To evaluate the safety designs aimed at the stratified corium pools for nuclear reactors applied in the marine environment, it’s important to carry out research on the convection related phenomena inside a layered fluids system under motion conditions. Thus, in this paper, the macroscopic characteristics of heat transfer and stratification for the double-layer fluids systems with internal heat source under motion conditions were studied through visualization experiments, and due to the complexity of actual ocean motions, only swinging motions were considered. In this research, a new dimensionless number Ris was proposed to quantify the effects of swinging motions, which represents the ratio of the characteristic buoyancy to the characteristic centrifugal force caused by swinging motions. Based on experimental results, swinging motions exert the most significant impacts on the layered systems when Ris is less than 1. In this case, the ratio of maximum temperature fT and the ratio of temperature difference between the two layers fΔT both dropped below 0.5, while the ratio of peak heat transfer capacity fQ-peak raised above 1.5, with the ratio of stable heat transfer capacity fQ-stable most probably lying within the range of 1.06 to 1.2. Additionally, several representative types of macroscopic interface deformation or stratification instability was observed, and phenomenon of mixing could appear between the double-layer fluids under intense-enough swinging conditions. These phenomena imply the significantly intensified forced convection inside the layered systems, which explains the sharply decreased temperature difference and the greatly enhanced heat transfer capacity during high-intensity swinging motions. By contrast, when Ris becomes larger than 10, the values of fΔT、fΔT and fQ-peak will be approaching to 1.0, and relatively stable stratification of the layered systems can be maintained, which indicates the increasingly negligible impacts of swinging motions in such cases. Besides, it was found that an increase in the thickness of either the lower-layer or the upper fluid also helped restrain interface deformation and enhanced the stratification stability of the layered systems.