The properties of an incompressible fluid in the mixing chamber of a constant area cylindrical ejector are analyzed in a two-dimensional form. The flow field for velocity and temperature is assumed to be made up of regions in which uniform flow of the primary and secondary fluids exist, and which diminish with axial distance from the ejector entrance. The velocity and temperature distributions in the mixed region are assumed to have cosine shaped profiles. The compatible solutions are given an axial distribution by assuming a parabolic spread rate for the secondary fluid jet boundary. Results are generated in the form of a non-dimensional velocity and pressure, a normalized temperature and a Momentum Factor, as functions of axial distance.