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Anti-Sloshing in a Laterally Excited Tank with Parabolic-End Vertical Baffles having nonlinear pressure drop using scaled boundary finite element method
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DOI：10.1016/j.enganabound.2026.106840.png)
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Abstract
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The suppression of liquid sloshing in partially filled tanks using porous baffles is commonly modeled through linear flow resistance, despite evidence that the pressure–velocity relationship across porous screens exhibits nonlinear behavior at moderate to high oscillatory velocities. This study investigates sloshing dynamics in a two-dimensional rectangular tank equipped with multiple vertical porous baffles using the scaled boundary finite element method (SBFEM), incorporating a nonlinear Darcy–Forchheimer-type boundary condition along the baffle surfaces through an iterative solution procedure. The formulation is first validated against established numerical and experimental results. A comprehensive parametric study then examines the combined effects of baffle porosity, submergence depth, and spacing on free-surface elevations across a wide range of excitation frequencies. Results show that nonlinear resistance induces amplitude-dependent energy dissipation and modifies inter-compartment fluid coupling, producing frequency-dependent sloshing responses that differ substantially from predictions based on linear porous models. These effects are particularly pronounced in multi-baffle configurations and at higher excitation levels. The findings underscore the limitations of linear porous approximations and highlight the importance of accounting for nonlinear resistance in sloshing analyses. The proposed SBFEM-based framework provides an efficient and physically consistent tool for predicting sloshing dynamics in tanks with porous structures under realistic operating conditions, offering insights directly applicable to design and mitigation strategies in engineering practice.
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