Analytical Solution of Non-Isothermal Film (and Couette) flows over topography.

沉积在具有良好地形的表面上的薄膜涂层在减少发动机摩擦、电路散热、限制飞机和船舶、生物医疗设备、成像介质、微电子元件等方面发挥着至关重要的作用。此外，深入了解与地形上薄膜流动相关的机制对于提高竞争力、减少能源消耗和最终减少环境污染具有全球意义。热效应在上述方面往往起着关键作用，对其的了解仍处于发展的早期阶段，挑战是揭示各种支撑物理过程之间的复杂相互作用。为此目的，拟议的分析方法对于确定参数空间的重要领域、为收集最先进的实验和流动可视化提供信息，以及利用准确的数值方法指导互补的计算调查至关重要。此外，阿克塞尔教授在英国的逗留将提供当地没有的技能、方法和专门知识的独特注入。他将与主办机构的工作人员、研究生和研究员互动，也将与利兹和全国更广泛的流体力学社区互动，并将利用他的数学能力、物理洞察力和专业知识为该社区造福。

Thin film coatings deposited on surfaces containing well defined topography play a vital role in, for example, reducing friction in engines, heat dissipation in electric circuits, limiting ice accretion on aircrafts and ships, bio-medical devices, imaging media, micro-electric components, etc. Moreover, a deeper understanding of the mechanisms associated with film flows over topography has global relevance to increased competitiveness, reduced energy consumption and ultimately less environmental pollution.Thermal effects often play a crucial role in the above, the understanding of which remains at an early stage of development / the challenge being to unravel the complex interplay between the various underpinning physical processes. The proposed analytic approaches to be utilized for this purpose are central to identifying important areas of parameter space, informing the gathering of state-of-the-art experiments and flow visualizations, and directing complementary computational investigations utilising accurate numerical methods.In addition, Professor Aksel's stay in the UK will provide a unique injection of skills, methodology and know-how which is not available locally. He will interact with staff, research students and fellows at the host institution, and also with the wider fluid mechanics community in Leeds and nationally, and will employ his mix of mathematical abilities, physical insight and expertise to the benefit of that community.