhammad Bilal & Muhammad Safdar & Safia Taj & Amad Zafar & Muhammad Umair Ali & Seung Won Lee, 2022. "Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

    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. Kohilavani Naganthran & Roslinda Nazar & Zailan Siri & Ishak Hashim, 2021. "Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow," Mathematics, MDPI, vol. 9(23), pages 1-19, November.
    2. Muhammad Bilal & Muhammad Safdar & Safia Taj & Amad Zafar & Muhammad Umair Ali & Seung Won Lee, 2022. "Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating," Mathematics, MDPI, vol. 10(24), pages 1-16, December.

    More about this item

    Statistics

    Access and download statistics

    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:eee:chsofr:v:150:y:2021:i:c:s0960077921004690. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.