This investigation explores the possibilities to reduce the pressure drop of a single-channel micro-evaporator. The availability of micro-technology to create three-dimensional structures at a micro-meter scale opens opportunities to better control process conditions in once-through boilers. However, process miniaturization possesses some inherent drawbacks as well. Among others, the relatively large pressure drop in a micro-system makes it rather unsuitable for low-pressure applications. Especially in phase-change processes, the pressure drop may become large due to the expansion in small-sized channels. To address this drawback, flow boiling relations for small diameter tubes are first studied. These relations show a general form of the empirical correlations. Using this formulation, reduction factors could be deduced for the momentum pressure drop and friction pressure drop in case of a conical channel. These theoretically derived reduction factors show that the total pressure drop can be reduced significantly. The momentum pressure drop completely vanishes for outflow/inlet diameter ratios of 6.3 in the case of water. The friction pressure drop is reduced by a factor of ten at an outflow/inlet diameter ratio larger than four. An experimental comparison using a five-times diameter increase shows that the estimated reduction factor approaches the theoretically derived value for higher water supplies.