In this paper, the displacement and deformation of a two-dimensional droplet on a vertical wall are examined using a modified pseudopotential model and imposing the multi-relaxation time into the collision term. The selected model guarantees the thermodynamic consistency adjusting proper values for the constant of the potential function k and the weighting factor for the force term, A. Also, it is possible to add adhesion forces and create different contact angles defining the index function for the solid points. Accordingly, non-dimensional parameters of Reynolds number, Weber number, Froude number, and density ratio are defined under the influence of the gravitational force and the uniform vapor flow. Results show that the change of the each dimensionless numbers affects the slip ratio between the droplet and vapor. It is also observed that in addition to the effects of viscous and gravitational forces, the change of the contact angle plays a significant role in the displacement and velocity of the droplet. The results show that reducing the contact angle increases the surface wettability and decreases the droplet velocity. It is seen that by decreasing the intermolecular forces at the Weber number of 62.36 and contact angle of 150°, the droplet begins to decay. Also, it is concluded that the droplet rubbing on the solid surface weakens the slip ratio in all cases.

在本文中，使用改进的伪势模型并在碰撞项中施加多重松弛时间，研究了二维液滴在垂直壁上的位移和变形。选择的模型保证了热力学一致性，可以为势函数k的常数和力项A的加权因子调整适当的值。同样，可以增加附着力并创建不同的接触角，从而定义固点的指数函数。因此，在重力和均匀蒸汽流的影响下，定义了雷诺数，韦伯数，弗洛德数和密度比的无量纲参数。结果表明，每个无量纲数的变化都会影响液滴与蒸气之间的滑移率。还观察到，除了粘性和重力的作用外，接触角的变化在液滴的位移和速度中也起着重要的作用。结果表明，减小接触角可提高表面润湿性并降低液滴速度。可以看出，通过减小韦伯数为62的分子间力。在36°和150°的接触角下，液滴开始衰减。而且，可以得出结论，在所有情况下，在固体表面上摩擦的液滴都会削弱滑移率。