Air and surface effects on water droplet impact /MATHEMATICS-FOR-BUSINESS CALL

研究将基于上述“目标”中给出的主题(i)-(iii)，首先将重点放在理解和预测水滴与水层的相互作用上。该模型涉及科学和工业上的基本新问题，需要困难的新颖分析，然后减少系统计算，包括界面演化动力学，以解释拓扑结构和飞溅液滴形成的详细变化。入射、空气-水相互作用、层深、下垫面粗糙度、预先存在的空气或水的运动以及粘度都是需要分析的实际影响。数学模型将通过UCL-Cranfield的模拟和实验进行验证，并用于预测反弹标准、质量交换和液滴分解特性，为确定的开采路线做好准备，特别是在工业飞溅液滴模型案例中。

The research will be based on the themes (i)-(iii) given in 'Objectives' above, with a concentration on understanding and predicting water-droplet into water-layer interactions only at first. The model there involves fundamental new problems scientifically as well as industrially, requiring difficult novel analyses followed by reduced system computation, including interface evolution dynamics, to explain detailed changes in topology and formation of splashed droplets. Incidence, air-water interactions, layer depth, underlying surface roughness, pre-existing air or water motions, and viscosity are among the realistic effects to be added in analytically. The mathematical models will be validated through the UCL-Cranfield linkage in terms of simulations and experiments, as well as being used to predict rebound criteria, mass exchange and droplet disintegration properties, in preparation for the identified exploitation routes particularly in industrial splashing-droplet modelling cases.