• the lie-group shooting method for boundary-layer problems with suction/injection/reverse flow conditions for power-law fluids

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 906
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     for power-law fluids we propose a lie-group shooting method to tackle the boundary-layer problems under a suction/injection as well as a reverse flow boundary conditions. the crocco transformation is employed to reduce the third-order equation to a second-order ordinary differential equation, and then through a symmetric extension to a boundary value problem with constant boundary conditions  , which can be solved numerically by the lie-group shooting method. however, the resulting equation is singular, which might be difficult to solve, and we propose a technique to overcome the initial impulse caused by the singularity using a very small time-step integration at the first few time steps. because we can express the missing initial condition through a closed-form formula in terms of the weighting factor r∈(0,1), the lie-group shooting method is very effective for searching the multiple-solutions of a reverse flow boundary condition.

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