The Falkner–Skan flow of a viscoelastic fluid

We study the Falkner–Skan flow of a viscoelastic fluid governed by the FENE-P model, as the Reynolds number Re→∞Re→∞ and the Weissenberg number WeWe is such that WeRe1/2=O(1)WeRe1/2=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=13. 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.