In this paper, effects of liquid volume fraction, temperature and work pressure in cryogenic vessels on the pressure rise rates in cryogenic vessels are analyzed. Graphs of the relation between storage-pressure and heat flow received by the container per unit of volume for various volume fractions are proposed, and also graphs of the relation between time and pressure of non-loss storage for various volume fractions are presented. The best volume fraction is defined. Also, the graphs of the relation between environmental temperature and the performance of non-loss storage are proposed. In addition, the phenomenon of liquid-temperature layering is analyzed and methods to reduce this layering are suggested. These results have significance in the design, usage and selection of cryogenic vessels.