Thermo-Stressed State of the Shell of a Cylindrical Cryogenic Tank when it is Being Filled

The process of filling a tank with cryogenic liquid is considered in this paper. A complex mathematical model is built that describes the thermo-stressed state of the circular cylindrical shell of the tank when the temperature along the generatrix is distributed nonuniformly, which is caused by the fluctuation of the liquid level. In the general case, the shell is loaded by the internal pressure in the tank chamber, hydrostatic pressure of the liquid and axial compressive force. The quantitative analysis of the model simulating the displacement of the liquid level at a constant speed allowed the estimation of the time required to establish quasi-stationary temperature distribution along the shell generatrix, and the effect of the governing parameters on the non-uniform temperature distribution and radial displacement of the shell. It also allowed the evaluation of the distribution of the bending moment at the shell cross section and the maximum absolute value of the axial compressive stress. The calculations presented in this paper can be useful in calculating and designing shells of cryogenic tanks.

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