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

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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    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.
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