Equivalent analytical model for liquid sloshing in a 2-D rectangular container with multiple vertical baffles by...

Area of Science:

• Fluid Dynamics
• Mechanical Engineering
• Structural Analysis

Background:

• Liquid sloshing in containers can induce significant dynamic forces.
• Baffles are often used to suppress sloshing, but their analysis is complex.
• Existing models may not fully capture the behavior of baffled systems.

Purpose of the Study:

• To develop an equivalent analytical model for sloshing in 2-D rigid rectangular containers with multiple vertical baffles.
• To establish a simplified mass-spring model that replicates the hydrodynamic shear and overturning moment of the original system.
• To investigate the influence of baffle parameters and liquid height on sloshing behavior.

Main Methods:

• Subdomain partition approach to divide the liquid domain.
• Separation of variables to solve for velocity potential in subdomains.
• Application of continuity and free surface conditions to determine sloshing characteristics.
• Mode orthogonality to derive the governing motion equation under horizontal excitation.
• Development of an equivalent mass-spring model by matching hydrodynamic shear and overturning moment.

Main Results:

• An equivalent analytical model for liquid sloshing in baffled containers was successfully established.
• The model accurately represents the dynamic behavior by matching key hydrodynamic parameters.
• Comparative investigations verified the feasibility and accuracy of the developed approach.
• The study provides insights into how baffle positions, heights, and liquid levels affect sloshing.

Conclusions:

• The proposed equivalent analytical model offers a simplified yet accurate method for analyzing liquid sloshing in baffled containers.
• This model facilitates efficient investigation of sloshing dynamics and the impact of geometric parameters.
• The findings contribute to improved designs for containers and fluid management systems where sloshing mitigation is crucial.