Transient Motion of an Infinite Flat Plate

Power-law fluids. Let us consider a stagnant semi-infinite fluid bounded by a rigid plane -oo X oo, Y 0. The problem of flow evolution for t 0 

This equation was solved in [39] by introducing the self-similar variable 

For Newtonian fluids (n = 1), Eq. (6.10.8) becomes linear and has the well-known solution (1.9.3). 

Analytical expressions for dimensionless self-similar profiles of transient velocity for various n 

Note that solutions of the form (6.10.11) are physically meaningful only for pseudoplastic fluids (n 1). 

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