In this paper we present a comprehensive and a complete picture of the steady state behavior of a boiling channel subject to a constant pressure drop. To achieve this we have used singularity theory. The inlet velocity to the channel is chosen as the state variable. Its dependence on the imposed pressure drop chosen as the bifurcation parameter is depicted as bifurcation diagrams. The dependence of these diagrams on the values of the other parameters that occur in the model is discussed in detail. All possible bifurcation diagrams of the system are obtained and the parameter combinations that result in each kind of a diagram are identified. In this problem the Boundary Limit Set plays an important role. It generates a new critical surface in parameter space across which the bifurcation behavior changes.