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On the solution of unsteady power law flow near a moving wall by new similarity analysis method. (English) Zbl 1367.76049

Summary: New similarity analysis method is employed to derive solution of non-linear partial differential equation with physical boundary conditions governing the unsteady power law flow near a moving wall. The resulting second order nonlinear similarity equation which is essentially an ordinary differential equation of boundary value type. The obtained ordinary differential boundary value problem is transformed to an initial value problem by the application of one parameter scaling group transformation.

MSC:

76M55 Dimensional analysis and similarity applied to problems in fluid mechanics