4 papers
Controlling three-dimensional falling liquid films: from weighted-residual models to direct numerical simulation
Oscar A. Holroyd, Susana N. Gomes, Radu Cimpeanu
We consider the problem of controlling a three-dimensional falling liquid film using same-fluid blowing and suction through the substrate. Building upon recent results for the corr…
Non-linear estimators for the observation and stabilisation of falling liquid films
Oscar Holroyd, Radu Cimpeanu, Susana N. Gomes
Falling liquid films are complex physical processes modelled by infinite-dimensional dynamical systems. The interfacial behaviour is characterised by the Reynolds number, a nondime…
Stabilisation of falling liquid films with restricted observations
Oscar A. Holroyd, Radu Cimpeanu, Susana N. Gomes
We propose a method to stabilise a solution to equations describing the interface of thin liquid films falling under gravity with a finite number of actuators and restricted observ…
Linear quadratic regulation control for falling liquid films
Oscar A. Holroyd, Radu Cimpeanu, Susana N. Gomes
We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rap…