The effects of the heterogeneity of liquid on the tank sloshing under pitching excitation are analyzed and discussed. The time history of the free surface elevation for tank containing a homogeneous – heterogeneous liquid are recorded and discussed. Numerical simulations are performed for various functions of density using the finite-element method. A theoretical model in the case of heterogeneous viscous liquid are developed using the variation formulation based on the Navier-Stokes equations. The effect of viscosity on the responses is also discussed for each case. In each case, the time history plots for the vertical fluid displacement at a select node, and the pressure in selected elements are presented to illustrate the results of numerical simulations. The effect of heterogeneity parameter of the amplitude of liquid sloshing in a two dimensional partially filled rectangular tank under pitch excitation is conducted to investigate the effects of excitation variable density on the liquid sloshing by a series of numerical experiments. The results are compared with existing theoretical study and the comparison shows fair agreement.
El Bahaoui, J., Essaouini, H., & El Bakkali, L. (2020). Sloshing Analysis of a Heterogeneous Viscous Liquid in Immovable Tank under Pitching Excitation. Journal of Applied Fluid Mechanics, 13(5), 1391-1405. doi: 10.36884/jafm.13.05.30573
MLA
J. El Bahaoui; H. Essaouini; L. El Bakkali. "Sloshing Analysis of a Heterogeneous Viscous Liquid in Immovable Tank under Pitching Excitation", Journal of Applied Fluid Mechanics, 13, 5, 2020, 1391-1405. doi: 10.36884/jafm.13.05.30573
HARVARD
El Bahaoui, J., Essaouini, H., El Bakkali, L. (2020). 'Sloshing Analysis of a Heterogeneous Viscous Liquid in Immovable Tank under Pitching Excitation', Journal of Applied Fluid Mechanics, 13(5), pp. 1391-1405. doi: 10.36884/jafm.13.05.30573
VANCOUVER
El Bahaoui, J., Essaouini, H., El Bakkali, L. Sloshing Analysis of a Heterogeneous Viscous Liquid in Immovable Tank under Pitching Excitation. Journal of Applied Fluid Mechanics, 2020; 13(5): 1391-1405. doi: 10.36884/jafm.13.05.30573
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