Yusei Otomi: How to Model Fluid Dynamics Problems — Toward Understanding the Weissenberg Effect

Abstract

This seminar has five goals. First, I introduce the continuity and the Navier–Stokes equations (for incompressible, 3D fluids). Then I will set assumptions and boundary conditions for solving fluid dynamics problems. Afterwards, I will introduce the Weissenberg effect and the Lodge model (for viscoelastic fluids) as well as present recent research results and discuss them using differential geometry. Lastly, I will share some future goals (e.g., SlimeFormers — not Transformers!).