Various analytical, numerical and experimental studies have been developed to investigate the effect of liquid sloshing on the dynamic behavior of tank-trucks. However, this type of studies is still complex and expensive. Mechanical models are used to simulate complex phenomena. Using these models in the simulation of deformable bodies provides both geometrical and physical aspects. In this study, a new 3D mechanical model is applied to simulate liquid motion in partially filled tank. This model, which is developed in previous study, is able to simulate lateral, longitudinal and vertical displacements. It may also evaluate pressure forces applied on the tank walls. The main idea of this model is to represent the liquid as a mesh of spring-mass systems. The liquid was divided in multiple masses along each axis. The movement of each mass is simulated by displacement of its mass center; this constitutes the mesh nodes. Each adjacent two nodes are linked by flexible edges having a parallel spring and damper. The discretizing method of the liquid is applied; it is followed by computing of masses and initial coordinates of each node. We show, in detail, the method to obtain stiffness of the springs and damping coefficient of the dampers. Afterwards, equations of dynamic liquid motion are obtained. The system of equations is solved for some examples in order to compare results to the literature.
Many 2D mechanical models have been developed to simulate liquid sloshing of a partially filled tank with different shapes. However, those models don’t represent properly the complex liquid motion, especially in the case of the portable tanks. Indeed, forces exerted on the fluid can be lateral, longitudinal and vertical. Then, liquid displacement and pressure forces applied to the tank walls are undervalued and can cause design flaws. In this case, 2D mechanical models are ineffective for the simulation of liquid motion properly. It this study a 3D equivalent mechanical model has been developed. This dynamical model is used to simulate different liquid motion in a partially filled tank that take into account any sort of excitement forces and get more accurate results in terms of displacements and pressure forces. Afterward, various tank forms and their compatibility with the 3D model are discussed, such as circular, modified oval and modified trapezoidal sections. Finally, equations of motion are developed for each tank shape.
Many of 2D mechanical models have been developed to simulate liquid sloshing of a partially filled tank with different shapes. However, those models didn't represent properly the complex liquid motion, especially in the case of portable tanks. Indeed, forces exerted on the liquid can be lateral, longitudinal and vertical. Then, liquid displacement and pressure forces applied to the tank walls are undervalued and may cause design flaws. In this case, 2D mechanical models are ineffective for liquid motion simulation. In previous studies, a 3D equivalent mechanical model has been developed. This dynamical model is used to simulate different liquid motion in a partially filled tank that consider any sort of excitement forces and get more accurate results in terms of displacements and pressure forces. In this study, a brief description of the new dynamical model is given, including the liquid discretization process, stiffness and damping coefficients computing method and equations of motion. Afterward, the model is applied to an elliptical cross section tank to obtain displacement and pressure forces of the liquid. Finally, the results are compared to the literature.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.