Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method

    Authors

    J. Cheng; S. J. Liao; R. N. Mohapatra;K. Vajravelu

    Comments

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    Abbreviated Journal Title

    Sci. China Ser. G-Phys. Mech. Astron.

    Keywords

    stagnation slip flow; Navier boundary condition; nano-fluidics; heat; transfer; homotopy analysis method; DIFFERENTIAL-EQUATIONS; DECOMPOSITION METHOD; Physics, Multidisciplinary

    Abstract

    An analytical approximation for the similarity solutions of the two- and three-dimensional stagnation slip flow and heat transfer is obtained by using the homotopy analysis method. This method is a series expansion method, but it is different from the perturbation technique, because it is independent of small physical parameters at all. Instead, it is based on a continuous mapping in topology so that it is applicable for not only weakly but also strongly nonlinear flow phenomena. Convergent [m,m] homotopy Pad, approximants are obtained and compared with the numerical results and the asymptotic approximations. It is found that the homotopy Pad, approximants agree well with the numerical results. The effects of the slip length a"" and the thermal slip constant beta on the heat transfer characteristics are investigated and discussed.

    Journal Title

    Science in China Series G-Physics Mechanics & Astronomy

    Volume

    52

    Issue/Number

    6

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    893

    Last Page

    899

    WOS Identifier

    WOS:000266252200015

    ISSN

    1672-1799

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