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Boundary Layer Thickness

Air slides over a flat plate and a thin slowed sheet forms along it. Drag the speed slider and watch that sheet thin out as the flow turns from smooth to turbulent.

Leading edge (x=0) Transition x_c δ(x) Free-stream speed U∞ (vertical scale exaggerated 15×)
Exit Reynolds number Re_L
—
Transition location x_c
—m
Exit boundary-layer thickness δ_L
—mm
Flow state
—
What happens, in order Free stream → Reynolds number → Transition → Turbulent flow → Thickness δ
Display mode

Detailed Explanation

What is a boundary layer?

When fluid flows over a solid surface, friction holds the layer nearest the wall nearly still. That slowed sheet is the boundary layer. Its speed climbs from zero at the wall to the free-stream speed at its outer edge.

This simulator lays a flat plate in a steady air stream. The layer begins at the leading edge, grows downstream, and can change character partway along.

Why look at it?

The boundary layer decides drag, heat transfer and whether flow separates from a surface. Its thickness is small, but it sets much of the behaviour engineers care about.

Two ideas matter most: the layer is laminar until the local Reynolds number crosses a critical value, and after transition it thickens far more quickly than it did while laminar.

Components & their role

1. Air approaches at the free-stream speed

Far above the plate the air is undisturbed and moves at the free-stream speed U∞ you set. That speed, together with distance along the plate, drives everything that follows.

2. The Reynolds number grows along the plate

Local Reynolds number equals speed times distance divided by viscosity. It is small at the leading edge and rises steadily downstream, tracking how far the layer has had time to develop.

3. The layer trips from laminar to turbulent

While the Reynolds number stays below about 500,000 the layer is smooth and ordered, and is called laminar. Beyond that critical value the flow becomes turbulent, and the transition point marks the change.

4. A turbulent layer thickens faster

Turbulence mixes the flow far more vigorously than smooth laminar motion. Downstream of transition the layer grows more steeply, and its velocity profile becomes fuller, with a sharp rise close to the wall.

5. Read the thickness at the trailing edge

The marker at the end of the plate reads off the local thickness δ(x). Raising the free-stream speed lifts the Reynolds number, moves the transition point upstream and leaves a thinner layer at the exit.

What is a boundary layer?

It is the thin sheet of fluid next to a surface where friction slows the flow down. At the wall the speed is zero, and it climbs back to the free-stream value at the outer edge of the layer.

Why does the boundary layer get thicker downstream?

Friction acts over a longer stretch of plate as the flow travels further, so more fluid is slowed and the layer grows. On a laminar stretch it grows as the square root of distance.

What is the transition point?

It is the place where the local Reynolds number passes about 500,000 and the layer changes from smooth laminar flow to turbulent flow. Downstream of it the layer thickens much faster.

Why does a faster free stream give a thinner layer?

A higher speed raises the Reynolds number at every station, which pushes the transition point upstream and makes the layer thinner for the same plate length.

What do the velocity profiles show?

Each curve plots speed against height at one station. A laminar profile is a gentle parabola; a turbulent profile is fuller, with a steeper rise close to the wall.

Is the vertical scale real?

No. Boundary layers are very thin compared with the plate length, so the vertical direction is exaggerated about fifteen times in the drawing to make the shape visible.

Common Misconceptions

The air moves at one uniform speed. People picture the whole stream flowing evenly past the plate.
Speed varies across the layer. It is zero at the wall and only reaches the free-stream value at the layer's edge.
The boundary layer keeps the same character everywhere. Once it forms, it just stays as it is.
It can trip from laminar to turbulent. Past a critical Reynolds number the smooth layer becomes turbulent and thickens faster.
A faster stream makes a thicker layer. Pushing air faster should pile up more slowed fluid.
Faster flow thins the layer. Higher speed raises the Reynolds number and moves transition upstream, leaving less growth.
The drawn thickness is to scale. The shaded sheet looks as thick as the plate is long.
The vertical scale is exaggerated. Real layers are extremely thin; the drawing stretches them about fifteen times to show the shape.
Disclaimer: Diagrams are heavily simplified for educational demonstration only. Real-world systems contain far more variables and complexity. Not for engineering production use. Not financial, political or professional advice.