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Boundary layer concept and related terms

Short answer

The boundary layer is a thin viscous layer near a solid surface where velocity rises from zero to free-stream U, outside which flow is inviscid. Boundary layer thickness δ is where u = 0.99U. A laminar sublayer under a turbulent layer has purely viscous shear. The separation point is where the adverse pressure gradient makes (du/dy)wall = 0 and flow detaches.

Define boundary layer concept. Explain the terms boundary layer thickness, laminar sub-layer and point of separation of boundary layer with sketch.

Boundary layer concept

When a real fluid flows past a solid body, fluid at the surface sticks to it (no-slip). Velocity increases from zero at the wall to the free-stream velocity UU over a thin layer. Viscous shear is large only within this layer, called the boundary layer. Outside it the flow is treated as ideal (potential) flow. This idea (Prandtl, 1904) lets the flow be split into a thin viscous layer and an outer inviscid region.

Boundary layer thickness (δ\delta)

It is the distance from the wall at which the velocity equals 99% of the free-stream velocity: u=0.99Uu = 0.99U at y=δy = \delta.

Laminar sub-layer

Under a turbulent boundary layer there is a very thin layer next to the wall in which flow stays laminar and the shear is purely viscous: τ0=μ du/dy\tau_0 = \mu\,du/dy. Its thickness is δ′=11.6ν/u∗\delta' = 11.6\nu/u_*.

Point of separation

It is the point on the surface where flow moving against an adverse pressure gradient (dp/dx>0dp/dx > 0) is brought to rest at the wall, so (du/dy)y=0=0(du/dy)_{y=0} = 0. Downstream the flow near the wall reverses and the boundary layer leaves the surface, forming a wake.

 U -> ===========================
            turbulent BL         separation
                      ~~~~~~~~~~~~  S
 solid ========================\===\====
      laminar sub-layer        <-- back flow

✓ Answer checked by Claude Opus 5.5 (high effort)

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