A boundary is a section of fluid that flows up-against some surface. Typically the velocity is slower closer to the surface, while at some distance away from the surface

Boundary layer thickness is denoted as
There are multiple types of boundary layers, namely velocity boundary layer and thermal boundary layer.
Fluid flow inside a boundary layer can be laminar or turbulent.

See ME3304 S24 Lecture Note (3) Convection for more information.