Regimes of superfluid-helium boiling on structural-steel spheres 4.8 and 6.0 mm in diameter, with heaters installed inside, are examined. Experimental data on the evolution of vapor films formed on the spherical surfaces are obtained.Introduction. Knowing the features of vapor-film formation and development on heater surfaces is important both for basic research of transfer processes across interfaces and for solving many applied problems. In particular, elucidation of conditions for vapor-phase generation and development in superfluid-helium film boiling is necessary for working out measures providing for reliable cryostatting of superconducting magnets, cables, and other devices, and also for substantiating methods preventing equipment faults.The majority of He-II boiling studies were performed on cylindrical samples and flat heaters [1][2][3][4]. On the other hand, studying the evolution of the vapor film in He-II on spherical surfaces is capable of providing useful information for further development of the theory of heat and mass transfer and for various applications.Experimental Setup. To examine He-II boiling on a sphere, we used an experimental setup that comprised a cryostatting system, an optical system, a video-recording system, and also a system for generating the thermal load and temperature measurement (Fig. 1). The experimental assembly was a glass helium pair consisting of two Dewar flasks of different diameters: An inner flask filled by helium and an outer flask filled by nitrogen. The helium flask (whose inner diameter was 55 mm) was hermetically connected to the pipeline vapor evacuation. The outer flask was open (directly contacting the atmosphere) and was filled by liquid nitrogen serving as a protecting thermal shield. Both flasks had vision slots 20 mm wide, which were used for video recording of the experimental processes. The flasks were aligned so that the slots coincided with each other, which allowed visual observations and video recording of the experimental cell installed in the inner flask. The desired temperature in the helium bath was maintained by vapor evacuation. The liquid temperature was monitored on the basis of the saturation pressure measured with a mercury manometer. The cryostat was filled by liquid helium from an STG-40 liquid-helium transport vessel through an overflow siphon.The processes on the sphere were recorded using an optical system consisting of an MBS-9 microscope placed onto the optical axis of the two Dewar flasks, a video camera coupled with the microscope eyepiece, and a videotape recorder.The experimental sample is schematically shown in Fig. 2. A hole was drilled in a ball bearing to insert a fluoroplastic-insulated carbon heater. Samples 4.8 and 6.0 mm in diameter were used. The heat supplied to the heater was measured by a four-wire circuit. The electric current in the supply circuit was determined from the voltage drop across a reference coil with a nominal resistance of 0.1 Ω. The depth of sphere penetration below the superfluid-helium level was mea...