Numerical Study on the Sloshing Behaviors of Dual Liquid Tanks with Gas Inflow

Document Type : Regular Article


1 School of Mechanical and Materials Engineering, North China University of Technology, Beijing 100144, China

2 Ecole Polytechnique Montreal, Montreal, QC, Canada

3 School of Civil Engineering, Shijiazhuang Tiedao University, Hebei 050043, China



The finite volume method (FVM) is used to numerically investigate the sloshing behaviors of dual liquid tanks with gas inflow in this study. The sloshing process of a single liquid tank is simulated to verify the feasibility of the numerical method. Three different inlet boundary conditions are then discussed in order to obtain a reasonable gas flow rate. The sloshing process of a dual liquid tank with the gas inflow is simulated, and the effects of three different factors on the sloshing behaviors are investigated. The results indicate that the overload, flow rate, and filling ratio can affect the peak value of the impact force acting on the tank wall. The impact force is positively proportional to the overload (1G, 3G, or 5G). An increase in flow rate (50 g/s, 1000 g/s, or 5000 g/s) or a decrease in filling ratio (99.52%, 75.64%, or 63.69%) can increase the size and number of bubbles, leading to intensified sloshing behavior and increased impact force. 


Main Subjects

Baek, S., Lee, J., Kim, K.-S., Shin, D., Lim, H., Kim, J., Kim, J., Kim, M., Lim, B., Kim, C. h., Han, S., Cho, K., Oh, S., & Ko, J. (2022). Thermal performance evaluation and analysis of helium heat exchanger for cryogenic propellant launch vehicle. Cryogenics, 124.
Bai, J. L. (2020). Study of strong nonlinear interaction between wave current and horizontal cylinder [Doctor's Degree, Shanghai Jiao Tong University].
Brown, S. A., Ransley, E. J., Zheng, S., Xie, N., Howey, B., & Greaves, D. M. (2020). Development of a fully nonlinear, coupled numerical model for assessment of floating tidal stream concepts. Ocean Engineering, 218.  
Chen, Y., Lu, L. Q., Zhang, J. C., Chen, J., Hu, C. W., & Hu, J. Y. (2023). Establishment and application of equivalent mechanical model for longitudinal sloshing of sprayer tank liquid. Journal of Agricultural Machinery, 54(01), 173–182+195.
Dong, Z. (2002). Advances in numerical simulation of three-dimensional water flow. Journal of Water Resources and Water Transportation Engineering, 3(03), 66–73.
He, F., Zhang, H., Huang, C., & Liu, M. (2022). A stable SPH model with large CFL numbers for multi-phase flows with large density ratios. Journal of Computational Physics, 453.         
Hejranfar, K., & Azampour, M. H. (2016). Simulation of 2D fluid–structure interaction in inviscid compressible flows using a cell-vertex central difference finite volume method. Journal of Fluids and Structures, 67, 190–218.
Huang, X. N., Wang, L., Mao, H. W., Xue, L. J., & Li, Y. Z. (2020). Simulation study on the flow characteristics of cryogenic propellant for rocket lift-off. Journal of Refrigeration, 41(04), 136–143+166.        
Huang, Y., Q. Deng, J., & Ren, A. L. (2003). Research on lift and drag in unsteady viscous flow around circular cylinders. Journal of Zhejiang University (Engineering Science), 34(5), 596-601.
Ji, X. Y. (2023). Research on Hydrodynamic Characteristics of Ships with Liquid Tanks under Waves [Master's Degree, Dalian University of Technology].
Koca, F., & Zabun, M. (2021). Numerical investigation of water sloshing in square tank with multiple baffles. European Journal of Science and Technology(28), 1062–1070.
Kutlu, A., Uğurlu, B., & Omurtag, M. H. (2017). A combined boundary-finite element procedure for dynamic analysis of plates with fluid and foundation interaction considering free surface effect. Ocean Engineering, 145, 34–43.   
