Most mathematical models of the film blowing process are based on the approach of Pearson and Petrie [1], simulating the process from die exit to freeze line. In the actual film blowing process an air ring is typically used to cool the polymer film from die exit to a certain height. Such air rings also influence film bubble shape development. Models of the cooling air ring are summarized in the thesis of Sidiropoulos, 2000 [2]. The combination of the cooling and shape development in the air ring and the blowing up in the free surface part is a challenge in modeling that is addressed in this contribution. It is assumed that the film follows the shape of the air ring from the die exit until the end of the ring, [2]. At the end of the ring the film evolves in free space until it reaches the freeze line, [1]. The multi-mode Maxwell and Phan-Thien Tanner viscoelastic constitutive models are used to determine stresses. The simulations lead to improved understanding of the effect on stress of air ring parameters coupled to a specific polymer for nominally similar film blowing conditions (e.g. same BUR, same final thickness). These stresses are indicators for resulting film mechanical properties. [1] J. R. A. Pearson and C. J. S. Petrie, Fluid Mechanics, 42, 609 (1970) [2] V. Sidiropoulos, The effects of air cooling on the film blowing process, Hamilton (2000)