“…However, the above model, allowing for a fairly adequate description of the ET ullage history [1,2], does not account for a substantial temperature stratification that may happen [3][4][5][6] in both the ullage [7][8][9][10] and the liquid [9,10] control volumes of the external and storage cryogenic tanks. The major goal of the present paper is to develop a model that correctly describes possible thermal stratification in both the ullage and liquid bulk parts of a tank that is based on ordinary differential equations, similar to those discussed in [1], short of a fullscale computational fluid dynamics (CFD) modeling scheme [3][4][5][6][7][8], so that it can be implemented efficiently and used for online state estimation, fault diagnosis, and fault prognosis.…”