»ã±¨±êÌâ (Title)£ºRigorous Modeling of Droplet Impact Dynamics on Micro-Structured Surfaces: Nonlocal Theory and SPH Simulation of Pancake Bouncing

»ã±¨±êÌâ (ÖÐÎÄ)£ºÒºµÎײ»÷΢½á¹¹±í±í¶¯Á¦Ñ§µÄÑϸñ½¨Ä££º±¡±ý×´µ¯ÌøµÄ·Ç²¿ÃÅÀíÂÛÓëSPH·ÂÕÕ

»ã±¨ÈË (Speaker)£ºÇÇÖлª ½²Ï¯½ÌÊÚ£¨Ïã¸ÛÀí¹¤´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê11ÔÂ4ÈÕ(Öܶþ) 14:00

»ã±¨µØÖ· (Place)£º#ÌÚѶ»áÒ飺440-558-257

Ô¼ÇëÈË(Inviter)£ºÀîÐÂÏé

Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ

»ã±¨ÌáÒª£ºIn this work, we formulate a nonlocal mathematical framework for the simulation of 3D pancake bouncing on superhydrophobic micro-cone arrays. The model incorporates intermolecular attractive forces to represent droplet surface tension, and we provide a strict theoretical derivation linking these forces quantitatively to the macroscopic surface tension coefficient, thereby circumventing the reliance on empirical parameter tuning. The complex geometry of micro-cone arrays introduces fundamental difficulties in defining local normal directions for contact algorithms. To overcome this, we develop a nonlocal contact repulsion force model that governs fluid-solid interactions and ensures numerical stability under high Weber number conditions. Based on this mathematical foundation, we implement the model using smoothed particle hydrodynamics (SPH), enabling high-precision 3D simulations. Computational experiments, validated against empirical data, confirm the model¡¯s accuracy and robustness, while underscoring the key role of numerical simulation in elucidating droplet-microstructure interactions.