Sloshing Analysis of a Heterogeneous Viscous Liquid in Immovable Tank under Pitching Excitation

• Main Authors: J. El Bahaoui, H. Essaouini, L. El Bakkali
• Format: Article
• Language: English
• Published: Isfahan University of Technology 2020-01-01
• Series: Journal of Applied Fluid Mechanics
• Subjects: heterogeneous and viscous liquid; numerical simulation; variational method; sloshing analysis; pitching excitation.
• Online Access: http://jafmonline.net/JournalArchive/download?file_ID=53246&issue_ID=1008

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.