Li, J. C., Guo, Z. Y., Zhang, Y., Zhao, J. F., Li, K., & Hu, W. R. (2023). Thermal stratification and self-pressurization in a cryogenic propellant storage tank considering capillary effect in low-gravity. International Journal of Thermal Sciences, 194.
Li, Q. F. Chen, B. G., Xie, X. M., Zhong, Y. K., Zheng, X. L., & Bao, R. (2005). Simulation test of natural circulation precooling for cryogenic pump system. Journal Of Propulsion Technology, 26(2), 167-173.
Li, Y. L., Zhu, R. C., Miu, G. P., & Fan, J. (2012). Simulation of ship motions coupled with tank sloshing in time domain based on OpenFOAM. Journal of Ship Mechanics, 16(7), 750-758.
Liu, F. (2011). Dynamic analysis of liquid sloshing in storage tanks and research on structural anti-sloshing technology [Doctor's Degree, Nanjing University of Aeronautics and Astronautics].
Morais, M. V. G. d., Lopez, A. A. O., Martins, J. F., & Pedroso, L. J. (2020). Science - mechanical science; study data from university of brasilia update understanding of mechanical science (Equivalent mechanical model of rectangular container attached to a pendulum compared to experimental data and analytical solution). Journal of Technology, 42(143).           
Rafiee, A., Pistani, F., & Thiagarajan, K. (2011). Study of liquid sloshing: numerical and experimental approach. Computational Mechanics, 47(1), 65–75.            
Saghi, H. (2018). A parametric study on wave–floating storage tank interaction using coupled VOF-FDM method. Journal of Marine Science and Technology, 24(2), 454–465.
Shao, J. R., Li, H. Q., Liu, G. R., & Liu, M. B. (2012). An improved SPH method for modeling liquid sloshing dynamics. Computers & Structures, 100, 18-26.
Tsao, W. H., Chen, Y. C., Kees, C. E., & Manuel, L. (2022). The Effect of porous media on wave-induced sloshing in a floating tank. Applied Sciences, 12(11).
Wan, J. W. (2021). Numerical solution of finite-volume-based unconfined Navier-Stokes equations and fluid-structure coupling problems by the Lunger-Kutta method [Doctor's Degree, Southwest Jiaotong University].
Wang, B., Wang, T. X., Huang, Y. H., Wu, J. Y., & Lei, G. (2016). Modeling and pressure control characteristics of thermodynamic venting system in liquid hydrogen storage tank. 67(S2), 20-25.
Wang, F. J. (2016). Advances in computational modelling of rotating turbulence in fluid mechanics. Journal of Agricultural Machinery, 47(02), 1–14.
Yao, H., Zhang, H., Liu, H., & Jiang, W. (2017). Engineering - Engineering analysis; recent findings from h.l. yao and co-authors provide new insights into engineering analysis (Numerical study of flow-excited noise of a submarine with full appendages considering fluid structure interaction using the boundary element method). Journal of Engineering, 77, 1–9.
Yu, A. Z. (2021). Numerical simulation of ship bow wave breaking at high speed [Master's Degree, Shanghai Jiao Tong University].
Zeng, Y., Wang, H. B., Sun, M. B., Wang, C., & Liu, X. (2023). SST turbulence model improvements: Review. Acta Aeronautica et Astronautica Sinica, 44(9).
Zhang, Z., Wu, Q., Xie, Y., & Yu, H. (2023a). Experimental and numerical investigations on the liquid tank sloshing in regular waves. Ocean Engineering, 271.    
Zhang, Z. L., Long, T., Chang, J. Z., & Liu, M. B. (2019). A smoothed particle element method (SPEM) for modeling fluid–structure interaction problems with large fluid deformations. Computer Methods in Applied Mechanics and Engineering, 356, 261–293.             
Zhang, Z. L., Shu, C., Liu, Y. Y., Liu, W., Khalid, M. S., & Ullah. (2023b). An improved M-SPEM for modeling complex hydroelastic fluid-structure interaction problems. Journal of Computational Physics, 488.    
Zhou, Y., Qian, W. Q., Deng, Y. Q., & Ma, M. S. (2010). Preliminary analysis of parameter effects in the k-ω SST two-equation turbulence model. Journal of Aerodynamics, 28(02), 213–217.