This paper describes a new method for the investigation of the stability of sheared liquid films that arise during the combustion of liquefying hybrid propellants and its immediate application to the problem of liquid droplet entrainment into the gas phase. Karabeyoglu and Cantwell investigated the problem of liquefying hybrid propellants and solved the problem of stability for a mean linearized velocity profile in the liquid film. The aforesaid paper claimed that for blowing parameters smaller than 1, the eigenvalue distribution solution for a mean linear profile will approximate the exact eigenvalue distribution satisfactorily. In the present paper, this claim is tested by the means of an independent and new method, for which a convergence proof was also included. It was found that the curvature of the mean velocity profile, dictated by the value of the blowing parameter, plays an essential role in the development of long-wave instabilities in sheared liquid films and therefore cannot be neglected even for small blowing parameters. Also, a discussion of the role of blowing on entrainment of liquid droplets into the oxidizer flow in the port is discussed.
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