Feedback control of falling liquid films using a hierarchical model approach

Description:  The flow of a thin film down an inclined plane is a canonical setup in fluid mechanics and associated technologies, with applications such as coating, where the liquid-gas interface should ideally be flat, and heat or mass transfer, where an increase of interfacial area is desirable. In each of these applications, we would like to robustly and efficiently manipulate the flow in order to drive the dynamics to a desired interfacial shape. In this talk, I will propose a feedback control methodology based on same fluid blowing and suction through the wall. The controls will be developed in the lower rungs of a hierarchy of models for a falling liquid film based on reduced-order modelling and asymptotic analysis. The goal is to develop control strategies at these more cost-effective levels of the hierarchy (both the lowest rung modelled by the Kuramoto-Sivashinsky equations, and at a “middle” level, consisting of two long-wave models) and investigate their ability to translate across the hierarchy into real-life solutions by using direct numerical simulations of the Navier-Stokes equations, which in this context act as an in silico experimental framework. I will discuss distributed controls as well as (more realistic) point-actuated controls, their robustness to parameter uncertainties and validity across the hierarchy of models. Date:  2021-04-16 Start Time:   14:30 Speaker:  Susana Gomes (Univ. Warwick, UK) Institution:  University of Warwick Place:  Zoom meeting - https://videoconf-colibri.zoom.us/j/82991798592 Research Groups: -Numerical Analysis and Optimization See more:   <Main>