Abstract

We study the Falkner–Skan flow of a viscoelastic fluid governed by the FENE-P model, as the Reynolds number Re → ∞ and the Weissenberg number We is such that WeRe 1 / 2 = O ( 1 ) . We obtain a differential–algebraic system for the stream function and the stress. We show that a similarity solution exists only for axisymmetric stagnation point flow which corresponds to an angle of attack m = 1 3 . The stream function is then governed by a generalized Falkner–Skan equation. The effect of extensibility on the skin friction and first normal stress coefficients are discussed.

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