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Hermite–Padé approximation approach to steady flow of a liquid film with adiabatic free surface along an inclined heat plate

Author

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  • Makinde, O.D.

Abstract

The thermal stability of boundary layer flows of a temperature-dependent viscosity liquid film with adiabatic free surface along an inclined heated plate is studied using a special type of Hermite–Padé approximation approach. This semi-numerical scheme offers some advantages over solutions obtained by using traditional methods such as finite differences, spectral method, shooting method, etc. It reveals the analytical structure of the solution function and the important properties of overall flow structure including velocity field, temperature field, thermal criticality and bifurcations are discussed.

Suggested Citation

  • Makinde, O.D., 2007. "Hermite–Padé approximation approach to steady flow of a liquid film with adiabatic free surface along an inclined heat plate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 1-7.
    • Handle: RePEc:eee:phsmap:v:381:y:2007:i:c:p:1-7
    DOI: 10.1016/j.physa.2007.03.001
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    Cited by:

    1. Chtchelkatchev, N.M. & Ryltsev, R.E. & Mikheyenkov, A.V. & Valiulin, V.E. & Polishchuk, I.Ya., 2023. "Description of a glass transition with immeasurable structural relaxation time," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Adesanya, Samuel O. & Makinde, Oluwole D., 2015. "Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 222-229.

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