Elasto-capillary fluid–structure interaction with compound droplets
Elasto-capillary fluid–structure interaction with compound droplets
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DOI：
10.1016/j.cma.2022.115507
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发表时间：
2022-10
影响因子：
7.2
通讯作者：
Sthavishtha R. Bhopalam;J. Bueno;Héctor Mauricio Serna-Gómez
中科院分区：
文献类型：
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作者：
Sthavishtha R. Bhopalam;J. Bueno;Héctor Mauricio Serna-Gómez
弹性毛细现象是一种流体-结构相互作用现象，固体变形是由毛细力在流体-流体界面上驱动的。近年来，弹性毛细现象的计算建模已成为计算力学中的一个重要问题。然而，涉及三种不混相流体的弹性毛细管问题的高保真模拟仍未得到探索。在这里，我们提出了一个数学模型和算法来模拟涉及复合液滴的弹性毛细问题。这些问题在制药、生物和食品工业应用中至关重要。我们对三种不混相流体采用三元Navier-Stokes-Cahn-Hilliard方程描述的相场模型，对固体采用新hookean模型。我们定义了一个流固表面能函数，它决定了流固润湿性和在流固界面传递给固体的牵引力。流固耦合公式采用边界拟合方法，空间离散化采用等几何分析方法。为了证明我们的计算模型和算法的有效性，我们进行了涉及各种类型的复合液滴的弹性毛细管模拟。
Computational modeling of elasto-capillarity, i.e., a fluid–structure interaction phenomenon where the solid deformation is driven by capillary forces at fluid–fluid interfaces has recently emerged as an important problem in computational mechanics. However, the high-fidelity simulation of elasto-capillary problems involving three immiscible fluids has remained unexplored. Here, we present a mathematical model and an algorithm to simulate elasto-capillary problems involving compound droplets. Such problems are of pivotal importance in pharmaceutical, biological and food industrial applications. We adopt a phase-field model described by the ternary Navier–Stokes–Cahn–Hilliard equations for the three immiscible fluids and a neo-Hookean model for the solid. We define a fluid–solid surface energy function, which determines the fluid–solid wettability and the tractions transmitted to the solid at the fluid–solid interface. We adopt a boundary-fitted approach for our fluid–structure interaction formulation and Isogeometric Analysis for the spatial discretization. To demonstrate the effectiveness of our computational model and algorithm, we perform elasto-capillary simulations involving various types of compound droplets.