The theory of optimal control used is based on the Pontryagin maximum principle under the acoustic-vacuum exposure affecting the liquid evaporation process in an experimental container. Evaporation energy consumption for a given liquid mass is taken as an optimality criterion. The physical and mathematical model of a liquid layer with formed vapor bubbles under acoustic-vacuum exposure is based on the use of a pendulum model. A physical model of the liquid evaporation process under acoustic-vacuum exposure is developed and experimental investigations are carried out. An optimal cyclogram of acoustic-vacuum exposure is obtained, at which the energy consumption for evaporation of a given mass of liquid decreases by 2.5 times in comparison with a given cyclogram of acoustic-vacuum exposure. The obtained experimental results demonstrate close coincidence with the theoretical results, the maximum discrepancy being below 9%.

所使用的最优控制理论基于 Pontryagin 最大值原理，在声真空暴露影响实验容器中的液体蒸发过程。给定液体质量的蒸发能量消耗被视为最优标准。在声真空暴露下形成蒸汽泡的液体层的物理和数学模型基于钟摆模型的使用。开发了声真空暴露下液体蒸发过程的物理模型，并进行了实验研究。获得了最佳的声真空暴露周期图，与给定的声真空暴露周期图相比，蒸发给定质量液体的能量消耗降低了 2.5 倍。