• non-newtonian pseudoplastic fluids: analytical results and exact solutions

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 928
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     a one layer model of laminar non-newtonian fluids (ostwald–de waele model) past a semi-infinite flat plate is revisited. the stretching and the suction/injection velocities are assumed to be proportional to x1/(1−2n)and x  −1, respectively, where n   is the power-law index which is taken in the interval view the mathml source. it is shown that the boundary-layer equations display both similarity and pseudosimilarity reductions according to a parameter γ, which can be identified as suction/injection velocity. interestingly, it is found that there is a unique similarity solution, which is given in a closed form, if and only if γ=0 (impermeable surface). forγ≠0 (permeable surface) we obtain a unique pseudosimilarity solution for any 0≠γ≥−((n+1)/3n(1−2n))n/(n+1). moreover, we explicitly show that any pseudosimilarity solution exhibits similarity behavior and it is, in fact, similarity solution to a modified boundary-layer problem for an impermeable surface. in addition, the exact similarity solution of the original boundary-layer problem is used, via suitable transverse translations, to construct new explicit solutions describing boundary-layer flows induced by permeable surfaces.

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