The development of a numerical model for analyzing and scaling boiling phenomena in a circular cooling passage subjected to high heat flux is described. The model is used to solve the conjugate conduction/convection heat transfer problem for a variety of fluid and geometric parameters. The results provide detailed information, describing the essential features of the heat transfer process. This, along with recent observations of high heat flux boiling phenomena, is used to formulate a reasonable analytic scaling law. A glass-refrigerant system is then analyzed as a potential model for a copper-water system, facilitating laboratory-scale study.