This is the most common "FEA fluid" application. The fluid pushes on a solid (e.g., a heart valve or airplane wing), and the solid bends back to change the fluid flow.
∫Ωq(∇⋅u)dΩ=0integral over cap omega of q open paren nabla center dot bold u close paren space d cap omega equals 0 The LBB (Ladyzhenskaya-Babuška-Brezzi) Condition fea fluid dynamics
When fluid velocities increase, the convective term dominates over the viscous term. The dimensionless quantifies this relationship: This is the most common "FEA fluid" application