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Effects of Thermocapillarity and Thermal Radiation on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet

Author

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  • R. C. Aziz
  • I. Hashim
  • S. Abbasbandy

Abstract

This paper examines the effects of thermocapillarity and thermal radiation on the boundary layer flow and heat transfer in a thin film on an unsteady stretching sheet with nonuniform heat source/sink. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation and then are solved by using the homotopy analysis method (HAM). The effects of the radiation parameter, the thermocapillarity number, and the temperature-dependent parameter in this study are discussed and presented graphically via velocity and temperature profiles.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlmpe:127320
    DOI: 10.1155/2012/127320
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    Cited by:

    1. 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).
    2. 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.
    3. 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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