论文标题
用于计算固体表面上无孔蒸发液滴内流体流动的有限元模型
A finite-element model for computing fluid flow inside a sessile evaporating droplet on a solid surface
论文作者
论文摘要
开发了有限元模型，以计算在环境条件下在亲水性底物上蒸发液滴内的流体流动。假定蒸发为准稳态，流动被认为是轴对称，并具有固定的接触线。圆柱坐标中的Navier-Stokes方程在液滴内求解。 Galerkin重量残留方法和速度压力公式用于离散管理方程。使用六个节点三角网格和二次形状函数来获得更高的精度解决方案。将由FEM求解器计算出的轴向方向上的径向速度曲线与现有的分析模型进行了比较，并以极好的一致性发现。速度幅度和流线的轮廓显示出蒸发液滴内部的特征流。
A finite element model was developed to compute the fluid flow inside a sessile evaporating droplet on hydrophilic substrate in ambient conditions. The evaporation is assumed as quasi-steady and the flow is considered as axisymmetric with a pinned contact line. The Navier-Stokes equations in cylindrical coordinates were solved inside the droplet. Galerkin weight residual approach and velocity pressure formulation was used to discretise the governing equations. Six node triangular mesh and quadratic shape functions were used to obtain higher accuracy solutions. Radial velocity profiles in axial directions calculated by the FEM solver were compared with a existing analytical model and were found in excellent agreement. The contours of velocity magnitude and streamlines show the characteristic flow i.e. radially outward inside the evaporating droplet.
