2021 10 11 Applied seminar by K Ren UCL Fluid Plate Interaction and its Applications

This Applied Mathematics Research Seminar, UEA, was on Monday, October 11, through MS Teams.

Speaker: Kang Ren (UCL)

Title: Fluid-Plate Interaction and its Applications

Abstract: The talk will focus on my research on fluid-plate interaction and its engineering applications in marine engineering and other relevant fields. An overview of my previous research on wave-ice-structure interaction in unbounded ocean during my PhD will be briefly introduced first. Then, the fluid-plate interaction problems in regions confined with vertical walls will be demonstrated, which include the study of hydroelastic waves propagating in an ice-covered channel and the most recent one on the natural modes of liquid sloshing in a circular cylindrical tank with an elastic cover. The ice sheet cover (or other elastic covers) can be modelled as the elastic thin beam/plate (Euler-Bernoulli beam/Kirchhoff-Love plate), and the fluid is treated as inviscid, incompressible and motion as irrotational (potential flow theory). In the developed schemes, same expansions are adopted for both the fourth-order derivatives of the plate deflection and the velocity potential of the fluid domain. This not only helps to improve the efficiency of the matching procedure, but also provides a convenient means to impose the edge conditions. Based on this, the equation for natural frequencies is expressed in a neat form, and extensive results for plate deflection, and the maximum principal strain distribution are further investigated.