Coupled multimodal fluid-vehicle model for analysis of anti-slosh effectiveness of longitudinal baffles in a partially-filled tank vehicle

Hydrodynamic Analysis of Partially Filled Liquid Tanks Subject to 3D Vehicular Manoeuvring

“…where β j is a generalized coordinate, ω j is the circular natural frequency of the j-th sloshing mode (note that j can be an integer for 2D sloshing or an integer pair j = (a, b) for 3D sloshing), and η 1 , η 2 , η 4 , η 5 , and η 6 denote the prescribed surge, sway, roll, pitch, and yaw motions of the sloshing tank, respectively. Equations (8) and (9) show that η 3 , which denotes the heave motion of the tank, does not show up in K j (t), which means a pure heave motion will not induce liquid sloshing. However, in the coupled fluid-vehicle problems, if there is a coupling of heave motion with other DOFs in the vehicle motion equation, the heave motion still has to be considered and a 6-DOF equation of motion needs to be established.…”

“…e hydrodynamic parameters are derived from the free surface shape function f j and the Stokes-Joukowski potential Ω ij , with the same scale of mass. e sloshing force and moment are calculated by solving the modal equation (equations (8) and (9)), given that all the prescribed motion and hydrodynamic parameters are known. Neglecting the sloshing moment induced purely by Stokes-Joukowski potential and considering only the effect of free surface vibration, the sloshing force and moment components can be written as [16]…”

“…In addition, sloshing exerts extra force and moment on the vehicle as well, which affects the running safety and the structural integrity of the vehicle. In practice, baffles are often installed in liquid tanks to reduce the sloshing effect [6][7][8][9][10].…”

“…Since simple analytical solution to these coefficients may not exist for random tank shapes other than simple geometries such as rectangular or vertically placed cylindrical tanks, it is highly desirable that a computationally efficient numerical approach still needs to be established for evaluating the hydrodynamic coefficients. For example, both linear and nonlinear boundary element methods [8,22] have been employed to evaluate the hydrodynamic coefficients by solving the velocity potential. Semianalytical methods to get the velocity potential and eigenvalues for certain tank geometry have also been investigated [23].…”

Free vibration analysis of coupled sloshing-flexible membrane system in a liquid container

“…Although the effectiveness of baffles for damping of liquid slosh in tank vehicles has been demonstrated in many studies (e.g., Cheli et al., 2013; Kolaei et al., 2015a, 2015b,2017), the baffles increase the tank structure weight and cost, and may hinder cleaning of tanks employed in general-purpose transportation of bulk liquids. Moreover, the conventional transverse baffles offer minimal resistance to liquid slosh in the roll plane.…”